Método de Bisección

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description

Ejercicios practicos de metodos numeriscos: Metodo de biseccion

Transcript of Método de Bisección

Page 1: Método de Bisección

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Page 3: Método de Bisección

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Page 4: Método de Bisección

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Page 5: Método de Bisección

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Page 7: Método de Bisección

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Page 8: Método de Bisección

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Page 17: Método de Bisección

{\shp{\*\shpinst\shpleft3146\shptop4520\shpright3786\shpbottom4533\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2031\shpz2\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 640}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(653,13);(653,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft6546\shptop5573\shpright6840\shpbottom5586\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2032\shpz3\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 294}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(293,13);(293,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft7093\shptop5573\shpright7506\shpbottom5586\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2033\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 413}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(413,13);(413,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}

Page 18: Método de Bisección

{\shp{\*\shpinst\shpleft6440\shptop6080\shpright6733\shpbottom6093\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2034\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 293}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(293,13);(293,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop14613\shpright3426\shpbottom14626\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2035\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 506}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(506,13);(506,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2906\shptop13426\shpright3826\shpbottom13853\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2036\shpz7\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}

Page 19: Método de Bisección

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Page 20: Método de Bisección

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00145145001451450014514500145145001451450014514500145145001451450014514500145145001451450014514500145145001451450014514500145145001451450014514500145145001451450014514500145145001451450014514500145145001451450014514500145145001451450014514500145145007FFFD9}}}}}\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\margtsxn666\margbsxn373\cols2\colno1\colw4026\colsr-0\colno2\colw7066\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-426\slmult0 \fs24\cf0\f0\charscalex100\b {1.}\b0 \fs24\cf0\f0\charscalex100\b { }\b0 \par\column\pard\li453\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li80\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li893\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\li986\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li986\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li986\ri0\sl-426\slmult0 \fs24\cf0\f0\charscalex100\b {SEMANA 03 }\b0 \par\pard\li0\ri0\sl-440\slmult0 \fs24\cf0\f0\charscalex100\b {RESOLUCIÓN DE EJERCICIOS }\b0 \par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1040\ri0\sl-453\slmult0 \fs24\cf0\f2\charscalex100 {Use el método de bisección para hal ar las raíces de las ecuaciones de la forma }{ }\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X) = 0}\fs24\cf0\f2\charscalex100 {,}\par\pard\li1040\ri0\sl-266\slmult0 \fs24\cf0\f2\charscalex100 {donde:}\fs24\cf0\f2\charscalex100 { }\par\pard\li1400\ri0\sl-493\slmult0 \*\tx1760\fs24\cf0\f2\charscalex100 {a)}\fs24\cf0\f2\charscalex100 { }\tab \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X) =}{ }\fs18\cf0\f0\charscalex100 {0 8 0 3\uc1\u55349X\uc1\u56421X}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw5440\colsr-0\colno2\colw5653\pard\li2746\ri0\sl-160\slmult0 \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}\par\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-253\slmult0 \fs24\cf0\f2\charscalex100 {- Despejando: }\par\column\pard\li0\ri0\sl-360\slmult0 \fs16\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56390X\uc1\u55349X\uc1\u56386X\uc1\u55349X\uc1\u56383X\uc1\u55349X\uc1\u56392X\uc1\u55349X\uc1\u56374X\uc1\u55349X\uc1\u56380XÓ\uc1\u55349X\uc1\u56385X}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw5880\colsr-0\colno2\colw546\colsr-0\colno3\colw4666\pard\li5160\ri0\sl-426\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X) =}\par\column\pard\li0\ri0\sl-200\slmult0 \fs24\cf0\f0\charscalex100 {0 8}\par\pard\li80\ri0\sl-373\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}\par\column\pard\li0\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {0 3\uc1\u55349X\uc1\u56421X}\par\pard\li146\ri0\sl-320\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw6333\colsr-0\colno2\colw4760\pard\li5773\ri0\sl-160\slmult0 \fs24\cf0\f0\charscalex100 {0 8}\par\pard\li4973\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X) = (}\par\pard\li5866\ri0\sl-226\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}\par\column\pard\li0\ri0\sl-293\slmult0 \fs24\cf0\f0\charscalex100 {0 3) \uc1\u8727X \uc1\u55349X\uc1\u56421X}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw4853\colsr-0\colno2\colw6240\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\r

Page 48: Método de Bisección

i0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-253\slmult0 \fs24\cf0\f2\charscalex100 {Trabajando }\fs24\cf0\f2\charscalex100 {en}\fs24\cf0\f2\charscalex100 { }{ }\fs24\cf0\f0\charscalex100 {2 , 3}\par\pard\li2453\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2453\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2453\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 0}\par\pard\li2253\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2253\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2253\ri0\sl-386\slmult0 \*\tx2626\fs24\cf0\f0\charscalex100 {2}\tab \fs24\cf0\f0\charscalex100 {3}\par\column\pard\li306\ri0\sl-226\slmult0 \*\tx1573\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X) = 0 8}\tab \fs22\cf0\f0\charscalex100 {0 3\uc1\u55349X\uc1\u56421X}\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-346\slmult0 \fs24\cf0\f0\charscalex100 { \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs20\cf0\f0\charscalex100 {, \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {= 2 , 3}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw2440\colsr-0\colno2\colw8653\pard\li1746\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-373\slmult0 \*\tx373\fs24\cf0\f0\charscalex100 {2}\tab \fs24\cf0\f0\charscalex100 {= 2 5}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw7760\colsr-0\colno2\colw3333\pard\li1746\ri0\sl-426\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(2) \uc1\u8727X \uc1\u55349X\uc1\u56403X(2 5) = (0 1) \uc1\u8727X (0 }\fs24\cf0\f0\charscalex100 {02}\fs24\cf0\f0\charscalex100 {) = 2 \uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\column\pard\li0\ri0\sl-400\slmult0 \fs24\cf0\f0\charscalex100 {0}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2058\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}

Page 49: Método de Bisección

{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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

Page 50: Método de Bisección

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{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1346,13);(1346,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3293\shptop2866\shpright4813\shpbottom2880\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2042\shpz3\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1520}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1520,13);(1520,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2906\shptop5053\shpright3586\shpbottom5066\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2043\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 680}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(666,13);(666,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3413\shptop6186\shpright5053\shpbottom6200\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2044\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1640}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}

Page 56: Método de Bisección

{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1640,13);(1640,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop8360\shpright3880\shpbottom8373\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2045\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 960}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(960,13);(960,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3413\shptop9506\shpright5053\shpbottom9520\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2046\shpz7\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1640}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1640,13);(1640,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop11680\shpright4000\shpbottom11693\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2047\shpz8\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1080}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}

Page 57: Método de Bisección

{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1080,13);(1080,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3413\shptop12826\shpright5053\shpbottom12840\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2048\shpz9\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1640}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1640,13);(1640,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop15000\shpright4000\shpbottom15013\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2049\shpz10\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1080}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1080,13);(1080,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop4146\shpright3826\shpbottom4573\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2050\shpz11\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}

Page 58: Método de Bisección

{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop4146\shpright3826\shpbottom4573\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2051\shpz12\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop7453\shpright3826\shpbottom7893\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2052\shpz13\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop7453\shpright3826\shpbottom7893\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2053\shpz14\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}

Page 59: Método de Bisección

{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop10773\shpright3826\shpbottom11213\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2054\shpz15\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop10773\shpright3826\shpbottom11213\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2055\shpz16\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop14093\shpright3826\shpbottom14533\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2056\shpz17\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}

Page 60: Método de Bisección

{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop14093\shpright3826\shpbottom14533\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2057\shpz18\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\margtsxn666\margbsxn386\cols3\colno1\colw2466\colsr-0\colno2\colw1400\colsr-0\colno3\colw7226\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-360\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(2) =}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-400\slmult0 \*\tx546\fs24\cf0\f0\charscalex100 {0 8}\tab \fs24\cf0\f0\charscalex100 {(0 3 \uc1\u8727X 2)}\par\pard\li613\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\column\pard\li613\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li240\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li1053\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-373\slmult0 \fs24\cf0\f0\charscalex100 {= 0 1}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw2626\colsr-0\colno2\colw1573\colsr-0\colno3\colw6893\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-333\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(2 5) =}\par\pard\li1840\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1840\ri0\sl-280\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18

Page 61: Método de Bisección

\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\par\column\pard\li0\ri0\sl-373\slmult0 \*\tx560\fs24\cf0\f0\charscalex100 {0 8}\tab \fs24\cf0\f0\charscalex100 {(0 3 \uc1\u8727X 2 5)}\par\pard\li613\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2 5}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-333\slmult0 \fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {02}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-360\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 { = 2 5 , 3}\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-426\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 1}\par\pard\li2240\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2240\ri0\sl-306\slmult0 \*\tx2800\fs24\cf0\f0\charscalex100 {2 5}\tab \fs24\cf0\f0\charscalex100 {3}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw2520\colsr-0\colno2\colw8573\pard\li1746\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-373\slmult0 \*\tx453\fs24\cf0\f0\charscalex100 {2}\tab \fs24\cf0\f0\charscalex100 {= 2 }\fs24\cf0\f0\charscalex100 {75}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-413\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(2 5) \uc1\u8727X \uc1\u55349X\uc1\u56403X(2 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {) = (0 }\fs24\cf0\f0\charscalex100 {02}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X ( 9 }\fs24\cf0\f0\charscalex100 {09 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {) = 1 }\fs24\cf0\f0\charscalex100 {82 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 { 0}\par\pard\li2746\ri0\sl-400\slmult0 \*\tx3306\fs24\cf0\f0\charscalex100 {0 8}\tab \fs24\cf0\f0\charscalex100 {(0 3 \uc1\u8727X 2 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {)}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw3360\colsr-0\colno2\colw1093\colsr-0\colno3\colw6640\pard\li1746\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(2 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {) =}\par\pard\li1840\ri0\sl-440\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\par\column\pard\li0\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2 }\fs24\cf0\f0\charscalex100 {75}\par\column\pard\li0\ri0\sl-266\slmult0 \*\tx386\fs24\cf0\f0\charscalex100 {=}\tab \fs24\cf0\f0\charscalex100 {9 }\fs24\cf0\f0\charscalex100 {09 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-346\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 { = 2 5 , 2 }\fs24\cf0\f0\charscalex100 {75}\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 2}\par\pard\li2253\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2253\ri0\sl-306\slmult0 \*\tx2800\fs24\cf0\f0\charscalex100 {2 5}\tab \fs24\cf0\f0\charscalex100 {2 }\fs24\cf0\f0\charscalex100 {75}\par\pard\sect\sectd\sbk

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none\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw2666\colsr-0\colno2\colw600\colsr-0\colno3\colw7826\pard\li1746\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\column\pard\li0\ri0\sl-160\slmult0 \fs24\cf0\f0\charscalex100 {= 2 }\fs24\cf0\f0\charscalex100 {63}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw9026\colsr-0\colno2\colw2066\pard\li1746\ri0\sl-413\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(2 5) \uc1\u8727X \uc1\u55349X\uc1\u56403X(2 }\fs24\cf0\f0\charscalex100 {63}\fs24\cf0\f0\charscalex100 {) = (0 }\fs24\cf0\f0\charscalex100 {02}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X (4 }\fs24\cf0\f0\charscalex100 {18 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {) = 8 }\fs24\cf0\f0\charscalex100 {37 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {5}}\par\pard\li2746\ri0\sl-400\slmult0 \*\tx3306\fs24\cf0\f0\charscalex100 {0 8}\tab \fs24\cf0\f0\charscalex100 {(0 3 \uc1\u8727X 2 }\fs24\cf0\f0\charscalex100 {63}\fs24\cf0\f0\charscalex100 {)}\par\column\pard\li0\ri0\sl-386\slmult0 \fs24\cf0\f0\charscalex100 {0}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw3360\colsr-0\colno2\colw1093\colsr-0\colno3\colw6640\pard\li1746\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(2 }\fs24\cf0\f0\charscalex100 {63}\fs24\cf0\f0\charscalex100 {) =}\par\pard\li1840\ri0\sl-440\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {2}}\par\column\pard\li0\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2 }\fs24\cf0\f0\charscalex100 {63}\par\column\pard\li0\ri0\sl-266\slmult0 \fs24\cf0\f0\charscalex100 {= 4 }\fs24\cf0\f0\charscalex100 {18 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-360\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 { = 2 }\fs24\cf0\f0\charscalex100 {63}\fs24\cf0\f0\charscalex100 { , 2 }\fs24\cf0\f0\charscalex100 {75}\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-426\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 3}\par\pard\li2253\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2253\ri0\sl-306\slmult0 \*\tx2920\fs24\cf0\f0\charscalex100 {2 }\fs24\cf0\f0\charscalex100 {63}\tab \fs24\cf0\f0\charscalex100 {2 }\fs24\cf0\f0\charscalex100 {75}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw2733\colsr-0\colno2\colw653\colsr-0\colno3\colw7706\pard\li1746\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\column\pard\li0\ri0\sl-160\slmult0 \fs24\cf0\f0\charscalex100 {= 2 }\fs24\cf0\f0\charscalex100 {69}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw9933\colsr-0\colno2\colw1160\pard\li1746\ri0\sl-413\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(2 }\fs24\cf0\f0\charscalex100 {63}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X \uc1\u55349X\uc1\u56403X(2 }\fs24\cf0\f0\charscalex100 {69}\fs24\cf0\f0\charscalex100 {) = (4 }\fs24\cf0\f0\charscalex100 {18 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100

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{) \uc1\u8727X ( 2 6 \uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {) = 1 }\fs24\cf0\f0\charscalex100 {09 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {5}}\par\pard\li2746\ri0\sl-400\slmult0 \*\tx3306\fs24\cf0\f0\charscalex100 {0 8}\tab \fs24\cf0\f0\charscalex100 {(0 3 \uc1\u8727X 2 }\fs24\cf0\f0\charscalex100 {69}\fs24\cf0\f0\charscalex100 {)}\par\column\pard\li0\ri0\sl-386\slmult0 \fs24\cf0\f0\charscalex100 {0}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw3360\colsr-0\colno2\colw1093\colsr-0\colno3\colw6640\pard\li1746\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(2 }\fs24\cf0\f0\charscalex100 {69}\fs24\cf0\f0\charscalex100 {) =}\par\pard\li1840\ri0\sl-440\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {3}}\par\column\pard\li0\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2 }\fs24\cf0\f0\charscalex100 {69}\par\column\pard\li0\ri0\sl-266\slmult0 \*\tx386\fs24\cf0\f0\charscalex100 {=}\tab \fs24\cf0\f0\charscalex100 {2 6 \uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-360\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 { = 2 }\fs24\cf0\f0\charscalex100 {63}\fs24\cf0\f0\charscalex100 { , 2 }\fs24\cf0\f0\charscalex100 {69}\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-426\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 4}\par\pard\li2253\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2253\ri0\sl-293\slmult0 \*\tx2920\fs24\cf0\f0\charscalex100 {2 }\fs24\cf0\f0\charscalex100 {63}\tab \fs24\cf0\f0\charscalex100 {2 }\fs24\cf0\f0\charscalex100 {69}\par\pard\li1746\ri0\sl-253\slmult0 \*\tx3386\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 {=}\tab \fs24\cf0\f0\charscalex100 {= 2 }\fs24\cf0\f0\charscalex100 {67}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li2733\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2067\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 134}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(133,13);(133,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop12853\shpright3426\shpbottom12866\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2062\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 506}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(506,13);(506,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft4173\shptop13733\shpright4306\shpbottom13746\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2063\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 133}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(120,13);(120,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft4506\shptop14226\shpright4800\shpbottom14240\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2064\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}

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{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 294}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(293,13);(293,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2906\shptop11653\shpright3826\shpbottom12093\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2065\shpz7\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2906\shptop11653\shpright3826\shpbottom12093\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2066\shpz8\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1706\shptop4893\shpright10920\shpbottom9586\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2069\shpz9\shpbxpage\shpbypage

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}}}}}\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\margtsxn666\margbsxn400\pard\li4480\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li4106\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li4920\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\li1746\ri0\sl-466\slmult0 \*\tx7960\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(2 }\fs24\cf0\f0\charscalex100 {63}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X \uc1\u55349X\uc1\u56403X(2 }\fs24\cf0\f0\charscalex100 {67}\fs24\cf0\f0\charscalex100 {) = (4 }\fs24\cf0\f0\charscalex100 {18 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X (0 }\fs24\cf0\f0\charscalex100 {001}\fs24\cf0\f0\charscalex100 {) }\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li2746\ri0\sl-386\slmult0 \*\tx3306\fs24\cf0\f0\charscalex100 {0 8}\tab \fs24\cf0\f0\charscalex100 {(0 3 \uc1\u8727X 2 }\fs24\cf0\f0\charscalex100 {67}\fs24\cf0\f0\charscalex100 {)}\par\pard\li1746\ri0\sl-226\slmult0 \*\tx4453\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(2 }\fs24\cf0\f0\charscalex100 {67}\fs24\cf0\f0\charscalex100 {) =}\tab \fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {001}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw3360\colsr

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-0\colno2\colw1040\colsr-0\colno3\colw6693\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-306\slmult0 \fs24\cf0\f2\charscalex100 {RAIZ:}\par\pard\li1746\ri0\sl-320\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 {= 2 }\fs24\cf0\f0\charscalex100 {67}\par\column\pard\li0\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {2 }\fs24\cf0\f0\charscalex100 {67}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-413\slmult0 \*\tx2720\fs24\cf0\f0\charscalex100\b {b)}\b0 \fs24\cf0\f0\charscalex100\b { }\b0 { }\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56455X(\uc1\u55349X\uc1\u56473X) = \uc1\u55349X\uc1\u56473X}\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57296X}{ }\fs22\cf0\f0\charscalex100 {\uc1\u8727X |\uc1\u55349X\uc1\u56348X\uc1\u55349X\uc1\u56360X\uc1\u55349X\uc1\u56364X(\uc1\u8730X\uc1\u55349X\uc1\u56473X)|}\tab \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57299X}\par\pard\li1146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1146\ri0\sl-346\slmult0 \fs24\cf0\f2\charscalex100 {Solución: }\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li400\ri0\sl-360\slmult0 \fs24\cf0\f2\charscalex100 {INTERVALOS: [-}\fs24\cf0\f2\charscalex100 {2,}\fs24\cf0\f2\charscalex100 {-1] y [3,4] }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw4853\colsr-0\colno2\colw6240\pard\li1400\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1400\ri0\sl-346\slmult0 \fs24\cf0\f2\charscalex100 {- Trabajando en }{ }\fs24\cf0\f0\charscalex100 {3 , 4}\par\pard\li2453\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2453\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2453\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 0}\par\pard\li2253\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2253\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2253\ri0\sl-373\slmult0 \*\tx2626\fs24\cf0\f0\charscalex100 {3}\tab \fs24\cf0\f0\charscalex100 {4}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-440\slmult0 \fs24\cf0\f0\charscalex100 { \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs20\cf0\f0\charscalex100 {, \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {= 3 , 4}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw2440\colsr-0\colno2\colw8653\pard\li1746\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-373\slmult0 \*\tx373\fs24\cf0\f0\charscalex100 {2}\tab \fs24\cf0\f0\charscalex100 {= 3 5}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-413\slmult0 \*\tx7600\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(3) \uc1\u8727X \uc1\u55349X\uc1\u56403X(3 5) = (3 }\fs24\cf0\f0\charscalex100 {996}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X (7 }\fs24\cf0\f0\charscalex100 {243}\fs24\cf0\f0\charscalex100 {) = }\fs24\cf0\f0\charscalex100 {28 943}\fs24\cf0\f0\charscalex100 { }\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li1746\ri0\sl-453\slmult0 \*\tx4066\fs

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24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(3) = 3}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {\uc1\u8727X |cos(\uc1\u8730X3)|}\tab \fs24\cf0\f0\charscalex100 {5 = 3 }\fs24\cf0\f0\charscalex100 {996}\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-280\slmult0 \*\tx4560\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(3 5) = 3 5}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {\uc1\u8727X |cos(\uc1\u8730X3 5)|}\tab \fs24\cf0\f0\charscalex100 {5 = 7 }\fs24\cf0\f0\charscalex100 {243}\par\pard\li1840\ri0\sl-426\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\par\pard\li1746\ri0\sl-360\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 { = 3 5 , 4}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2074\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop2986\shpright3826\shpbottom3426\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2073\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1706\shptop7013\shpright10920\shpbottom11746\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2076\shpz6\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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mult0 \fs18\cf0\par\pard\li226\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li226\ri0\sl-333\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 1}\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-306\slmult0 \*\tx560\fs24\cf0\f0\charscalex100 {3 5}\tab \fs24\cf0\f0\charscalex100 {4}\par\pard\li280\ri0\sl-373\slmult0 \*\tx733\fs24\cf0\f0\charscalex100 {2}\tab \fs24\cf0\f0\charscalex100 {= 3 }\fs24\cf0\f0\charscalex100 {75}\par\column\pard\li373\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li0\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li813\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-413\slmult0 \*\tx7880\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(3 5) \uc1\u8727X \uc1\u55349X\uc1\u56403X(3 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {) = (7 }\fs24\cf0\f0\charscalex100 {243}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X (9 }\fs24\cf0\f0\charscalex100 {005}\fs24\cf0\f0\charscalex100 {) = }\fs24\cf0\f0\charscalex100 {65 223}\fs24\cf0\f0\charscalex100 { }\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li1746\ri0\sl-453\slmult0 \*\tx4933\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(3 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {) = 3 }\fs24\cf0\f0\charscalex100 {75}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {\uc1\u8727X |cos(\uc1\u8730X3 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {)|}\tab \fs24\cf0\f0\charscalex100 {5 = 9 }\fs24\cf0\f0\charscalex100 {055}\par\pard\li1746\ri0\sl-440\slmult0 \fs24\cf0\f2\charscalex100 {RAIZ:}\par\pard\li1746\ri0\sl-320\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= 3 }\fs24\cf0\f0\charscalex100 {75}\par\pard\li4706\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4706\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4706\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4706\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4706\ri0\sl-266\slmult0 \*\tx5066\*\tx6280\*\tx6800\fs24\cf0\f0\charscalex100\b {c)}\b0 \fs24\cf0\f0\charscalex100\b { }\b0 \tab \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56455X(\uc1\u55349X\uc1\u56473X) = \uc1\u55349X\uc1\u56454X}\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56473X}\tab \fs16\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57297X\uc1\u55349X\uc1\u56473X}\tab \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57298X}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2089\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 680}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(666,13);(666,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3280\shptop10760\shpright4253\shpbottom10773\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2079\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 973}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(960,13);(960,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3280\shptop13960\shpright4493\shpbottom13973\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2080\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1213}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1200,13);(1200,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2840\shptop2453\shpright3746\shpbottom2880\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2081\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}

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{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2840\shptop2453\shpright3746\shpbottom2880\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2082\shpz7\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2840\shptop6520\shpright3760\shpbottom6960\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2083\shpz8\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2840\shptop6520\shpright3760\shpbottom6960\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2084\shpz9\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}

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{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2866\shptop9893\shpright3786\shpbottom10333\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2085\shpz10\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2866\shptop9893\shpright3786\shpbottom10333\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2086\shpz11\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}

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{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop13146\shpright3826\shpbottom13573\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2087\shpz12\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop13146\shpright3826\shpbottom13573\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2088\shpz13\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\margtsxn666\margbsxn373\cols2\colno1\colw4106\colsr-0\colno2\colw6986\pard\li2386\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2386\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2386\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2386\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2386\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2386\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2386\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2386\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2386\ri0\sl-426\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 0}\par\pard\li2613\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2613\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2613\ri0\sl-280\slmult0 \*\tx3000\fs24\cf0\f0\charscalex100 {0}\tab \fs24\cf0\f0\charscalex100 {1}\par\column\pard\li373\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li0\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li813\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\li346\ri0\sl-440\slmult0 \*\tx3440\fs24\cf0\f2\charscalex100 {Trabajamos en el intervalo de}\fs24\cf0\f2\charscalex100 { }\tab \fs24\cf0\f0\charscalex100 {0,1}\par\pard\li1280\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1280\ri0\sl-360\slmult0 \fs24\cf0\f0\charscalex100 { \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs20\cf0\f0\charsca

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lex100 {, \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {= 0 , 1}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw2813\colsr-0\colno2\colw8280\pard\li2120\ri0\sl-240\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-373\slmult0 \*\tx373\fs24\cf0\f0\charscalex100 {2}\tab \fs24\cf0\f0\charscalex100 {= 0 5}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-306\slmult0 \*\tx8186\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs22\cf0\f0\charscalex100 {) \uc1\u8727X \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(0) \uc1\u8727X \uc1\u55349X\uc1\u56403X(0 5) = ( 3) \uc1\u8727X ( 0 8513) = 2 5539}\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-320\slmult0 \*\tx4013\*\tx4586\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(0) = \uc1\u55349X\uc1\u56402X}{\super \fs18\up3\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {3(0)}\tab \fs24\cf0\f0\charscalex100 {4 =}\tab \fs24\cf0\f0\charscalex100 {3}\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-346\slmult0 \*\tx4293\*\tx4880\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(0) = \uc1\u55349X\uc1\u56402X}{\super \fs18\up3\cf0\f0\charscalex100 {0 5}}\fs24\cf0\f0\charscalex100 {3(0 5)}\tab \fs24\cf0\f0\charscalex100 {4 =}\tab \fs24\cf0\f0\charscalex100 {0 8513}\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-293\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\par\pard\li2120\ri0\sl-346\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs18\cf0\f0\charscalex100 { \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 { = 0 5 , 1}\par\pard\li2386\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2386\ri0\sl-373\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 1}\par\pard\li2613\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2613\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2613\ri0\sl-226\slmult0 \*\tx3160\fs24\cf0\f0\charscalex100 {0 5}\tab \fs24\cf0\f0\charscalex100 {1}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw2893\colsr-0\colno2\colw453\colsr-0\colno3\colw7746\pard\li2120\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\column\pard\li0\ri0\sl-160\slmult0 \fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {75}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-306\slmult0 \*\tx8533\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(0 5) \uc1\u8727X \uc1\u55349X\uc1\u56403X(0 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {) = ( 0 8513) \uc1\u8727X (0 }\fs24\cf0\f0\charscalex100 {367}\fs24\cf0\f0\charscalex100 {) = 0 }\fs24\cf0\f0\charscalex100 {312}\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-320\slmult0 \*\tx3826\*\tx4800\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(0 }\fs22\cf0\f0\charscalex100 {75}\fs22\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56402X}\fs18\cf0\f0\charscalex100 {0 }\fs18\cf0\f0\charscalex100 {75}\tab \fs24\cf0\f0\charscalex100 {3(0 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {)}\tab \fs24\cf0\f0\charscalex100 {4 = 0 }\fs24\cf0\f0\charscalex100 {367}\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-293\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\par\pard\li2120\ri

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0\sl-346\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 { = 0 5 , 0 }\fs24\cf0\f0\charscalex100 {75}\par\pard\li2413\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2413\ri0\sl-280\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 2}\par\pard\li2613\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2613\ri0\sl-253\slmult0 \*\tx3173\fs24\cf0\f0\charscalex100 {0 5}\tab \fs24\cf0\f0\charscalex100 {0 }\fs24\cf0\f0\charscalex100 {75}\par\pard\li2120\ri0\sl-253\slmult0 \*\tx3640\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {=}\tab \fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {625}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li3040\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\pard\li2120\ri0\sl-426\slmult0 \*\tx9200\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(0 5) \uc1\u8727X \uc1\u55349X\uc1\u56403X(0 }\fs24\cf0\f0\charscalex100 {625}\fs24\cf0\f0\charscalex100 {) = ( 0 8513) \uc1\u8727X ( 0 257) = 0 }\fs24\cf0\f0\charscalex100 {2187841}\fs24\cf0\f0\charscalex100 { }\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-320\slmult0 \*\tx4040\*\tx5133\*\tx5720\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(0 }\fs22\cf0\f0\charscalex100 {625}\fs22\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56402X}\fs18\cf0\f0\charscalex100 {0 625}\tab \fs24\cf0\f0\charscalex100 {3(0 }\fs24\cf0\f0\charscalex100 {625}\fs24\cf0\f0\charscalex100 {)}\tab \fs24\cf0\f0\charscalex100 {4 =}\tab \fs24\cf0\f0\charscalex100 {0 257}\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-293\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {2}}\par\pard\li2120\ri0\sl-346\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 { = 0 }\fs24\cf0\f0\charscalex100 {625}\fs24\cf0\f0\charscalex100 { , 0 }\fs24\cf0\f0\charscalex100 {75}\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 3}\par\pard\li2613\ri0\sl-426\slmult0 \*\tx3413\fs24\cf0\f0\charscalex100 {0 }\fs24\cf0\f0\charscalex100 {625}\tab \fs24\cf0\f0\charscalex100 {0 }\fs24\cf0\f0\charscalex100 {75}\par\pard\li2120\ri0\sl-253\slmult0 \*\tx3880\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {=}\tab \fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {6875}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li3160\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\pard\li2120\ri0\sl-426\slmult0 \*\tx9520\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(0 }\fs24\cf0\f0\charscalex100 {625}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X \uc1\u55349X\uc1\u56403X(0 }\fs24\cf0\f0\charscalex100 {6875}\fs24\cf0\f0\charscalex100 {) = ( 0 257) \uc1\u8727X (0 }\fs24\cf0\f0\charscalex100 {05123}\fs24\cf0\f0\charscalex100 {) = 0 013166}\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-320\slmult0 \*\tx4253\*\tx5480\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(0 }\fs22\cf0\f0\charscalex100 {6875}\fs22\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56402X}\fs18\cf0\f0\charscalex100 {0 6875}\tab \fs24\cf0\f0\charscalex100 {3(0 }\fs24\cf0\f0\ch

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arscalex100 {6875}\fs24\cf0\f0\charscalex100 {)}\tab \fs24\cf0\f0\charscalex100 {4 = 0 }\fs24\cf0\f0\charscalex100 {0513}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2103\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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}}}}{\shp{\*\shpinst\shpleft3280\shptop4000\shpright4720\shpbottom4013\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2091\shpz2\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1440}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1453,13);(1453,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3280\shptop7200\shpright4973\shpbottom7213\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2092\shpz3\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1693}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1693,13);(1693,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3306\shptop10373\shpright5173\shpbottom10386\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2093\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1867}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1880,13);(1880,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}

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{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3053\shptop13573\shpright5240\shpbottom13586\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2094\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 2187}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(2173,13);(2173,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2733\shptop3186\shpright3653\shpbottom3626\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2095\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2733\shptop3186\shpright3653\shpbottom3626\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2096\shpz7\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}

Page 161: Método de Bisección

{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2840\shptop6160\shpright3760\shpbottom6600\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2097\shpz8\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2840\shptop6160\shpright3760\shpbottom6600\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2098\shpz9\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2866\shptop9506\shpright3786\shpbottom9946\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2099\shpz10\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}

Page 162: Método de Bisección

{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2866\shptop9506\shpright3786\shpbottom9946\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2100\shpz11\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop12760\shpright3826\shpbottom13200\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2101\shpz12\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop12760\shpright3826\shpbottom13200\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2102\shpz13\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}

Page 163: Método de Bisección

{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\margtsxn666\margbsxn400\cols2\colno1\colw4106\colsr-0\colno2\colw6986\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-440\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {3}}\par\column\pard\li373\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li0\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li813\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li2120\ri0\sl-346\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 { = 0 }\fs24\cf0\f0\charscalex100 {625}\fs24\cf0\f0\charscalex100 { , 0 6875}\par\pard\li2280\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2280\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2280\ri0\sl-386\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 4}\par\pard\li2613\ri0\sl-426\slmult0 \*\tx3400\fs24\cf0\f0\charscalex100 {0 }\fs24\cf0\f0\charscalex100 {625}\tab \fs24\cf0\f0\charscalex100 {0 6875}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw3266\colsr-0\colno2\colw853\colsr-0\colno3\colw6973\pard\li2106\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\column\pard\li0\ri0\sl-160\slmult0 \fs24\cf0\f0\charscalex100 {= 0 65625}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li2106\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2106\ri0\sl-306\slmult0 \*\tx9386\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(0 }\fs24\cf0\f0\charscalex100 {625}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X \uc1\u55349X\uc1\u56403X(0 }\fs24\cf0\f0\charscalex100 {65625}\fs24\cf0\f0\charscalex100 {) = ( 0 }\fs24\cf0\f0\charscalex100 {257}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X ( 0 1369) = 0 }\fs24\cf0\f0\charscalex100 {03518}\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-320\slmult0 \*\tx4466\*\tx5813\*\tx6386\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(0 }\fs22\cf0\f0\charscalex100 {65625}\fs22\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56402X}\fs18\cf0\f0\charscalex100 {0 65625}\tab \fs24\cf0\f0\charscalex100 {3(0 }\fs24\cf0\f0\charscalex100 {65625}\fs24\cf0\f0\charscalex100 {)}\tab \fs24\cf0\f0\charscalex100 {4 =}\tab \fs24\cf0\f0\charscalex100 {0 1369}\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-293\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {5}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {4}}\par\pard\li2120\ri0\sl-360\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {5}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {4}}\fs22\cf0\f0\charscalex100 { \uc

Page 164: Método de Bisección

1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {5}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {5}}\fs24\cf0\f0\charscalex100 { = 0 }\fs24\cf0\f0\charscalex100 {65625}\fs24\cf0\f0\charscalex100 { , 0 }\fs24\cf0\f0\charscalex100 {6875}\par\pard\li2386\ri0\sl-306\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 5}\par\pard\li2613\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2613\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2613\ri0\sl-226\slmult0 \*\tx3653\fs24\cf0\f0\charscalex100 {0 65625}\tab \fs24\cf0\f0\charscalex100 {0 }\fs24\cf0\f0\charscalex100 {6875}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw3400\colsr-0\colno2\colw973\colsr-0\colno3\colw6720\pard\li2120\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {5}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\column\pard\li0\ri0\sl-160\slmult0 \fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {67188}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-280\slmult0 \fs16\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs14\cf0\f0\charscalex100 {5}}\fs20\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs14\cf0\f0\charscalex100 {5}}\fs20\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(0 }\fs20\cf0\f0\charscalex100 {65625}\fs20\cf0\f0\charscalex100 {) \uc1\u8727X \uc1\u55349X\uc1\u56403X(0 }\fs20\cf0\f0\charscalex100 {67188}\fs20\cf0\f0\charscalex100 {) = ( 0 }\fs20\cf0\f0\charscalex100 {1369}\fs20\cf0\f0\charscalex100 {) \uc1\u8727X ( 0 }\fs20\cf0\f0\charscalex100 {02645}\fs20\cf0\f0\charscalex100 {) = 3 }\fs20\cf0\f0\charscalex100 {62 }\fs20\cf0\f0\charscalex100 {\uc1\u8727X }\fs20\cf0\f0\charscalex100 {10}{\super \fs14\up3\cf0\f0\charscalex100 {3}}\fs20\cf0\f0\charscalex100 {0}\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-320\slmult0 \*\tx4466\*\tx5813\*\tx6386\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(0 }\fs22\cf0\f0\charscalex100 {67188}\fs22\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56402X}\fs18\cf0\f0\charscalex100 {0 67188}\tab \fs24\cf0\f0\charscalex100 {3(0 }\fs24\cf0\f0\charscalex100 {67188}\fs24\cf0\f0\charscalex100 {)}\tab \fs24\cf0\f0\charscalex100 {4 =}\tab \fs24\cf0\f0\charscalex100 {0 02645}\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-293\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {6}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {5}}\par\pard\li2120\ri0\sl-346\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {6}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {5}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {6}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {6}}\fs24\cf0\f0\charscalex100 { = 0 }\fs24\cf0\f0\charscalex100 {67188}\fs24\cf0\f0\charscalex100 { , 0 }\fs24\cf0\f0\charscalex100 {6875}\par\pard\li2413\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2413\ri0\sl-280\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 6}\par\pard\li2640\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2640\ri0\sl-266\slmult0 \*\tx3773\fs16\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57294X }\fs16\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57300X\uc1\u55349X\uc1\u57301X\uc1\u55349X\uc1\u57295X\uc1\u55349X\uc1\u57302X\uc1\u55349X\uc1\u57302X}\tab \fs16\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57294X }\fs16\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57300X\uc1\u55349X\uc1\u57302X\uc1\u55349X\uc1\u57301X\uc1\u55349X\uc1\u57299X}\par\pard\li2120\ri0\sl-253\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56473X}\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57296X}{\super \fs24\up0\cf0\f0\charscalex100 {=}}\fs22\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u57294X }\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57300X\uc1\u55349X\uc1\u57301X\uc1\u55349X\uc1\u57303X\uc1\u55349X\uc1\u57300X}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li3506\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57296X}\par\pard\li1600\ri0\sl-426\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {6}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\c

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harscalex100 {6}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(0 671875) \uc1\u8727X \uc1\u55349X\uc1\u56403X(0 6796875) = ( 0 0264) \uc1\u8727X (0 }\fs24\cf0\f0\charscalex100 {0123}\fs24\cf0\f0\charscalex100 {) = 3 }\fs24\cf0\f0\charscalex100 {23 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {4}}\fs24\cf0\f0\charscalex100 {0}\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-320\slmult0 \*\tx4893\*\tx6480\*\tx7053\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(0 6796875) = \uc1\u55349X\uc1\u56402X}\fs18\cf0\f0\charscalex100 {0 6796875}\tab \fs24\cf0\f0\charscalex100 {3(0 6796875)}\tab \fs24\cf0\f0\charscalex100 {4 =}\tab \fs24\cf0\f0\charscalex100 {0 }\fs24\cf0\f0\charscalex100 {0123}\par\pard\li2213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2213\ri0\sl-293\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {7}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {6}}\par\pard\li2120\ri0\sl-346\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {7}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {6}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {7}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {7}}\fs24\cf0\f0\charscalex100 { = 0 }\fs24\cf0\f0\charscalex100 {671875}\fs24\cf0\f0\charscalex100 { , 0 6796875}\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-333\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 7}\par\pard\li2386\ri0\sl-426\slmult0 \*\tx3546\fs24\cf0\f0\charscalex100 {0 }\fs24\cf0\f0\charscalex100 {671875}\tab \fs24\cf0\f0\charscalex100 {0 6796875}\par\pard\li1893\ri0\sl-253\slmult0 \*\tx4626\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {=}\tab \fs24\cf0\f0\charscalex100 {= 0 67578125}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li3413\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\pard\li1893\ri0\sl-426\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {7}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {7}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X( 0 671875) \uc1\u8727X \uc1\u55349X\uc1\u56403X(0 67578125) = ( 0 0264) \uc1\u8727X ( 0 }\fs24\cf0\f0\charscalex100 {0071}\fs24\cf0\f0\charscalex100 {) = 1 }\fs24\cf0\f0\charscalex100 {87 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {4}}\par\pard\li3560\ri0\sl-253\slmult0 \fs24\cf0\f0\charscalex100 {0}\par\pard\li1893\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1893\ri0\sl-346\slmult0 \*\tx4880\*\tx6466\*\tx7040\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(0 67578125) = \uc1\u55349X\uc1\u56402X}\fs18\cf0\f0\charscalex100 {0 67578125}\tab \fs24\cf0\f0\charscalex100 {3(0 6757812)}\tab \fs24\cf0\f0\charscalex100 {4 =}\tab \fs24\cf0\f0\charscalex100 {0 007088}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2110\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\jpegblipFFD8FFE000104A46494600010100000100010000FFDB004300080606070605080707070909080A0C140D0C0B0B0C1912130F141D1A1F1E1D1A1C1C20242E2720222C231C1C2837292C30313434341F27393D38323C2E333432FFDB0043010909090C0B0C180D0D1832211C213232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232FFC0001108008C009003012200021101031101FFC4001F00000105010101010101000000000000000001

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{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2093\shptop12413\shpright3026\shpbottom12426\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2106\shpz3\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 933}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(933,13);(933,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft4000\shptop12413\shpright4200\shpbottom12426\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2107\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 200}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(200,13);(200,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2733\shptop2920\shpright3653\shpbottom3360\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2108\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}

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{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2733\shptop2920\shpright3653\shpbottom3360\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2109\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\margtsxn666\margbsxn666\cols2\colno1\colw4106\colsr-0\colno2\colw6986\pard\li1973\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1973\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1973\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1973\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1973\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1973\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1973\ri0\sl-440\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {8}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {7}}\par\column\pard\li373\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li0\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li813\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1893\ri0\sl-346\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {8}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {7}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {8}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {8}}\fs24\cf0\f0\charscalex100 { = 0 67578125 , 0 6796875}\par\pard\li2280\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2280\ri0\sl-333\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 8}\par\pard\li2613\ri0\sl-426\slmult0 \*\tx4066\fs24\cf0\f0\charscalex100 {0 67578125 }\tab \fs24\cf0\f0\charscalex100 {0 6796875}\par\pard\li2106\ri0\sl-253\slmult0 \*\tx5146\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {8}}\fs24\cf0\f0\charscalex100 {=}\tab \fs24\cf0\f0\charscalex100 {= 0 67734375}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li3786\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\pard\li1466\ri0\sl-426\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {8}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {8}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(0 67578125) \uc1\u8727X \uc1\u55349X\uc1\u56403X(}\fs24\cf0\f0\charscalex100 {00 }\fs24\cf0\f0\charscalex100 {67734375) = (0 }\fs24\cf0\f0\charscalex100 {0123}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X (0 }\fs24\cf0\f0\charscalex100 {000673}\fs24\cf0\f0\charscalex100 {) = 8 }\fs24\cf0\f0\charscalex100 {28 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {6}}\par\pard\li3133\ri0\sl-253\slmult0 \fs24\cf0\f0\charscalex100 {0}\par\pard\li2120\r

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i0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-346\slmult0 \*\tx5106\*\tx6826\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(0 67734375) = \uc1\u55349X\uc1\u56402X}\fs18\cf0\f0\charscalex100 {0 67734375}\tab \fs24\cf0\f0\charscalex100 {3(0 67734375)}\tab \fs24\cf0\f0\charscalex100 {4 = 0 }\fs24\cf0\f0\charscalex100 {000673}\par\pard\li1040\ri0\sl-426\slmult0 \fs24\cf0\f2\charscalex100 {Raiz: }\par\pard\li2106\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2106\ri0\sl-266\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {8}}\fs24\cf0\f0\charscalex100 {= 0 67734375}\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-293\slmult0 \fs24\cf2\f0\charscalex100\b {Ejercicio 02: }\b0 \par\pard\li1040\ri0\sl-466\slmult0 \*\tx5693\*\tx7133\fs24\cf0\f2\charscalex100 {Para la siguiente función no lineal: }\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X) = (\uc1\u55349X\uc1\u56421X}\tab \fs18\cf0\f0\charscalex100 {2) \uc1\u8727X }\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56416X\uc1\u55349X\uc1\u56402X}\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56411X}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {(\uc1\u55349X\uc1\u56421X)}\tab \fs24\cf0\f0\charscalex100 {1}\fs24\cf0\f2\charscalex100 {. Usando gráfica de funciones: }\par\pard\li1040\ri0\sl-293\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X) = 0 \uc1\u8658X \uc1\u55349X\uc1\u56403X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs22\cf0\f0\charscalex100 {(\uc1\u55349X\uc1\u56421X) = \uc1\u55349X\uc1\u56403X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {(\uc1\u55349X\uc1\u56421X)}\par\pard\li1400\ri0\sl-440\slmult0 \fs24\cf0\f2\charscalex100 {a)}\fs24\cf0\f2\charscalex100 { Grafique }\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f2\charscalex100 { }\fs24\cf0\f2\charscalex100 {y}{ }\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f2\charscalex100 { y responda lo siguiente: }\par\pard\li1760\ri0\sl-240\slmult0 \fs24\cf0\f2\charscalex100 {¿Cuántas soluciones positivas tiene? }\par\pard\li1760\ri0\sl-280\slmult0 \fs24\cf0\f2\charscalex100 {¿Cuántas soluciones negativas tiene? }\par\pard\li1760\ri0\sl-266\slmult0 \fs22\cf0\f2\charscalex100 {Escriba le intervalo de solución (negativa) más cercana al origen de coordenadas con }\par\pard\li1760\ri0\sl-280\slmult0 \fs24\cf0\f2\charscalex100 {una longitud máxima de 0.1 }\par\pard\li1400\ri0\sl-266\slmult0 \fs22\cf0\f2\charscalex100 {b)}\fs22\cf0\f2\charscalex100 { Con el intervalo propuesto en la parte (a) y usando el método de falsa posición, }\par\pard\li1760\ri0\sl-280\slmult0 \fs22\cf0\f2\charscalex100 {encuentre la solución con tres dígitos correctos. Trabajar con redondeo de 6 decimales. }\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-426\slmult0 \fs24\cf0\f0\charscalex100\b {Ejercicio 03: }\b0 \par\pard\li1040\ri0\sl-440\slmult0 \fs24\cf0\f2\charscalex100 {De Santis (1976) dedujo una relación para el factor de comprensibilidad de gases reales de la }\par\pard\li1040\ri0\sl-266\slmult0 \fs24\cf0\f2\charscalex100 {forma: }\par\pard\li1973\ri0\sl-400\slmult0 \*\tx2173\fs14\cf0\f0\charscalex100 {2}\tab \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56422X}{\super \fs14\up2\cf0\f0\charscalex100 {3}}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw2360\colsr-0\colno2\colw8733\pard\li1040\ri0\sl-306\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56423X =}{ }\fs18\cf0\f0\charscalex100 {1 \uc1\u55349X\uc1\u56422X \uc1\u55349X\uc1\u56422X}\par\column\pard\li0\ri0\sl-306\slmult0 \*\tx1013\fs24\cf0\f2\charscalex100 { con }\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56422X =}\tab \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{ }\fs24\cf0\f2\charscalex100 { donde b es la corrección de Van de Wal s }\fs24\cf0\f2\charscalex100 {y}{ }\fs14\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56393X\uc1\u773X}\fs24\cf0\f2\charscalex100 { }\fs24\cf0\f2\charscalex100 {es el volumen molar. }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw3333\colsr-0\colno2\colw7760\pard\li1626\ri0\sl-173\slmult0 \fs18\cf0\f0\charscalex100 {(1 \uc1\u55349X\uc1\u56422X)}\fs14\cf0\f0\charscalex100 {3}\par\column\pard\li0\ri0\sl-160\slmult0 \fs18\cf0\f0\charscalex100 {4\uc1\u55349X\uc1\u56393X}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li10

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40\ri0\sl-280\slmult0 \fs24\cf0\f2\charscalex100 {Si}{ }\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56423X = 0 }\fs24\cf0\f0\charscalex100 {892}\fs24\cf0\f2\charscalex100 {. Use le método de bisección para calcular el valor de y. }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2121\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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145020A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2803FFD9}}}}}{\shp{\*\shpinst\shpleft2920\shptop8960\shpright3586\shpbottom8973\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2112\shpz2\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 666}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(666,13);(666,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3920\shptop10106\shpright5400\shpbottom10120\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2113\shpz3\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1480}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1480,13);(1480,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft4213\shptop10853\shpright6560\shpbottom10866\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2114\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 2347}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(2346,13);(2346,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}

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{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2906\shptop13080\shpright3706\shpbottom13093\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2115\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 800}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(800,13);(800,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft4333\shptop14226\shpright7040\shpbottom14240\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2116\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 2707}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(2706,13);(2706,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2906\shptop7773\shpright3826\shpbottom8200\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2117\shpz7\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}

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{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2906\shptop7773\shpright3826\shpbottom8200\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2118\shpz8\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop12160\shpright3826\shpbottom12600\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2119\shpz9\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop12160\shpright3826\shpbottom12600\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2120\shpz10\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}

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{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1706\shptop1893\shpright10920\shpbottom6400\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2123\shpz11\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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B564BB4D4BCD044995D8177FC99E24C98BE5FF00C76BAEA60145145200A28A2800A28A2800A28A2800A28A2800A09C0268A4270A4804903A0EF4019563AF25E5F2DA49617B672491B4B01BA455F3914804801895C6E5E1829E7A75C6B5731A79FB778AD752B6B5D420536AF1DDADEC522EC7CA6C54DFF2F67CF964A9E09CF06BA7A7D10750A28A29005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400514514005145140051451400554D4353B3D2ADD67BE9D61899D630C413963D3A7E79EC01278156EB91D6E2BCD735F6B3B5B2B4BBB4B0819674B9B86854CB2A91C111BE4AC64FA7FAC14866F6A1ADD96993C305C1B869A656748EDED659D8AAE01388D5B006E1D7D6A31E22D2CD83DE79F208D2510B23412094487184F28AEFDC720818C9073D2B8B5D4FFE265A447ABEBABA45ED9DADCDA5CDC2CB10DD22B43C665520EE5C3F4079FAD4F0C966D6B797373A85D4B67FDA8925BEB90F979561128323B05D9B01DD1E7695E79EE69FF5F8DBF217F5F81D85B6BBA6DD5B5CDC2DC1892D799C5CC6D0344319CB2B8040C7392306A14F13694F0DD48D34D08B588CF2ADC5B4B1388C7560AEA0B0E3A806B94B8B89AFAD6F5A29EDF5CB5B69AD266BFB4846F96349B7B44C532B2322FCD8503AFDD04F37FC47ADE8DABE85AAAE9CD15FCA9A64EC6EEDF6C890295FB85C1E0B63EE8E7E5C9ED4C695DA46F5EF88B4CD3E778679272F1A0924F26D659444A7A1728A427009F9B1C73562F357D3F4FB38AF2E6EA34B7959563907CC18B74C633C77CF4039E95CBEA1776365AADEC89AF36877AC23678AF5636B7BCC28C3AAB7CCDC7C876329CA8C8E99AFB750D7DACED63D1AC841636216E2D2699ADD239A54C6D50236FBB193C1030241DC52256A761A86AB69A5AC46E5E4DD2B158E3861795DC8193844058E07538E29F61A8DAEA76DE7DA485D031460C85191875565600A91E84035C6A6A10BD9E9A35AD42E34BD4EC0CB6B2EA313C7E52B80A0ABB480AFEF176B8DCA338E083C1DDF0ADD4B776F78F2496974A27016FED62F2D2F308A0BE3241208DA4838F978C6301F7037E8A28A430A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2800A28A2803FFFD9}}}}}\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\margtsxn666\margbsxn413\pard\li4480\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li4106\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li4920\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4573\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li4

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573\ri0\sl-240\slmult0 \fs24\cf0\f2\charscalex100 {INTERVALOS [-0.5 , 0] y [1.5 , 2] }\par\pard\li2120\ri0\sl-293\slmult0 \fs24\cf0\f2\charscalex100 {Trabajando en }{ }\fs24\cf0\f0\charscalex100 {1 5 , 2}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols4\colno1\colw2253\colsr-0\colno2\colw733\colsr-0\colno3\colw1786\colsr-0\colno4\colw6320\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li200\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li200\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li200\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 0}\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-386\slmult0 \*\tx546\fs24\cf0\f0\charscalex100 {1 5}\tab \fs24\cf0\f0\charscalex100 {2}\par\pard\li266\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-160\slmult0 \fs24\cf0\f0\charscalex100 {= 1 }\fs24\cf0\f0\charscalex100 {75}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-306\slmult0 \fs24\cf0\f0\charscalex100 { \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs20\cf0\f0\charscalex100 {, \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {= 1 5 , 2}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-413\slmult0 \*\tx7546\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(1) \uc1\u8727X \uc1\u55349X\uc1\u56403X(1 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {) = (\uc1\u55349X\uc1\u56385X \uc1\u55349X\uc1\u56376X ) \uc1\u8727X (1 }\fs24\cf0\f0\charscalex100 {966}\fs24\cf0\f0\charscalex100 {) = 1 }\fs24\cf0\f0\charscalex100 {966}\fs24\cf0\f0\charscalex100 { }\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li3253\ri0\sl-413\slmult0 \*\tx3640\*\tx4026\fs24\cf0\f0\charscalex100 {1}\tab \fs24\cf0\f0\charscalex100 {1}\tab \fs24\cf0\f0\charscalex100 {1}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {1}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw3546\colsr-0\colno2\colw2400\colsr-0\colno3\colw5146\pard\li1746\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(1) = 0,}\fs24\cf0\f0\charscalex100 {892}\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-253\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(1 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {) = 0,}\fs24\cf0\f0\charscalex100 {892}\par\pard\li1840\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1840\ri0\sl-320\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\par\column\pard\li53\ri0\sl-386\slmult0 \*\tx533\fs24\cf0\f0\charscalex100 {(1}\tab \fs24\cf0\f0\charscalex100 {1)}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56385X \uc1\u55349X\uc1\u56376X}\par\pard\li0\ri0\sl-360\slmult0 \*\tx386\*\tx1053\fs24\cf0\f0\charscalex100 {1}\tab \fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {75}\tab \fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {75}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {75}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\li626\ri0\sl-320\slmult0 \*\tx1106\fs24\cf0\f0\charscalex100 {(1}\tab \fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {)}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \

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fs18\cf0\par\pard\li0\ri0\sl-266\slmult0 \fs24\cf0\f0\charscalex100 {= 1 }\fs24\cf0\f0\charscalex100 {966}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-346\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 { = 1 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 { , 2}\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 1}\par\pard\li2240\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2240\ri0\sl-306\slmult0 \*\tx2920\fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {75}\tab \fs24\cf0\f0\charscalex100 {2}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw2573\colsr-0\colno2\colw8520\pard\li1746\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-373\slmult0 \*\tx520\fs24\cf0\f0\charscalex100 {2}\tab \fs24\cf0\f0\charscalex100 {= 1 }\fs24\cf0\f0\charscalex100 {875}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-413\slmult0 \*\tx8253\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(1 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X \uc1\u55349X\uc1\u56403X(1 }\fs24\cf0\f0\charscalex100 {875}\fs24\cf0\f0\charscalex100 {) = (1 }\fs24\cf0\f0\charscalex100 {966}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X (0 }\fs24\cf0\f0\charscalex100 {5917}\fs24\cf0\f0\charscalex100 {) = 1 }\fs24\cf0\f0\charscalex100 {1633}\fs24\cf0\f0\charscalex100 { }\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li3666\ri0\sl-413\slmult0 \*\tx4053\*\tx4853\fs24\cf0\f0\charscalex100 {1}\tab \fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {875}\tab \fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {875}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {875}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\li1746\ri0\sl-226\slmult0 \*\tx6440\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(1 }\fs24\cf0\f0\charscalex100 {875}\fs24\cf0\f0\charscalex100 {) = 0,}\fs24\cf0\f0\charscalex100 {892}\tab \fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {5917}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw4426\colsr-0\colno2\colw6666\pard\li1840\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1840\ri0\sl-306\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\par\column\pard\li0\ri0\sl-253\slmult0 \*\tx466\fs24\cf0\f0\charscalex100 {(1}\tab \fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {875}\fs24\cf0\f0\charscalex100 {)}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-360\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 { = 1 }\fs24\cf0\f0\charscalex100 {875}\fs24\cf0\f0\charscalex100 { , 2}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2134\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}

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{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(920,13);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft4453\shptop4173\shpright7533\shpbottom4200\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2125\shpz3\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 3080}}{\sp{\sn geoBottom}{\sv 27}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(3080,13);(3080,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop6400\shpright3960\shpbottom6413\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2126\shpz4\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 1040}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(1040,13);(1040,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft4573\shptop7546\shpright8013\shpbottom7560\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2127\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 3440}}

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{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(3440,13);(3440,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft4453\shptop10320\shpright4880\shpbottom10333\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2128\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 427}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(440,13);(440,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3560\shptop10493\shpright5853\shpbottom10506\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2129\shpz7\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 2293}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(2293,13);(2293,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop2120\shpright3826\shpbottom2560\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2130\shpz8\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}

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{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop2120\shpright3826\shpbottom2560\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2131\shpz9\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop5493\shpright3826\shpbottom5920\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2132\shpz10\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop5493\shpright3826\shpbottom5920\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2133\shpz11\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}

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{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\margtsxn666\margbsxn666\cols3\colno1\colw2253\colsr-0\colno2\colw973\colsr-0\colno3\colw7866\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-400\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li213\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li213\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 2}\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-306\slmult0 \*\tx786\fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {875}\tab \fs24\cf0\f0\charscalex100 {2}\par\pard\li386\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\column\pard\li1253\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li880\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li1693\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-386\slmult0 \fs24\cf0\f0\charscalex100 {= 1 }\fs24\cf0\f0\charscalex100 {9375}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-413\slmult0 \*\tx8706\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(1 }\fs24\cf0\f0\charscalex100 {875}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X \uc1\u55349X\uc1\u56403X(1 }\fs24\cf0\f0\charscalex100 {9375}\fs24\cf0\f0\charscalex100 {) = (0 }\fs24\cf0\f0\charscalex100 {5917}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X (0 18593) = 0 1100}\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li3786\ri0\sl-413\slmult0 \*\tx4173\*\tx5093\fs24\cf0\f0\charscalex100 {1}\tab \fs24\cf0\f0\charscalex100 {1 9375}\tab \fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {9375}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {1 9375}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\li1746\ri0\sl-226\slmult0 \*\tx6920\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(1 9375) = 0,}\fs24\cf0\f0\charscalex100 {892}\tab \fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {18593}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw4666\colsr-0\colno2\colw6426\pard\li1840\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1840\ri0\sl-306\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18

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\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {2}}\par\column\pard\li0\ri0\sl-253\slmult0 \*\tx480\fs24\cf0\f0\charscalex100 {(1}\tab \fs24\cf0\f0\charscalex100 {1 9375)}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-360\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {2}}\fs22\cf0\f0\charscalex100 { \uc1\u8594X \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 { = 1 }\fs24\cf0\f0\charscalex100 {9375}\fs24\cf0\f0\charscalex100 { , 2}\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-426\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 3}\par\pard\li2253\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2253\ri0\sl-306\slmult0 \*\tx3160\fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {9375}\tab \fs24\cf0\f0\charscalex100 {2}\par\pard\li1746\ri0\sl-253\slmult0 \*\tx3346\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {=}\tab \fs24\cf0\f0\charscalex100 {= 1 }\fs24\cf0\f0\charscalex100 {96875}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li2706\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\pard\li1746\ri0\sl-320\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(1 }\fs24\cf0\f0\charscalex100 {9375}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X \uc1\u55349X\uc1\u56403X(1 96875) = (0 18593) \uc1\u8727X (0 }\fs24\cf0\f0\charscalex100 {02734}\fs24\cf0\f0\charscalex100 {) = 5 }\fs24\cf0\f0\charscalex100 {083 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X }\fs24\cf0\f0\charscalex100 {10}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\fs24\cf0\f0\charscalex100 {0}\par\pard\li3906\ri0\sl-413\slmult0 \*\tx4293\*\tx5333\fs24\cf0\f0\charscalex100 {1}\tab \fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {96875}\tab \fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {96875}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {1 96875}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\li1746\ri0\sl-226\slmult0 \*\tx7413\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(1 96875) = 0,}\fs24\cf0\f0\charscalex100 {892}\tab \fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {02734}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw4906\colsr-0\colno2\colw6186\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-346\slmult0 \fs24\cf0\f0\charscalex100\b {RAIZ:}\b0 \par\pard\li1746\ri0\sl-320\slmult0 \*\tx2040\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56473X}\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57297X}\tab \fs18\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u57295X }\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57303X\uc1\u55349X\uc1\u57300X\uc1\u55349X\uc1\u57302X\uc1\u55349X\uc1\u57301X\uc1\u55349X\uc1\u57299X}\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-400\slmult0 \fs24\cf0\f0\charscalex100\b {Ejercicio 04: }\b0 \par\column\pard\li0\ri0\sl-253\slmult0 \*\tx480\fs24\cf0\f0\charscalex100 {(1}\tab \fs24\cf0\f0\charscalex100 {1 }\fs24\cf0\f0\charscalex100 {96875}\fs24\cf0\f0\charscalex100 {)}{\super \fs18\up3\cf0\f0\charscalex100 {3}}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1040\ri0\sl-440\slmult0 \fs22\cf0\f2\charscalex100 {En estudios de recolección de energía solar al enfocar un campo de espejos planos en un }\par\pard\li1040\ri0\sl-266\slmult0 \fs22\cf0\f2\charscalex100 {colector central, un investigador obtuvo la siguiente ecuación par ale factor de concentración }\par\pard\li4293\ri0\sl-160\slmult0 \fs14\cf0\f0\charscalex100 {2}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols4\colno1\colw3520\colsr-0\colno2\colw866\colsr-0\colno3\colw800\colsr-0\colno4\colw5906\pard\li1040\ri0\sl-373\slmult0 \fs24\cf0\f2\charscalex100 {geométrica, }\fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56400X \uc1\u55349X\uc1\u56374X =}\par\column\pard\li0\ri0\sl-186\slmult0 \*\tx440\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57099X\uc1\u8727X(}\tab \fs14\cf

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0\f0\charscalex100 {\uc1\u8462X}\par\pard\li266\ri0\sl-240\slmult0 \fs14\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56374X\uc1\u55349X\uc1\u56412X\uc1\u55349X\uc1\u56416X(\uc1\u55349X\uc1\u56372X)}{\super \fs18\up2\cf0\f0\charscalex100 {)}}\par\column\pard\li0\ri0\sl-160\slmult0 \fs18\cf0\f0\charscalex100 {\uc1\u8727X\uc1\u55349X\uc1\u56377X}\par\column\pard\li0\ri0\sl-280\slmult0 \fs24\cf0\f2\charscalex100 { }\fs24\cf0\f2\charscalex100 {donde}\fs24\cf0\f2\charscalex100 { A es el ángulo del anil o del campo, F es la }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li2893\ri0\sl-186\slmult0 \fs18\cf0\f0\charscalex100 {0 5\uc1\u8727X\uc1\u55349X\uc1\u57099X\uc1\u8727X\uc1\u55349X\uc1\u56375X}\fs14\cf0\f0\charscalex100 {2}\fs18\cf0\f0\charscalex100 {(1 \uc1\u55349X\uc1\u56416X\uc1\u55349X\uc1\u56402X\uc1\u55349X\uc1\u56411X(\uc1\u55349X\uc1\u56372X) 0 5cos (\uc1\u55349X\uc1\u56372X)}\par\pard\li1040\ri0\sl-240\slmult0 \fs24\cf0\f2\charscalex100 {cobertura fraccionaria del campo con los espejos, D es el diámetro del colector y h es la altura }\par\pard\li1040\ri0\sl-240\slmult0 \fs24\cf0\f0\charscalex100 {del mismo. Use el método de bisección para hal ar \uc1\u8220XA\uc1\u8221X, si h=300, C=1200, }\fs24\cf0\f2\charscalex100 {F=0.8 y D=14. }\par\pard\li5186\ri0\sl-400\slmult0 \fs24\cf0\f2\charscalex100 {Solución: }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2148\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 3733}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(3733,13);(3733,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2906\shptop13373\shpright3706\shpbottom13386\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2141\shpz7\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 800}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(800,13);(800,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft4173\shptop14706\shpright8146\shpbottom14720\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2143\shpz9\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 3973}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(3973,13);(3973,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft1466\shptop1893\shpright10680\shpbottom6266\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2150\shpz10\shpbxpage\shpbypage

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\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2906\shptop7653\shpright3826\shpbottom8080\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2145\shpz12\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 920}}{\sp{\sn geoBottom}{\sv 427}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2920\shptop12453\shpright3826\shpbottom12893\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2146\shpz13\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 10790052}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}

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{\shp{\*\shpinst\shpleft2920\shptop12453\shpright3826\shpbottom12893\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2147\shpz14\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 906}}{\sp{\sn geoBottom}{\sv 440}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,440);(920,440);(920,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 0}}{\sp{\sn lineWidth}{\sv 12192}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineDashing}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 7895160}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\margtsxn666\margbsxn453\pard\li4480\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li4106\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li4920\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li3146\ri0\sl-333\slmult0 \fs22\cf0\f2\charscalex100 {INTERVALOS [0 , 0.5] , [0.5 , 1] , [2 , 2.5] y [3.5 , 4] }\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2120\ri0\sl-293\slmult0 \fs24\cf0\f2\charscalex100 {Trabajando en }{ }\fs24\cf0\f0\charscalex100 {3 5 , 4}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols4\colno1\colw2253\colsr-0\colno2\colw733\colsr-0\colno3\colw1786\colsr-0\colno4\colw6320\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li200\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li200\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li200\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 0}\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-386\slmult0 \*\tx546\fs24\cf0\f0\charscalex100 {3 5}\tab \fs24\cf0\f0\charscalex100 {4}\par\pard\li266\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100 {2}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-160\slmult0 \fs24\cf0\f0\charscalex100 {= 3 }\fs24\cf0\f0\charscal

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ex100 {75}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-306\slmult0 \fs24\cf0\f0\charscalex100 { \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs20\cf0\f0\charscalex100 {, \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {= 3 5 , 4}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-413\slmult0 \*\tx9173\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(3 5) \uc1\u8727X \uc1\u55349X\uc1\u56403X(4) = ( }\fs24\cf0\f0\charscalex100 {93 }\fs24\cf0\f0\charscalex100 {0287) \uc1\u8727X ( }\fs24\cf0\f0\charscalex100 {112 }\fs24\cf0\f0\charscalex100 {21889) = }\fs24\cf0\f0\charscalex100 {10439 578}\fs24\cf0\f0\charscalex100 { }\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li5120\ri0\sl-306\slmult0 \fs18\cf0\f0\charscalex100 {2}\par\pard\li4120\ri0\sl-360\slmult0 \fs24\cf0\f0\charscalex100\ul {\uc1\u55349X\uc1\u57099X \uc1\u8727X (}\ul0 {\super \fs24\up4\cf0\f0\charscalex100 {300}}\fs24\cf0\f0\charscalex100 {\uc1\u8727X 0 8}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw3213\colsr-0\colno2\colw7880\pard\li1746\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(4) = }\fs24\cf0\f0\charscalex100 {1200}\par\column\pard\li1346\ri0\sl-226\slmult0 \fs16\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56400X\uc1\u55349X\uc1\u56412X\uc1\u55349X\uc1\u56416X4)}\par\pard\li0\ri0\sl-373\slmult0 \*\tx1653\*\tx2373\fs24\cf0\f0\charscalex100 {0 5 \uc1\u8727X \uc1\u55349X\uc1\u57099X \uc1\u8727X }\fs24\cf0\f0\charscalex100 {14}\fs18\cf0\f0\charscalex100 {2}\fs24\cf0\f0\charscalex100 {(1}\tab \fs16\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56416X\uc1\u55349X\uc1\u56402X\uc1\u55349X\uc1\u56411X4}\tab \fs20\cf0\f0\charscalex100 {0 5 \uc1\u8727X \uc1\u55349X\uc1\u56400X\uc1\u55349X\uc1\u56412X\uc1\u55349X\uc1\u56416X4)}{\super \fs24\up5\cf0\f0\charscalex100 {=}}\fs24\cf0\f0\charscalex100 {93 }\fs24\cf0\f0\charscalex100 {0287}\par\pard\li2346\ri0\sl-160\slmult0 \fs18\cf0\f0\charscalex100 {2}\par\pard\li1133\ri0\sl-360\slmult0 \fs24\cf0\f0\charscalex100\ul {\uc1\u55349X\uc1\u57099X \uc1\u8727X (}\ul0 {\super \fs24\up4\cf0\f0\charscalex100\ul {300}\ul0 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X 0 8}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw3386\colsr-0\colno2\colw7706\pard\li1746\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(3 5) = }\fs24\cf0\f0\charscalex100 {1200}\par\pard\li1840\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1840\ri0\sl-306\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {0}}\par\column\pard\li1400\ri0\sl-333\slmult0 \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56400X\uc1\u55349X\uc1\u56412X\uc1\u55349X\uc1\u56416X 3 5}{\super \fs24\up3\cf0\f0\charscalex100 {)}}\par\pard\li0\ri0\sl-373\slmult0 \*\tx1640\*\tx2533\fs24\cf0\f0\charscalex100 {0 5 \uc1\u8727X \uc1\u55349X\uc1\u57099X \uc1\u8727X }\fs24\cf0\f0\charscalex100 {14}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {(1}\tab \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56416X\uc1\u55349X\uc1\u56402X\uc1\u55349X\uc1\u56411X3 5}\tab \fs20\cf0\f0\charscalex100 {0 5 \uc1\u8727X \uc1\u55349X\uc1\u56400X\uc1\u55349X\uc1\u56412X\uc1\u55349X\uc1\u56416X3 5)}{\super \fs24\up5\cf0\f0\charscalex100 {=}}\fs24\cf0\f0\charscalex100 {112 }\fs24\cf0\f0\charscalex100 {21889}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-346\slmult0 \fs22\cf0\f0\charscalex100 {\{}\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {0}}\fs18\cf0\f0\charscalex100 { \uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs20\cf0\f0\charscalex100 { , \uc1\u55349X\uc1\u56399X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 { = 3 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 { , 4}\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2466\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56406X = 1}\par\pard\li2240\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li2240\ri0\sl-306\slmult0 \*\tx2920\fs24\cf0\f0\charscalex100 {3 }\fs24\cf0\f0\

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charscalex100 {75}\tab \fs24\cf0\f0\charscalex100 {4}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw2573\colsr-0\colno2\colw8520\pard\li1746\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {=}\par\column\pard\li0\ri0\sl-373\slmult0 \*\tx520\fs24\cf0\f0\charscalex100 {2}\tab \fs24\cf0\f0\charscalex100 {= 3 }\fs24\cf0\f0\charscalex100 {875}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1746\ri0\sl-413\slmult0 \*\tx8920\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56398X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs22\cf0\f0\charscalex100 {) \uc1\u55349X\uc1\u56403X(\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {) = \uc1\u55349X\uc1\u56403X(3 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X \uc1\u55349X\uc1\u56403X(3 }\fs24\cf0\f0\charscalex100 {875}\fs24\cf0\f0\charscalex100 {) = ( }\fs24\cf0\f0\charscalex100 {74 56}\fs24\cf0\f0\charscalex100 {) \uc1\u8727X ( }\fs24\cf0\f0\charscalex100 {65 }\fs24\cf0\f0\charscalex100 {58}\fs24\cf0\f0\charscalex100 {) = }\fs24\cf0\f0\charscalex100 {4889 64}\fs24\cf0\f0\charscalex100 { }\tab \fs24\cf0\f0\charscalex100 {0}\par\pard\li5840\ri0\sl-320\slmult0 \fs18\cf0\f0\charscalex100 {2}\par\pard\li4546\ri0\sl-346\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57099X \uc1\u8727X (}{\super \fs24\up4\cf0\f0\charscalex100\ul {300}\ul0 }\fs24\cf0\f0\charscalex100 {\uc1\u8727X 0 8}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw3506\colsr-0\colno2\colw7586\pard\li1746\ri0\sl-226\slmult0 \fs24\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56403X(4 }\fs24\cf0\f0\charscalex100 {75}\fs24\cf0\f0\charscalex100 {) = }\fs24\cf0\f0\charscalex100 {1200}\par\column\pard\li1493\ri0\sl-346\slmult0 \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56400X\uc1\u55349X\uc1\u56412X\uc1\u55349X\uc1\u56416X4 }\fs18\cf0\f0\charscalex100 {75}{\super \fs24\up4\cf0\f0\charscalex100 {)}}\par\pard\li0\ri0\sl-373\slmult0 \*\tx1653\*\tx2653\fs24\cf0\f0\charscalex100 {0 5 \uc1\u8727X \uc1\u55349X\uc1\u57099X \uc1\u8727X }\fs24\cf0\f0\charscalex100 {14}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f0\charscalex100 {(1}\tab \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56416X\uc1\u55349X\uc1\u56402X\uc1\u55349X\uc1\u56411X4 }\fs18\cf0\f0\charscalex100 {75}\tab \fs22\cf0\f0\charscalex100 {0 5 \uc1\u8727X \uc1\u55349X\uc1\u56400X\uc1\u55349X\uc1\u56412X\uc1\u55349X\uc1\u56416X4 }\fs22\cf0\f0\charscalex100 {75}\fs22\cf0\f0\charscalex100 {)}{\super \fs24\up5\cf0\f0\charscalex100 {=}}\fs24\cf0\f0\charscalex100 {61 }\fs24\cf0\f0\charscalex100 {16}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2157\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn pib}{\sv {\pict\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{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 174}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(160,13);(160,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft3840\shptop5080\shpright4013\shpbottom5093\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2154\shpz5\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 173}}{\sp{\sn geoBottom}{\sv 13}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(160,13);(160,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft8280\shptop11666\shpright8573\shpbottom11680\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2155\shpz6\shpbxpage\shpbypage{\sp{\sn shapeType}{\sv 0}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn rotation}{\sv 0}}{\sp{\sn geoRight}{\sv 293}}{\sp{\sn geoBottom}{\sv 14}}{\sp{\sn shapePath}{\sv 4}}{\sp{\sn pVerticies}{\sv 8;5;(0,0);(0,13);(293,13);(293,0);(0,0);}}{\sp{\sn pSegmentInfo}{\sv 2;12;16384;45824;1;45824;1;45824;1;45824;1;45824;24577;32768}}{\sp{\sn fFillOK}{\sv 1}}{\sp{\sn fFilled}{\sv 1}}{\sp{\sn fillColor}{\sv 0}}{\sp{\sn fLine}{\sv 1}}{\sp{\sn lineColor}{\sv 0}}{\sp{\sn lineType}{\sv 0}}{\sp{\sn fArrowheadsOK}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}}{\shp{\*\shpinst\shpleft2400\shptop6466\shpright10213\shpbottom10426\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2159\shpz8\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}

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}}}}}\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\margtsxn666\margbsxn666\cols2\colno1\colw4106\colsr-0\colno2\colw6986\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-413\slmult0 \fs24\cf0\f2\charscalex100 {Raiz }\par\pard\li1746\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1746\ri0\sl-253\slmult0 \fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56421X}{\sub \fs18\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {= 4 }\fs24\cf0\f0\charscalex100 {75}\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-413\slmult0 \fs24\cf0\f0\charscalex100\b {Ejercicio 05: }\b0 \par\column\pard\li373\ri0\sl-266\slmult0 \fs18\cf0\f1\charscalex100 {UNIVERSIDAD PERUANA UNIÓN }\par\pard\li0\ri0\sl-386\slmult0 \fs16\cf0\f1\charscalex100 {Facultad de Ingeniería y Arquitectura }\par\pard\li813\ri0\sl-400\slmult0 \fs18\cf0\f1\charscalex100 {EAP. Ingeniería Civil }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1040\ri0\sl-440\slmult0 \fs24\cf0\f2\charscalex100 {Con base en el trabajo de Frank Kameneski realizado en 1995, las temperaturas en el interior }\par\pard\li1040\ri0\sl-280\slmult0 \fs24\cf0\f2\charscalex100 {de un material con fuentes de calor incrustado pueden determinarse por la ecuación }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols3\colno1\colw2493\colsr-0\colno2\colw680\colsr-0\colno3\colw7920\pard\li1320\ri0\sl-213\slmult0 \fs14\cf0\f0\charscalex100 {1}\par\column\pard\li0\ri0\sl-173\slmult0 \fs14\cf0\f0\charscalex100 {1}\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56383X}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1040\ri0\sl-293\slmult0 \*\tx1280\*\tx1533\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56402X}\tab \fs14\cf0\f0\charscalex100 {2\uc1\u55349X\uc1\u56391X}\tab \fs24\cf0\f0\charscalex100 {cosh}{\super \fs18\up3\cf0\f0\charscalex100 {1}}\fs24\cf0\f0\charscalex100 {(\uc1\u55349X\uc1\u56402X}\fs14\cf0\f0\charscalex100 {2\uc1\u55349X\uc1\u56391X}\fs24\cf0\f0\charscalex100\ul {) = \uc1\u8730X}\ul0 { }\fs14\cf0\f0\charscalex100\ul {\uc1\u55349X\uc1\u56400X}\ul0 \fs24\cf0\f2\charscalex100 {. Dado que }\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56383X}\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56400X}{ }\fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {088}\fs24\cf0\f2\charscalex100 { use el método de bisección para hal ar el valor }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw5186\colsr-0\colno2\colw5906\pard\li3213\ri0\sl-160\slmult0 \fs18\cf0\f0\charscalex100 {2}\par\pard\li1040\ri0\sl-240\slmult0 \fs24\cf0\f2\charscalex100 {de la temperatura T(ºC). }\par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-360\slmult0 \fs24\cf0\f2\charscalex100 {Solución: }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw2906\colsr-0\colno2\colw8186\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1

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040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li1040\ri0\sl-320\slmult0 \fs24\cf0\f0\charscalex100\b {Ejercicio 06: }\b0 \par\column\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-213\slmult0 \fs18\cf0\par\pard\li0\ri0\sl-320\slmult0 \fs24\cf0\f2\charscalex100 {NO TIENE RAÍZ, POR LO TANTO NO HAY SOLUCIÓN }\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1040\ri0\sl-506\slmult0 \*\tx8866\fs24\cf0\f2\charscalex100 {la velocidad}{ }\fs24\cf0\f0\charscalex100 {v}\fs22\cf0\f2\charscalex100 { de un paracaidista que se cae está dada por }{ }\fs24\cf0\f0\charscalex100 {v =}{ }\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56404X \uc1\u55349X\uc1\u56410X}{\sub \fs24\cf0\f0\charscalex100 {(1}}\fs24\cf0\f0\charscalex100\ul {\uc1\u55349X\uc1\u56402X^(}\ul0 \tab \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56400X\uc1\u55349X\uc1\u56417X}{\sub \fs24\cf0\f0\charscalex100 {)}}\fs24\cf0\f2\charscalex100 { donde }{ }\fs24\cf0\f0\charscalex100 {g =}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\cols2\colno1\colw8813\colsr-0\colno2\colw2280\pard\li7720\ri0\sl-160\slmult0 \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56400X}\par\column\pard\li0\ri0\sl-160\slmult0 \fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56410X}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\li1040\ri0\sl-266\slmult0 \fs24\cf0\f0\charscalex100 {9 }\fs24\cf0\f0\charscalex100 {8m}\fs24\cf0\f0\charscalex100 {/s}{\super \fs18\up3\cf0\f0\charscalex100 {2}}\fs24\cf0\f2\charscalex100 {. Para un paracaidista con coeficiente de arrastre de }\fs24\cf0\f0\charscalex100 {c = 15kg/s}\fs24\cf0\f2\charscalex100 {, calcule la masa m de }\par\pard\li1040\ri0\sl-266\slmult0 \fs24\cf0\f2\charscalex100 {modo que a velocidad}{ }\fs24\cf0\f0\charscalex100 {v = }\fs24\cf0\f0\charscalex100 {35m}\fs24\cf0\f0\charscalex100 {/s}\fs24\cf0\f2\charscalex100 { en}{ }\fs24\cf0\f0\charscalex100 {t = }\fs24\cf0\f0\charscalex100 {9s}\fs24\cf0\f0\charscalex100 {. Use el método de Bisección para determinar \uc1\u8220Xm\uc1\u8221X a }\par\pard\li1040\ri0\sl-306\slmult0 \*\tx2413\fs24\cf0\f2\charscalex100 {un nivel de }\fs22\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u57088X}\fs18\cf0\f0\charscalex100 {\uc1\u55349X\uc1\u56416X}\tab \fs24\cf0\f0\charscalex100 {= 0 }\fs24\cf0\f0\charscalex100 {1%}\par\pard\sect\sectd\sbknone\pgwsxn11893\pghsxn16826\marglsxn666\margrsxn133\pard\sect\sectd\sbkpage{\shp{\*\shpinst\shpleft386\shptop226\shpright1640\shpbottom1453\shpfhdr0\shpwr3\shpwrk0\shpfblwtxt1\shplid2160\shpz0\shpbxpage\shpbypage\absh16826\absw11893{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn pibFlags}{\sv 2}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fEditedWrap}{\sv 0}}{\sp{\sn fBehindDocument}{\sv 1}}

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