Formulas Matematicas basicas (by Carrascal)

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  • 7/23/2019 Formulas Matematicas basicas (by Carrascal)

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    Fduafuobdr mrobdr 'my Bd}}drbdh/Ro kn sqaear haa} bn}}abudfakua arud siokd yam( sqaear pa}hd ak Rb}ome:

    \Moknfon ea KayunkV \S}ni}aronkarV \Hnkiouqear( }adr pnhfakarV \SnuakbodrV \Hnid}oufnrV\Kfa}nr bnfshajnrV \Dhiqkdr bnkrudkuarV

    d= & m= 'd , m/ 'd & m/

    'd , m , b/= d= , m= , b= , = d m , = d b , = m b

    'd , m , b/2d2 , m2 , b2 , 2 'd= m , d= b , m= d , m= b , b= d , b= m/ , 0 d

    m b

    Faeod d}oufuobd aku}a d m 'd , m/ . =

    Faeod ianfu}obd aku}a d m d + m . =

    Uan}afd ea Souin}dr

    U}okiqhn }abun ea bduaunr d m agosnuakqrd b d

    = , m= 6 b=

    Abqdbok ea s}ofa} i}den: d w , m 6 3 'd 3/

    Rnhqbok 'qkd( }adh/ w 6 & m . d

    Abqdbok ea raiqken i}den: d w= , m w , b 6 3 'd 3/

    Rnhqbonkar w4 6 \& m , 'm= & 5 d b /4.= V . '=d/

    w= 6 \& m & 'm= & 5 d b /4.= V . '=d/

    pa}o`obdken tqa:

    w4 w= 6 b . d

    w4 , w= 6 & m . d

    Moknfon ea Kaunk

    'd , m/f 6 df , f df&4 m4 , \f 'f&4/ . =$V df&= m= , \f 'f&4/ 'f&=/ . 2$V df&2 m2 , +++

    '4, w/f 6 4 , f w , \f 'f&4/ . =$V w= , \f 'f&4/ 'f&=/ . 2$V w2 , +++

    'd , m/= d= , = d m , m=

    'd & m/= d= & = d m , m=

    'd , m/2 d2 , 2 d= m , 2 d m= , m2

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    'd & m/2 d2 & 2 d= m , 2 d m= & m2

    U}okiqhn ea Ud}udihod 'n ea Sdrbdh/]as}arakudk hnr bna`oboakuar eah Moknfon ea Kayunk

    34

    44 4

    =4 = 4

    24 2 2 4

    54 5 0 5 4

    14 1 43 43 1 4

    04 0 41 =3 41 0 4

    S}ni}aronkar

    D}oufuobdr dk 6 dk&4 , e

    U}fokn akrofndk 6 d4 , 'k & 4/ e

    Rqfd ea hnr k s}ofa}nr u}foknrR

    k6 'd

    4, d

    k/ k . =

    Okua}snhd} f u}foknr aku}a d me 6 'm & d/ . 'f , 4/

    Ianfu}obdr dk 6 dk&4 + }

    U}fokn akrofndk 6 d4 + }

    k&4

    Rqfd ea hnr k s}ofa}nr u}foknr Rk 6 d4 '}

    k

    & 4/ . '} & 4/

    Rqfd ea hnr u}foknrR 6 d4 . '4 & }/

    sd}d x } x 8 4

    S}neqbun ea hnr k s}ofa}nr u}foknrS 6 \d4 dkV

    k.=

    Okua}snhd} f u}foknr aku}a d m } 6 'm . d/'4.'f,4//

    Dhiqkdr qkbonkar knudmhar

    Pdhn} dmrnhqun

    x w x w ro w ; 3

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    &w ro w 83

    Eahud ea L}nkabla}

    o j6 4 ro o 6 j6 3 ro o j

    @qkbok ea Gadporoea

    G 'w/6 4 ro w 36 3 ro w 8 3

    Roikn ea w

    rik w6 4 ro w ; 36 3 ro w 6 36 &4 ro w 8 3

    @qkbonkar sd}ar a ofsd}ar

    @qkbok sd} ` '&w/ 6 ` 'w/

    @qkbok ofsd} ` '&w/ 6 & ` 'w/

    Hnkiouqear( }adr y pnhfakar

    Hnkiouqear

    Hnkiouqe ea qkd bo}bqk`a}akbod ea }deon ] = ]

    }adr

    Bqde}den ea hden d d=

    ]abukiqhn ea mdra m dhuq}d g m g

    U}okiqhn ea mdra m dhuq}d g m g . =

    U}okiqhn }abukiqhn ea bduaunr d md m .=

    U}okiqhn orrbahar ea hdenr oiqdhar d kiqhn earoiqdh 'd= rak / .=

    U}okiqhn atqohua}n ea hden d d=2 . 5

    ]nfmn ea eodinkdhar E e E e . =

    U}dsabon ea mdrar M m dhuq}d g 'M , m/ g . =

    B}bqhn ea }deon ] ]=

    Bn}nkd bo}bqhd} ea }deon okua}on} d awua}on} m 'm= & d=/

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    Ahosra ea rafoajar d m d m

    Rqsa}`oboa hdua}dh ea qk bohoke}n ea }deon ] dhuq}d g = ] g

    Rqsa}`oboa ea qkd ar`a}d ea }deon ] 5 ]=

    }ad hdua}dh eah bnkn } i 'enkea i ar hd iaka}du}oz/

    Pnhfakar

    Bqmn ea hden d d2

    N}unae}n ea hdenr d( m b d m b

    So}foea ea dhuq}d g }ad ea hd mdra M M g . 2

    Ar`a}d ea }deon ] 5 ]2 . 2

    Ahosrnoea ea rafoajar d( m b 5 d m b. 2

    Bohoke}n ea }deon ] dhuq}d g ]= g

    Bnkn }abun ea }deon ] dhuq}d g ]= g . 2

    Snuakbodrdm + db 6 dm,b 'dm/b 6 dmb

    Hnid}oufnr

    hni dm 6 b

    db 6 mhni dm 6 m hni d

    hni 'd + m/ 6 hni d , hni m hni 'd . m/ 6 hni d & hni m

    Kfa}nr bnfshajnr

    o= 6 &4

    @n}fd mokfobdz 6 d , o menkea d ar hd sd}ua }adh m hd sd}ua ofdiokd}od

    @n}fd snhd} }\V

    Sdrn ea `n}fd mokfobd d `n}fd snhd} } 6 \d= , m=V4.=

    6 d}b ui 'm.d/

    Sdrn ea `n}fd snhd} d `n}fd mokfobd d 6 } bnr

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    m 6 } rak

    @n}fd u}oinknfu}obd awsnkakbodh z 6 d , o m 6 }\V 6 } bnr , o } rak 6 } ao

    Bnfshajn bnkjqiden z* 6 d & o m

    @}fqhd ea Aqha} ao 6 bnr , o rak

    Nsa}dbonkar bnk kfa}nr bnfshajnr

    Radk z4 6 d4 , o m4 6 }4 \4V < z= 6 }= \=V 6 d= , o m=

    Rqfd z4 , z= 6 \d4 , d=V , o \m4 , m=V

    Eo`a}akbod z4 & z= 6 \d4 & d=V , o \m4 & m=V

    S}neqbun z 6 z4 + z= 6 }4 }= \4 ,=V

    Bnboakua z 6 z4 . z= 6 }4 . }= \4 =V

    Dhiqkdr bnkrudkuar 'bnk 5 eabofdhar/

    2+4540 a =+9472 hk = 3+0?24

    hk 2 4+3?70 =4.= 4+545= 24.= 4+92=4

    Siokd okobodh 'dkuar ak guus:..ar+ianbouoar+bnf.`orobdr/: guus:..yyy+bd}}drbdh+kau50+kau.`orobdr.

    Bn}}an ahabu}kobn: `orobdrCdgnn+arArud rabbok 'earea hd siokd okobodh/: @]FQHDR . FDUAFUOBDR . FDUAFUOBDR MROBDR

    Hnr dqun}ar: Fd}o Sdz Gn}uahdkn Ifaz a Odlo Bd}}drbdh Fnzn Bdru}ohhn ea Enk Jqdk+ Sdhakbod+ 'Arsdd/

    Ak hd }ae earea ah 41.32.4??7 & huofdr fneo`obdbonkar: 41.31.=332 & =4.43.=332 & ==.37.=335 &==.4=.=34=

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