RAIZ CUADRADASOLUCION DE RAIZ CUADRADA POR METODOS NUMERICOSHALLAR LA RAIZ CUADRADA DE15534BASE60ALTURA258.9ITBASEALTURAAPROX NUEVA BASEEREL APROX160258.9159.4502159.4597.4224128.436224.14723128.4362120.9472124.69173.0034124.6917124.5793124.63550.04515124.6355124.6354124.635506124.6355124.6354124.635507124.6355124.6354124.635508124.6355124.6354124.635509124.6355124.6354124.6355010124.6355124.6354124.6355011124.6355124.6354124.63550

SERIE DE MACLAURI (e^X)CALCULA LASERIA DE MAQCLAURIN MEDIANTE METODOS NUMERICOSe0.5ITAPROX e*EREL APROX0.51100.521.533.33330.531.6257.69230.541.64581.26380.551.64840.15770.561.64870.01820.571.648700.581.648700.591.648700.5101.648700.5111.648700.5121.648700.5131.648700.5141.648700.5151.648700.5161.648700.5171.648700.5181.648700.5191.648700.5201.648700.5211.648700.5221.648700.5231.648700.5241.648700.5251.648700.5261.648700.5271.648700.5281.648700.5291.648700.5301.648700.5311.64870

BISECCIONHALLA LA RAIZ DE F(X)=e^X-X MEDIANTE EL METODO DE LA BISECCION F(X)=e^X-XXF(X)XL=0-5153.4132XU=1-458.5982-323.0855-29.3891ITXLXUF(XL)F(XU)F(XR)XREREL APROX-13.71831011-0.63210.10650.50XL=0120.510.1065-0.6321-0.27760.7533.3333XU=1-0.632130.50.750.1065-0.2776-0.08970.625202-1.864740.50.6250.1065-0.08970.00730.562511.11113-2.950250.56250.6250.0073-0.0897-0.04160.59385.27114-3.981760.56250.59380.0073-0.0416-0.01730.57822.6985-4.993370.56250.57820.0073-0.0173-0.00510.57041.367580.56250.57040.0073-0.00510.0010.56650.688490.56650.57040.001-0.0051-0.00210.56850.3518100.56650.56850.001-0.0021-0.00060.56750.1762110.56650.56750.001-0.00060.00020.5670.0882120.5670.56750.0002-0.0006-0.00020.56730.0529130.5670.56730.0002-0.0002-0.00010.56720.0176140.5670.56720.0002-0.00010.00010.56710.0176150.56710.56720.0001-0.0001-0.00010.56720.0176160.56710.56720.0001-0.0001-0.00010.56720170.56710.56720.0001-0.0001-0.00010.56720

REGLA FALSAHALLA LA RAIZ DE F(X)=e^X-X MEDIANTE EL METODO DE LA BISECCION F(X)=e^X-XXF(X)XL=0-5153.4132XU=1-458.5982-323.0855-29.3891ITXLXUF(XL)F(XU)F(XR)XREREL APROX-13.71831011-0.6321-0.07080.61270XL=01200.61271-0.0708-0.00790.57227.0779XU=1-0.6321300.57221-0.0079-0.00090.56770.79272-1.8647400.56771-0.0009-0.00010.56720.08823-2.9502500.56721-0.00010.00010.56710.01764-3.981760.56710.56720.0001-0.0001-0.00010.56720.01765-4.993370.56710.56720.0001-0.0001-0.00010.5672080.56710.56720.0001-0.0001-0.00010.5672090.56710.56720.0001-0.0001-0.00010.56720100.56710.56720.0001-0.0001-0.00010.56720110.56710.56720.0001-0.0001-0.00010.56720120.56710.56720.0001-0.0001-0.00010.56720130.56710.56720.0001-0.0001-0.00010.56720140.56710.56720.0001-0.0001-0.00010.56720150.56710.56720.0001-0.0001-0.00010.56720160.56710.56720.0001-0.0001-0.00010.56720170.56710.56720.0001-0.0001-0.00010.56720

PUNTO FIJOF(X)=e^X-X

X1=0ITX1EREL APROX0001110020.3679171.81330.692246.850640.500538.301750.606217.436560.545411.147870.57965.900680.56013.481590.57121.9433100.56481.1331110.56850.6508120.56640.3708130.56760.2114140.56690.1235150.56730.0705160.56710.0353170.56720.0176180.56710.0176190.56720.0176

NEWTON RAPSONF(X)=e^X-XF`(X)=-e^X-1X1=0ITX1EREL APROX00010.510020.433715.287130.43620.573140.43610.022950.4361060.4361070.4361080.43610

jacobiX1+3X2-X3=6DESPEJE4X1-X2+X3=5X1=5+X2-X3/4X1+X2-7X3=-9X2=6-X1+X3/3REACOMODANDOX3=-9-X1-X2/-74X1-X2+X3=5X1+3X2-X3=6X1+X2-7X3=-9VECTOR SOLUCION INICIALITX1X2X3EREL APROX DE X1EREL APROX DE X2EREL APROX DE X3000000011.2521.285710010010021.42862.01191.7512.50170.591526.531431.31552.10711.77728.59754.51811.530541.33252.15391.77471.27582.17280.140951.34482.14741.78380.91460.30270.510161.34092.14631.78460.29080.05130.044871.34042.14791.78390.03730.07450.039281.3412.14781.7840.04470.00470.005691.3412.14771.784100.00470.0056101.34092.14771.78410.007500111.34092.14771.7841000121.34092.14771.7841000131.34092.14771.7841000141.34092.14771.7841000151.34092.14771.7841000161.34092.14771.7841000171.34092.14771.7841000181.34092.14771.7841000191.34092.14771.7841000201.34092.14771.7841000211.34092.14771.7841000221.34092.14771.7841000231.34092.14771.7841000241.34092.14771.7841000251.34092.14771.7841000261.34092.14771.7841000271.34092.14771.7841000281.34092.14771.7841000291.34092.14771.7841000301.34092.14771.7841000311.34092.14771.7841000321.34092.14771.7841000331.34092.14771.7841000341.34092.14771.7841000351.34092.14771.7841000361.34092.14771.7841000

GAUSS-SEIDELX1+3X2-X3=6DESPEJE4X1-X2+X3=5X1=5+X2-X3/4X1+X2-7X3=-9X2=6-X1+X3/3REACOMODANDOX3=-9-X1-X2/-74X1-X2+X3=5X1+3X2-X3=6X1+X2-7X3=-9VECTOR SOLUCION INICIALITX1X2X3EREL APROX DE X1EREL APROX DE X2EREL APROX DE X3000000011.251.58331.690510010010021.22322.15581.76842.19126.55634.405131.34692.14051.78399.18410.71480.868941.33922.14821.78390.5750.3584051.34112.14761.78410.14170.02790.011261.34092.14771.78410.01490.0047071.34092.14771.784100081.34092.14771.784100091.34092.14771.7841000101.34092.14771.7841000111.34092.14771.7841000121.34092.14771.7841000131.34092.14771.7841000141.34092.14771.7841000151.34092.14771.7841000161.34092.14771.7841000171.34092.14771.7841000181.34092.14771.7841000191.34092.14771.7841000201.34092.14771.7841000211.34092.14771.7841000221.34092.14771.7841000231.34092.14771.7841000241.34092.14771.7841000251.34092.14771.7841000261.34092.14771.7841000271.34092.14771.7841000281.34092.14771.7841000291.34092.14771.7841000301.34092.14771.7841000311.34092.14771.7841000321.34092.14771.7841000331.34092.14771.7841000341.34092.14771.7841000351.34092.14771.7841000361.34092.14771.7841000

NEWTON RAPSON NO LINEAL

Ye^X-2=0d/dxYe^X-2d/dyYe^X-2Ye^Xe^XdxYe^X-2X^2+Y-4=0JF(X)=-JF(X)2x1dyX^2+Y-4

d/dxX^2+Y-4d/dyX^2+Y-422.21677.3891dx0.2167X1=1.9268-0.0732VECTOR SOLUCION INICIAL1JF(X)=-sol0.341dy0.3X2=0.2926-0.0074

ITX1X2EREL APROX DE X1EREL APROX DE X2020.3001.92682.00946.8675dx0.0094X1=1.9257-0.001111.92680.29263.7992.5292JF(X)=-sol21.92570.29150.05710.37740.29263.85361dy0.0052X2=0.2915-0.001131.92570.29150041.92570.29150051.92570.2915001.92571.99976.8599dx-0.0003X1=1.9257061.92570.2915003JF(X)=-sol71.92570.2915000.29153.85141dy-0.0002X2=0.2915081.92570.29150091.92570.291500101.92570.2915001.92571.99976.8599dx-0.0003X1=1.925704JF(X)=-sol0.29153.85141dy-0.0002X2=0.29150

1.92571.99976.8599dx-0.0003X1=1.925705JF(X)=-sol0.29153.85141dy-0.0002X2=0.29150

1.92571.99976.8599dx-0.0003X1=1.925706JF(X)=-sol0.29153.85141dy-0.0002X2=0.29150

1.92571.99976.8599dx-0.0003X1=1.925707JF(X)=-sol0.29153.85141dy-0.0002X2=0.29150

1.92571.99976.8599dx-0.0003X1=1.92578JF(X)=-sol0.29153.85141dy-0.0002X2=0.2915

1.92571.99976.8599dx-0.0003X1=1.92579JF(X)=-sol0.29153.85141dy-0.0002X2=0.2915

1.92571.99976.8599dx-0.0003X1=1.925710JF(X)=-sol0.29153.85141dy-0.0002X2=0.2915

GAUSS-SEIDEL NO LINEALYe^X-2=0d/dxYe^X-2d/dyYe^X-2Ye^Xe^XdxYe^X-2X^2+Y-4=0JF(X)=-JF(X)2x1dyX^2+Y-4

d/dxX^2+Y-4d/dyX^2+Y-4x=(-y+4)^1/2VECTOR SOLUCION INICIALy=2/e^xITX1X2EREL APROX DE X1EREL APROX DE X2020.30011.92350.29223.97712.669421.92560.29160.10910.205831.92570.29150.00520.034341.92570.29150051.92570.29150061.92570.29150071.92570.29150081.92570.29150091.92570.291500101.92570.291500