biseccinMTODO DE LA BISECCINf(a)*f(b)=-15.7598966014Tiene raizIteraccinPrimer valorsegundo valorValor intermedioReemplaza "x" en la funcin con "a"Reemplaza "x" en la funcin con "b"Reemplaza "x" en la funcin con "xi"Error iabxif(a)f(b)f(xi)|e|a-30-3-2-2.50000-9.761021.61457-3.668310.50000b-21-2.5-2-2.25000-3.668311.61457-0.613920.25000E0.000012-2.25-2-2.12500-0.613921.614570.630250.125003-2.25-2.125-2.18750-0.613920.630250.038080.062504-2.25-2.1875-2.21875-0.613920.03808-0.280840.031255-2.21875-2.18750-2.20313-0.280840.03808-0.119560.015636-2.20313-2.18750-2.19531-0.119560.03808-0.040280.007817-2.19531-2.18750-2.19141-0.040280.03808-0.000990.003918-2.19141-2.18750-2.18945-0.000990.038080.018570.001959-2.19141-2.18945-2.19043-0.000990.018570.008800.0009810-2.19141-2.19043-2.19092-0.000990.008800.003910.0004911-2.19141-2.19092-2.19116-0.000990.003910.001460.0002412-2.19141-2.19116-2.19128-0.000990.001460.000240.0001213-2.19141-2.19128-2.19135-0.000990.00024-0.000370.0000614-2.19135-2.19128-2.19131-0.000370.00024-0.000070.0000315-2.19131-2.19128-2.19130-0.000070.000240.000090.0000216-2.19131470-2.19129944-2.19130707-0.000070.000090.000010.00001

MTODO DE LA BISECCINf(a)*f(b)=-0.8322936731Tiene raizIteraccinPrimer valorsegundo valorAproximacin de la razReemplaza "x" en la funcin con "a"Reemplaza "x" en la funcin con "b"Reemplaza "x" en la funcin con "xi"Error Relativoiabxif(a)f(b)f(xi)|e|a-10-10-0.500000.83229-1.00000-0.790300.50000b01-1-0.5-0.750000.83229-0.79030-0.168610.25000E0.000012-1-0.75-0.875000.83229-0.168610.296310.125003-0.875-0.75-0.812500.29631-0.168610.052880.062504-0.8125-0.75-0.781250.05288-0.16861-0.060810.031255-0.81250-0.78125-0.796880.05288-0.06081-0.004680.015636-0.81250-0.79688-0.804690.05288-0.004680.023930.007817-0.80469-0.79688-0.800780.02393-0.004680.009580.003918-0.80078-0.79688-0.798830.00958-0.004680.002440.001959-0.79883-0.79688-0.797850.00244-0.00468-0.001120.0009810-0.79883-0.79785-0.798340.00244-0.001120.000660.0004911-0.79834-0.79785-0.798100.00066-0.00112-0.000230.0002412-0.79834-0.79810-0.798220.00066-0.000230.000210.0001213-0.79822-0.79810-0.798160.00021-0.00023-0.000010.0000614-0.79822-0.79816-0.798190.00021-0.000010.000100.0000315-0.79819-0.79816-0.798170.00010-0.000010.000040.0000216-0.798172-0.798157-0.7981640.00004-0.000010.000020.00001

MTODO DE LA BISECCINf(a)*f(b)=-0.8322936731Tiene raizIteraccinPrimer valorsegundo valorAproximacin de la razReemplaza "x" en la funcin con "a"Reemplaza "x" en la funcin con "b"Reemplaza "x" en la funcin con "xi"Error Relativoiabxif(a)f(b)f(xi)|e|a-10-10-0.500000.83229-1.00000-0.790300.50000b01-1-0.5-0.750000.83229-0.79030-0.168610.25000E0.000012-1-0.75-0.875000.83229-0.168610.296310.125003-0.875-0.75-0.812500.29631-0.168610.052880.062504-0.8125-0.75-0.781250.05288-0.16861-0.060810.031255-0.81250-0.78125-0.796880.05288-0.06081-0.004680.015636-0.81250-0.79688-0.804690.05288-0.004680.023930.007817-0.80469-0.79688-0.800780.02393-0.004680.009580.003918-0.80078-0.79688-0.798830.00958-0.004680.002440.001959-0.79883-0.79688-0.797850.00244-0.00468-0.001120.0009810-0.79883-0.79785-0.798340.00244-0.001120.000660.0004911-0.79834-0.79785-0.798100.00066-0.00112-0.000230.0002412-0.79834-0.79810-0.798220.00066-0.000230.000210.0001213-0.79822-0.79810-0.798160.00021-0.00023-0.000010.0000614-0.79822-0.79816-0.798190.00021-0.000010.000100.0000315-0.79819-0.79816-0.798170.00010-0.000010.000040.0000216-0.798172-0.798157-0.7981640.00004-0.000010.000020.00001MTODO DE LA BISECCINf(a)*f(b)=-5Tiene raizIteraccinPrimer valorsegundo valorAproximacin de la razReemplaza "x" en la funcin con "a"Reemplaza "x" en la funcin con "b"Reemplaza "x" en la funcin con "xi"Error Relativoiabxif(a)f(b)f(xi)|e|a-10121.50000-5.000001.00000-4.687500.50000b011.521.75000-4.687501.00000-2.808590.25000E0.0000121.7521.87500-2.808591.00000-1.187260.1250031.87521.93750-1.187261.00000-0.169910.0625041.937521.96875-0.169911.000000.395260.0312551.937501.968751.95313-0.169910.395260.107820.0156361.937501.953131.94531-0.169910.10782-0.032240.0078171.945311.953131.94922-0.032240.107820.037490.0039181.945311.949221.94727-0.032240.037490.002550.0019591.945311.947271.94629-0.032240.00255-0.014870.00098101.946291.947271.94678-0.014870.00255-0.006170.00049111.946781.947271.94702-0.006170.00255-0.001810.00024121.947021.947271.94714-0.001810.002550.000370.00012131.947021.947141.94708-0.001810.00037-0.000720.00006141.947081.947141.94711-0.000720.00037-0.000180.00003151.947111.947141.94713-0.000180.000370.000100.00002161.9471131.9471281.947121-0.000180.00010-0.000040.00001

Punto fijoE0.000001Xo3.5MTODO DEL PUNTO FIJO

xf(x)IteracinPunto xFuncin g(x)Funcin f(x)E absolutoCondicin5-2.8ixg(x)f(x)eC4-1.687503.52.4081632653-1.0918367347N/AN/A3-0.444444444412.40816326532.86218040790.45401714260.1586263191CONTINUA21.2522.86218040792.6103458489-0.2518345590.0964755529CONTINUA1632.61034584892.73379356910.12344772020.0451561967CONTINUA0ERROR:#DIV/0!42.73379356912.6690191809-0.06477438820.0242689856CONTINUA-1852.66901918092.7018860560.03286687520.0121644194CONTINUA-25.2562.7018860562.6849138436-0.01697221250.0063213248CONTINUA-35.555555555672.68491384362.69360033790.00868649430.0032248638CONTINUA-46.312582.69360033792.6891340179-0.004466320.0016608767CONTINUA-68.138888888992.68913401792.69142505210.00229103420.0008512346CONTINUA102.69142505212.6902484232-0.00117662890.0004373681CONTINUA112.69024842322.69085234060.00060391740.0002244335CONTINUA122.69085234062.6905422746-0.0003100660.0001152429CONTINUA132.69054227462.6907014440.00015916940.0000591554CONTINUA142.6907014442.690619729-0.0000817150.0000303703CONTINUA152.6906197292.69066167830.00004194930.0000155907CONTINUA162.69066167832.6906401427-0.00002153560.0000080039CONTINUA172.69064014272.69065119840.00001105570.0000041089CONTINUA182.69065119842.6906455227-0.00000567570.0000021094CONTINUA192.69064552272.69064843640.00000291370.0000010829CONTINUA202.69064843642.6906469406-0.00000149580.0000005559FINE0.00001Xo1MTODO DEL PUNTO FIJOcambio de signo

xf(x)IteracinPunto xFuncin g(x)Funcin f(x)E absolutoCondicin5547ixg(x)f(x)eC4205010.8164965809-5N/AN/A35110.81649658090.922958207-4.55555555560.1153482631CONTINUA2120.9229582070.870698651-4.82990397810.0600202561CONTINUA1-530.8706986510.8991217784-4.69960833950.0316120998CONTINUA0-340.89912177840.8843937939-4.77171706530.0166531974CONTINUA-1-550.88439379390.8922327144-4.73469479840.0087857353CONTINUA-2160.89223271440.8881174623-4.75449553080.00463368CONTINUA-35170.88811746230.8902938267-4.74412717430.0024445462CONTINUA-420580.89029382670.889147274-4.74961791830.0012894969CONTINUA-6118590.8891472740.8897525345-4.74672734260.0006802571CONTINUA100.88975253450.8894333629-4.7482538390.0003588482CONTINUA110.88943336290.8896017669-4.74744903210.0001893027CONTINUA120.88960176690.8895129387-4.74787371550.0000998616CONTINUA130.88951293870.8895598004-4.74764971980.0000526796CONTINUA140.88955980040.8895350804-4.74776789310.0000277898CONTINUA150.88953508040.889548121-4.74770555640.0000146598CONTINUA160.8895481210.8895412418-4.74773844140.0000077334FIN

Newto RE1.00E-05Xn3

IteracinValor de xFuncin evaluada en xDerivada de la funcin evaluada en xCociente de las funcion y la derivadaError AproximadoCondiciniXnf(Xn)f(Xn)f(Xn)/f(Xn)Xn+1e034150.26666666672.7333333333N/AN/A12.73333333330.478814814811.480.04170860762.69162472580.2666666667CONTINUAR22.69162472580.010713012610.96803209010.00097674882.69064797690.0417086076CONTINUAR32.69064797690.000005794710.95616769960.00000052892.6906474480.0009767488FINE1.00E-05Xn1MTODO DE NEWTON - RAPSHON

IteracinValor de xFuncin evaluada en xDerivada de la funcin evaluada en xCociente de las funcion y la derivadaError AproximadoCondiciniXnf(Xn)f(Xn)f(Xn)/f(Xn)Xn+1e010.459697691.84147098480.24963613220.7503638678N/AN/A10.75036386780.018923071.68190495290.01125097690.73911289090.2496361322CONTINUAR20.73911289090.000046461.67363254420.00002775750.73908513340.0112509769CONTINUAR30.73908513340.000000001.67361202930.00000000020.73908513320.0000277575FINE1.00E-05Xn1MTODO DE NEWTON - RAPSHON

IteracinValor de xFuncin evaluada en xDerivada de la funcin evaluada en xCociente de las funcion y la derivadaError AproximadoCondiciniXnf(Xn)f(Xn)f(Xn)/f(Xn)Xn+1e03.51.7755.750.30869565223.1913043478N/AN/A13.19130434780.3994019893.25761814740.12260552683.06869882110.3086956522CONTINUAR23.06869882110.05188045222.42635151040.02138208413.04731673690.1226055268CONTINUAR33.04731673690.00145603082.29061704220.000635653.04668108690.0213820841FIN

Interpolacin NewAPROXIMARPOLINOMIO INTERPOLADORf(x)0.45

los puntos dados para xFuncin evaluada en xiEcuacin de las diferencia divididas iXif(Xi)Xo=01-0.2911073085X1=0.60.8253356149-0.431086867-0.67908548880.0961090289X2=0.90.6216099683-0.3349778381-0.813076624X3=10.5403023059

APROXIMARPOLINOMIO INTERPOLADORf(x)0.45

los puntos dados para xFuncin evaluada en xiEcuacin de las diferencia divididas iXif(Xi)Xo=010.4415184401X1=0.61.2649110641-0.07022859590.3783127038X2=0.91.3784048752

APROXIMARf(x)0.45

los puntos dados para xFuncin evaluada en xiEcuacin de las diferencia divididas iXif(Xi)Xo=000.7833393821X1=0.60.4700036292-0.23389465810.5728341898X2=0.90.6418538862APROXIMARf(x)0.45

los puntos dados para xFuncin evaluada en xiEcuacin de las diferencia divididas iXif(Xi)Xo=001.1402280139X1=0.60.68413680830.86649261131.920071364X2=0.91.2601582176

Int lagrangelos puntos dados para xFuncin evaluada en xiLoiXif(Xi)x--0.5x--0.25x-0Xo=-0.75-0.0718125-0.09375X1=-0.5-0.02475L1X2=-0.250.33499375x--0.75x--0.25x-0X3=01.1010.03125L2x--0.75x--0.5x-0-0.03125L3x--0.75x--0.5x--0.250.09375

Graficaxf(x)45.93.94.8593.83.9323.250.6031253-0.12.75-0.4281252.5-0.4752.25-0.3343752-0.11.750.1343751.50.2751.250.2281251-0.10.75-0.8031250.5-1.9750.25-3.7093750-6.1-0.25-9.240625-0.5-13.225-0.75-18.146875-1-24.1-1.25-31.178125

xf(x)3.1250.198828133.10.1313.0750.067296883.050.0076253.025-0.048109383-0.12.975-0.148140632.95-0.1926252.925-0.233546882.9-0.2712.875-0.30507813

SecanteXi3.5Xi-12.5Ea0.00001

Iteracinvalores dadosValor presente menos valoir anteriorFuncion evaluada en el valor presenteFuncion evaluada en el valor anteriorError AproximadoCondicini Xi(Xi)-(Xi-1)f(Xi)f(Xi-1)eC02.513.511.775-0.4751CONTINUAR22.7111111111-0.7888888889-0.45151714681.7750.7888888889CONTINUAR32.87109050350.1599793924-0.3101081921-0.45151714680.1599793924CONTINUAR43.22192344940.3508329460.5025266849-0.31010819210.350832946FIN2.7111111111

Secante modificadoXi3.5d0.03Ea0.00001

i Xid*Xi*f(Xi)f(Xi)xi+d*xif(xi+d*xi)eC03.50.1863751.7753.6052.42952012513.21524939740.04624834390.47946870443.31170687930.84518310230.2847506026CONTINUAR23.08878912090.00944509110.10192873553.18145279450.36765529340.1264602765CONTINUAR33.05324472080.00138727760.01514539143.14484206250.2556604680.0355444001CONTINUAR43.04747677640.00016663910.00182270063.13890107970.23836257870.0057679444ERROR:#REF!