Solucionario Métodos Numéricos para Ingenieros - Steven Capra & Raymond Canale 6ta Edicion

n

potencias de 5 n! 0.00000000000 1.00000000000 1.00000000000 1.00000000000 5.00000000000 1.00000000000 2.00000000000 25.00000000000 2.00000000000 3.00000000000 125.00000000000 6.00000000000 4.00000000000 625.00000000000 24.00000000000 5.00000000000 3125.00000000000 120.00000000000 6.00000000000 15625.00000000000 720.00000000000 7.00000000000 78125.00000000000 5040.00000000000 8.00000000000 390625.00000000000 40320.00000000000 9.00000000000 1953125.00000000000 362880.00000000000 10.00000000000 9765625.00000000000 3628800.00000000000 11.00000000000 48828125.00000000000 39916800.00000000000 12.00000000000 244140625.00000000000 479001600.00000000000 13.00000000000 1220703125.00000000000 6227020800.00000000000 14.00000000000 6103515625.00000000000 87178291200.00000000000 15.00000000000 30517578125.00000000000 1307674368000.00000000000 16.00000000000 152587890625.00000000000 20922789888000.00000000000 17.00000000000 762939453125.00000000000 355687428096000.00000000000 18.00000000000 3814697265625.00000000000 6402373705728000.00000000000 19.00000000000 19073486328125.00000000000 121645100408832000.00000000000 20.00000000000 95367431640625.00000000000 2432902008176640000.00000000000

positivos negativos parte b 1.00000000000 1.00000000000 5.00000000000 5.00000000000 12.50000000000 12.50000000000 20.83333333333 20.83333333333 26.04166666667 26.04166666667 26.04166666667 26.04166666667 21.70138888889 21.70138888889 15.50099206349 15.50099206349 9.68812003968 9.68812003968 5.38228891093 5.38228891093 2.69114445547 2.69114445547 1.22324747976 1.22324747976 0.50968644990 0.50968644990 0.19603324996 0.19603324996 0.07001187499 0.07001187499 0.02333729166 0.02333729166 0.00729290364 0.00729290364 0.00214497166 0.00214497166 0.00059582546 0.00059582546 0.00015679617 0.00015679617 0.00003919904 0.00003919904 74.20994630374 74.20320076364 0.00674554010 148.41314706738 0.00673794755

función=SENO(x)-POTENCIA(x;3)

termino

xl 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000

0.500000000000 0.750000000000 0.875000000000 0.875000000000 0.906250000000

f(xi) 0.354425538604 0.259763760023 0.097621627236 0.097621627236 0.042903434441

xu 1.000000000000 1.000000000000 1.000000000000 0.937500000000 0.937500000000

f(xu) -0.158529015192 -0.158529015192 -0.158529015192 -0.017893501114 -0.017893501114

xr 0.750000000000 0.875000000000 0.937500000000 0.906250000000 0.921875000000

f(xr) error 0.259763760023 33.333333333333 0.097621627236 14.285714285714 -0.017893501114 6.666666666667 0.042903434441 3.448275862069 0.013277423930 1.694915254237

función=LN(POTENCIA(x;4))-0,7

termino 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000

xl 0.500000000000 1.250000000000 1.250000000000 1.250000000000 1.250000000000 1.250000000000

f(xi) -3.472588722240 -1.004140380644 -1.004140380644 -1.004140380644 -1.004140380644 -1.004140380644

xu 2.000000000000 2.000000000000 1.625000000000 1.437500000000 1.343750000000 1.296875000000

1.000000000000 2 3 4

xl 0.500000000000 0.500000000000 0.500000000000 0.500000000000

f(xi) -3.472588722240 -3.472588722240 -3.472588722240 -3.472588722240

xu f(xu) 2.000000000000 2.072588722240 1.439353724117 0.756776840596 1.271271506352 0.260070342887 1.217533717388 0.087309078177

termino

f(xu) 2.072588722240 -7.090702573174 -3.292484284460 -1.979329793421 -1.452025566075 -1.218476757352

xr 1.250000000000 1.625000000000 1.437500000000 1.343750000000 1.296875000000 1.273437500000

f(xr) error 0.192574205257 60.000000000000 -3.292484284460 23.076923076923 -1.979329793421 13.043478260870 -1.452025566075 6.976744186047 -1.218476757352 3.614457831325 -1.108947416221 1.840490797546

xr f(xr) error 1.439353724117 0.756776840596 38.951250584869 1.271271506352 0.260070342887 13.221583031236 1.217533717388 0.087309078177 4.413659202739 1.199935682012 0.029071828137 1.466581554300

función=(0,8-0,3*x)/x

termino 1.000000000000 2 3 4

xl f(xi) 1.000000000000 0.500000000000 1.000000000000 0.500000000000 1.000000000000 0.500000000000 1.000000000000 0.500000000000

xu 3.000000000000 2.875000000000 2.796875000000 2.748046875000

f(xu) -0.033333333333 -0.021739130435 -0.013966480447 -0.008884150675

xr 2.875000000000 2.796875000000 2.748046875000 2.717529296875

f(xr) error -0.021739130435 4.347826086957 -0.013966480447 2.793296089385 -0.008884150675 1.776830135039 -0.005614949241 1.122989848172

f(xl)*f(xr) -0.01086957 -0.00698324 -0.00444208 -0.00280747

función=POTENCIA(x;2)-18

termino

xl 1.000000000000 2

4.000000000000 4.000000000000

f(xi) xu f(xu) xr f(xr) error f(xl)*f(xr) Columna1 -2.000000000000 5.000000000000 7.000000000000 4.222222222222 -0.172839506173 18.421052631579 0.345679012 17.82716049 -2.000000000000 4.222222222222 -0.172839506173 4.243243243243 0.005113221329 0.495399858457 -0.01022644 18.00511322

función=(POTENCIA(x;2)*ABS(COS(RAIZ(x))))-5

termino

xl 1.000000000000 2 3 4 5 6 7 8 9 10 11 12

0.000000000000 0.000000000000 10.512069769552 10.512069769552 10.512069769552 10.512069769552 10.512069769552 10.512069769552 10.512069769552 10.512069769552 10.512069769552 10.512069769552

f(xi) -5.000000000000 -5.000000000000 104.944474908348 104.944474908342 104.944474908342 104.944474908342 104.944474908342 104.944474908342 104.944474908342 104.944474908342 104.944474908342 104.944474908342

xu 5.000000000000 1.620029063547 1.620029063547 1.964510446921 2.304722270188 2.657997181747 2.986404530570 3.236179830842 3.414152585617 3.534685988258 3.613383593966 3.663499836786

f(xu) 10.431821911429 -4.229443345097 -4.229443345097 -4.350169302948 -4.720385465926 -4.579600033195 -3.602657262947 -2.631371543772 -1.812902234645 -1.197166923882 -0.767959273058 -0.483337050456

xr 1.620029063547 ############## 1.964510446921 2.304722270188 2.657997181747 2.986404530570 3.236179830842 3.414152585617 3.534685988258 3.613383593966 3.663499836786 3.694897316537

f(xr) error -4.229443345097 208.636438228583 ############### 84.588866901935 -4.350169302948 17.535227868815 -4.720385465926 14.761510645670 -4.579600033195 13.291019041877 -3.602657262947 10.996746939714 -2.631371543772 7.718214479040 -1.812902234645 5.212794399548 -1.197166923882 3.410017270034 -0.767959273058 2.177947723021 -0.483337050456 1.367988127531 -0.300522685056 0.849752430474

f(xl)*f(xr) 21.14721673 -524.722375 -456.526233 -495.378374 -480.603721 -378.078975 -276.147905 -190.254073 -125.636054 -80.5930827 -50.723553 -31.5381954

función=POTENCIA(x;4)-8*(POTENCIA(x;3))-35*(POTENCIA(x;2))+((450*x))+(1001)

termino

xl f(xi) 1.000000000000 4.500000000000 1998.312500000000 2 -275.964912280702 5965176523.557070000000 3 6.000094962437 2009.002849206780 4 -60.958824099520 15464177.847304500000 5 6.008699961755 2009.263809899660 6 -60.253098113270 14776846.234940200000 7 6.009008726932 2009.273276327450

xu 6.000000000000 6.000000000000 6.000000000000 6.000000000000 6.000000000000 6.000000000000 6.000000000000

f(xu) xr f(xr) 2009.000000000000 -275.964912280702 5965176523.557070000000 2009.000000000000 6.000094962437 2009.002849206780 2009.000000000000 -60.958824099520 15464177.847304500000 2009.000000000000 6.008699961755 2009.263809899660 2009.000000000000 -60.253098113270 14776846.234940200000 2009.000000000000 6.009008726932 2009.273276327450 2009.000000000000 -60.227955323944 14752788.111277900000

error 102.174189446917 0.001582682233 109.842709548013 0.144789418844 109.957994174375 0.149920350278 109.962151243103

f(xl)*f(xr) 1.19203E+13 1.19841E+13 31067577356 31071612898 29690582364 29690722248 29642382903

xu 5.000000000000 2.772176886266 2.768317965874 2.768317965874 2.768317965874 2.768317965874 2.768317965874 2.768317965874 2.768317965874 2.768317965874

f(xu) xr f(xr) error f(xl)*f(xr) 199.508497187474 2.772176886266 -44.529012147432 80.363671047513 3079.218803 1868.131865125510 -6.526546142558 611.631512956082 142.475404689005 1047724.782 1867.526251144290 -11.053224712421 17480.712024027200 125.045342313204 10691754.34 1867.526251144290 4.421541988088 1997.116178441050 37.390214243545 34911012.79 1867.526251144290 -21.056367524052 247271.360558886000 113.147177274102 493829634.6 1867.526251144290 2.949624120699 1894.215379362530 6.146754549262 468385214 1867.526251144290 -9.918271152408 10577.274472419600 127.911295460010 20035635.98 1867.526251144290 5.488550240556 2001.262855991660 49.561945421983 21167906.52 1867.526251144290 -35.217581167557 1829469.668369500000 107.860613574517 3661249693 1867.526251144290 2.807133669888 1873.542868224460 1.382752251203 3427589850

función=POTENCIA(x;3,5)-80

termino

xl 1.000000000000 2 3 4 5 6 7 8 8 8

f(xi) 2.000000000000 2.000000000000 -6.526546142558 -11.053224712421 4.421541988088 -21.056367524052 2.949624120699 -9.918271152408 5.488550240556 -35.217581167557

-69.150844693241 1713.000000000000 611.631512956082 17480.712024027200 1997.116178441050 247271.360558886000 1894.215379362530 10577.274472419600 2001.262855991660 1829469.668369500000

función=x*(-185)+1650

termino

xl 1.000000000000 2

f(xi) 6.000000000000 8.918918918919

RANDOM

208 ti 1.0000 2.3765 2.0374 2.0269 2.0269 2.0269

Respuesta

xu f(xu) xr f(xr) 540.000000000000 ############## -200.000000000000 8.918918918919 0.000000000000 8.918918918919 0.000000000000 #¡DIV/0!

2.0269

f(ti) -21.6224 9.1742 0.2661 0.0003 0.0000 0.0000

f'(ti) 15.7080 27.0531 25.3634 25.2996 25.2995 25.2995

ti+1 2.37653 2.03741 2.02692 2.02691 2.02691 2.02691

0.000000000000 #¡DIV/0!

error 12.121212121212 #¡DIV/0!

función=2*SENO(RAIZ(x))

termino

x 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000 8.000000000000

0.500000000000 1.299273878160 1.817147504138 1.950573917290 1.969742513338 1.972068881274 1.972344178273 1.972376655978 1.972380486082

f(xi) error 1.299273878160 1.817147504138 61.516966637701 1.950573917290 28.499261881505 1.969742513338 6.840366928399 1.972068881274 0.973152374938 1.972344178273 0.117965855937 1.972376655978 0.013957857952 1.972380486082 0.001646627931 1.972380937747 0.000194186881

función=(2*POTENCIA(x;3))-(11,7*POTENCIA(x;2))+(17,7*x)-5

FIXED-POINT termino

x 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000 8.000000000000

NEWTON RAPHSON termino x 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000 8.000000000000

SECANT termino

f(xi) 3.000000000000 3.180790960452 3.333959168376 3.442543246990 3.506329985676 3.538293713747 3.552707191404 3.558848119488 3.561396032139

SECANT D d termino

5.683836589698 4.594183677373 3.154181976054 1.819188123943 0.903365595318 0.405704069614 0.172553811730 0.071542525123

-3.200000000000 48.090074074073 12.956243556115 2.947603115433 0.397972739116 0.012372601908 0.000013390755 0.000000000016 0.000000000000

f'(xi) 1.500000000000 55.686666666666 27.172441948716 15.263444999662 11.216422106222 10.521523705785 10.498751771554 10.498727081247 10.498727081218

f(xi) 3.000000000000 5.133333333333 4.269750056533 3.792934480643 3.599819288398 3.564338032847 3.563162100325 3.563160824864 3.563160824862

x -1.000000000000 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000

error -3.200000000000 -2.711077280251 -1.921938191475 -1.129025274736 -0.565757986862 -0.255118554529 -0.108694427084 -0.045098053923 -0.018497943075

f(xi) 3 4 3.326530612 3.481272709 3.586275385 3.561340209 3.563122611 3.563160889 3.563160825

-3.2 6.6 -1.968853114 -0.795915322 0.24786946 -0.019082074 -0.000401181 6.74286E-07 -2.37534E-11

error 41.558441558441 20.225616613757 12.571152449993 5.364580185109 0.995451475807 0.033002498596 0.000035795792 0.000000000042

f'(xi) error 1.500000000000 20.100000000000 25.000000000000 6.254019158684 20.245398773006 8.953776663644 4.444986362434 10.949382807681 2.927903298829 10.463503624306 0.700162684706 10.497987351192 0.050023584169 10.498728324491 0.001074269754 10.498727081174 0.000001802551

0.01 x 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000 8.000000000000

f(xi) 3 4.892595221 3.155436514 3.281865786 3.772407458 3.50663994 3.553359114 3.563696958 3.563155948

(xi+d xi) -3.2 35.76320461 -2.807123165 -2.23188937 2.638931953 -0.562837945 -0.101977481 0.005631496 -5.1202E-05

3.03 4.941521173 3.186990879 3.314684444 3.810131533 3.54170634 3.588892705 3.599333927 3.598787507

f(xi+d xi) -3.149276 38.09730537 -2.686153978 -2.041783578 3.213369704 -0.220809358 0.276594791 0.392531057 0.386410383

f'(xi) 1.690800000000 #¡VALOR! 0.012778917328 0.011839551366 0.048257512419 0.029720110168 0.028241717575 0.030960380933 0.030523364271

error 38.682848991824 55.052880929013 3.852359599429 13.003411681761 7.578979374634 1.314788966913 0.290087632382 0.015183449447

función=(-(POTENCIA(x;2)))+1,8*x+2,5

fixed-point termino

x 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000 8.000000000000 9.000000000000 10.000000000000 11.000000000000 12.000000000000 13.000000000000 14.000000000000 15.000000000000

Newton Raphson termino

f(xi) 5.0000 12.5000 85.4167 4051.9483 9121268.0810 46220850781279.5000 1186870581636280000000000000.0000 782589876418694000000000000000000000000000000000000000.0000 340248285929460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.0000 64316053376630700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.0000 #¡NUM! #¡NUM! #¡NUM! #¡NUM! #¡NUM! #¡NUM!

x 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000

error -13.500000000000 -131.250000000000 -7139.756944444450 -16410989.038938100000 -83197514988020.600000000000 -2136367046945230000000000000.000000000000 -1408661777553650000000000000000000000000000000000000000.000000000000 -612446914673027000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.000000000000 -115768896077935000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.000000000000 #¡NUM! #¡NUM! #¡NUM! #¡NUM! #¡NUM! #¡NUM! #¡NUM!

f(xi) 5.0000 3.3537 2.8013 2.7211 2.7193 2.7193

-13.500000000000 -2.710440214158 -0.305064326411 -0.006435863573 -0.000003122353 -0.000000000001

60.000000000000 85.365853658537 97.891960600420 99.955576919059 99.999980265902 99.999999999996 100.000000000000 100.000000000000 100.000000000000 #¡NUM! #¡NUM! #¡NUM! #¡NUM! #¡NUM! #¡NUM!

f'(xi) error -8.200000000000 -4.907317073171 49.090909090909 -3.802664500800 19.716557581003 -3.642216832410 2.948204258133 -3.638682795932 0.064979639564 -3.638681079732 0.000031555442

función=(0,5*POTENCIA(x;3))-(4*POTENCIA(x;2))+(5,5*x)-1 Newton Raphson termino 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000 8.000000000000 9.000000000000 10.000000000000 11.000000000000 12.000000000000 13.000000000000 14.000000000000 15.000000000000 16.000000000000

x f(xi) 1.000000000000 1.000000000000 1.083333333333 0.899594907407 1.161675791080 0.775089582083 1.233446196745 0.636672059807 1.297206815151 0.495089877415 1.351653891123 0.360937801839 1.395713206644 0.243796594739 1.428832264980 0.150855463721 1.451440098495 0.085065826464 1.465227836654 0.044026058036 1.472754557856 0.021332844655 1.476516977512 0.009912928788 1.478293756783 0.004502364745 1.479107046900 0.002022016282 1.479473608533 0.000903316807 1.479637632476 0.000402581611 1.479710786298 0.000179225431

f'(xi) -12.000000000000 -11.482852763109 -10.799570866284 -9.985349510848 -9.093048039240 -8.192088269514 -7.361217588505 -6.672707653366 -6.169672319466 -5.849301023612 -5.669980121845 -5.579156031071 -5.535988511026 -5.516169997430 -5.507225310482 -5.503220409779 -5.501433755265

error 7.692307692308 6.743917567054 5.818689607585 4.915223822511 4.028181794921 3.156759949737 2.317910866653 1.557613954468 0.940996192780 0.511064193468 0.254817229495 0.120191217971 0.054985210089 0.024776490153 0.011085412991 0.004943791956

función=(0,5*POTENCIA(B5;3))-(4*POTENCIA(B5;2))+(6*B5)-2 Newton Raphson termino

x 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000 8.000000000000 9.000000000000 10.000000000000 11.000000000000 12.000000000000 13.000000000000 14.000000000000 15.000000000000 16.000000000000

Newton Raphson termino

4.200000000000 4.241570326079 4.283032696035 4.324408014334 4.365717282550 4.406981690021 4.448222709130 4.489462196414 4.530722500922 4.572026581433 4.613398134419 4.654861734946 4.696442993135 4.738168729277 4.780067171349 4.822168179423 4.864503502501

f(xi) -10.316000000000 -10.359379641433 -10.394513856177 -10.421264468630 -10.439479119267 -10.448990165857 -10.449613447044 -10.441146886844 -10.423368914926 -10.396036672998 -10.358883972079 -10.311618958565 -10.253921438532 -10.185439799188 -10.105787453213 -10.014538715240 -9.911223998804

f'(xi) error 248.157784000000 249.850156964447 0.980069240482 251.224988308801 0.968061018857 252.274245436726 0.956785718711 252.989919376546 0.946219499387 253.364014556130 0.936341704452 253.388539365323 0.927134763833 253.055497563743 0.918584130563 252.356880624380 0.910678252737 251.284661143470 0.903408582075 249.830787497132 0.896769621444 247.987179988470 0.890759014721 245.745728809639 0.885377683694 243.098294247816 0.880630018196 240.036709699992 0.876524127579 236.552788240461 0.873072163969 232.638333722151 0.870290730730

4.430000000000 4.471237440074 4.512485753422 4.553767614293 4.595106376621 4.636526208920 4.678052243517 4.719710743001 4.761529287334 4.803536985766 4.845764718585 4.888245414875 4.931014373854 4.974109639196 5.017572438067 5.061447699603 5.105784671445

f(xi) -10.450446500000 -10.446022824040 -10.432388160633 -10.409309294774 -10.376530616677 -10.333771922219 -10.280725895118 -10.217055214712 -10.142389221258 -10.056320055763 -9.958398172531 -9.848127098784 -9.724957285230 -9.588278852370 -9.437412986635 -9.271601674417 -9.089995375230

f'(xi) error 253.421320074043 253.247271852877 0.922282491739 252.711189386253 0.914092932420 251.805054349586 0.906542985216 250.520826391675 0.899625796226 248.850438588414 0.893337607363 246.785794556764 0.887677871794 244.318767608395 0.882649419680 241.441202443297 0.878258681400 238.144920042002 0.874515977629 234.421726624265 0.871435888275 230.263427820980 0.869037715677 225.661849581163 0.867346061807 220.608867845160 0.866391544775 215.096449713541 0.866211687180 209.116709808907 0.866852018236 202.661986884383 0.868367443884

x 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000 8.000000000000 9.000000000000 10.000000000000 11.000000000000 12.000000000000 13.000000000000 14.000000000000 15.000000000000 16.000000000000

secant d d termino

0.0100000000 x 0.0000000000 1.0000000000 2.0000000000 3.0000000000 4.0000000000 5.0000000000

f(xi) 1.0000000000 3.2003702692 1.8960053316 2.0576019314 2.0536183758 2.0536047775

-17.4000000000 26.4843794600 -3.4670487723 0.0902489202 0.0003077327 0.0000008843

(xi+d xi) f(xi+d xi) f'(xi) error 1.0100000000 -17.3209224000 1.0000000000 3.2323739719 27.1341962266 1.0000000000 1.9149653849 -3.0602615647 1.0000000000 2.0781779507 0.5564062187 1.0000000000 2.0741545595 0.4650486123 1.0000000000 2.0741408253 0.4647369241 1.0000000000

68.7536154918 68.7954256175 7.8536376405 0.1939774042 0.0006621642

a secant termino

x -1.000000000000 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000

b secant termino

f(xi) 1 3 -0.023214278 -1.226347476 0.233951216 0.396365774 0.944691166 0.000912955 -9.206532694

x -1.000000000000 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000

c secant termino

f(xi) 1.5 2.5 2.356928735 2.54728716 2.526339088 2.532106932 2.532213338 2.532212553 2.532212553

x -1.000000000000 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000

f'(xi) error -0.574675852 -1.278292547783 -1.697951521 2.274134168736 66.666666666667 -0.483363437 1.038812357240 13023.080947957600 -2.744750012 1.797817630838 98.107039077801 -0.274717273 0.565791169493 624.189399405328 -0.211940326 0.196610643901 40.975928848977 -0.505811697 -1.206495314484 58.042819908668 -0.45878544 0.998463131849 103376.182504709000 -1.808529397 -15.815897571229 100.009916384463

-0.996634689 0.166396317 0.669842314 -0.082827907 0.031471093 0.000570066 -4.23683E-06 5.53528E-10 0

f'(xi) error 0.395322605258 -4.916548010604 40.000000000000 -1.973715354675 6.070241449416 -5.586936980819 7.472986492907 -5.317785073981 0.829186871345 -5.396573379991 0.227788296637 -5.397994333081 0.004202093061 -5.397983854593 0.000031000266 -5.397983855962 0.000000004050

-0.996634689 0.753820863 -0.061769485 0.024146834 -1.39437E-05 1.61007E-09 0

f'(xi) error 0.395322605258 0.356869003180 33.333333333333 3.505298426344 16.760715672102 3.513476865345 1.253476722394 3.514764933523 0.353535877774 3.514765012205 0.000204032218 3.514765012196 0.000000023557

f(xi) 1.5 2.25 1.927017993 1.951479332 1.944604458 1.944608426 1.944608425

secant d d

0.0100000000

termino

x 0.0000000000 1.0000000000 2.0000000000 3.0000000000 4.0000000000 5.0000000000

f(xi) 3.5000000000 3.4997716993 1.5602414448 2.1272509262 2.0544565678 2.0536072833

0.2117802290 32.0961641723 -10.0623393833 1.6783193188 0.0192240895 0.0000574272

(xi+d xi) f(xi+d xi) f'(xi) error 3.5350000000 32.6790771000 1.0000000000 3.5347694162 32.6753211448 1.0000000000 1.5758438592 -9.7854537323 1.0000000000 2.1485234355 2.1687702831 1.0000000000 2.0750011335 0.4842632304 1.0000000000 2.0741433561 0.4647943588 1.0000000000

0.0065233039 124.3096227822 26.6545650280 3.5432415316 0.0413557443

Newton Raphson termino 0.000000000000 1.000000000000 2.000000000000 3.000000000000

x f(xi) f'(xi) error 3.000000000000 -0.750000000000 1.150000000000 3.652173913043 1.390646831594 5.818714555766 17.857142857143 3.413178372316 0.244562996890 3.826387020222 7.002140370567 3.349263510699 0.015387950909 3.348753856438 1.908325857691

secant termino x -1.000000000000 0.000000000000 1.000000000000 2.000000000000 3.000000000000

f(xi) f'(xi) error 0.5 -1.906250000000 7.500000000000 0.4 0.336 9.300000000000 25.000000000000 0.414984948 0.473278445 9.022627256349 3.610961848469 0.363323138 -0.017703779 9.990260786565 14.219245833555 0.365185953 0.000873211 9.954813372997 0.510100520458

secant d d 0.0100000000 termino x f(xi) (xi+d xi) f(xi+d xi) 0.0000000000 0.3000000000 -3.235350000000 0.3030000000 -3.212545879350 1.0000000000 0.7256270237 -79.6745404130 0.7328832939 -18.6671739726 2.0000000000 0.7351035841 -79.6594194121 0.7424546200 -18.6514951073 3.0000000000 0.7447019970 -79.6435990815 0.7521490170 -18.6332512504 4.0000000000 0.7544234212 -79.6270478892 0.7619676555 -18.6123625534 5.0000000000 0.7642690034 -79.6097329715 0.7719116935 -18.5887479053

f'(xi) error 1.0000000000 1.0000000000 58.6564460518 1.0000000000 1.2891462726 1.0000000000 1.2888931319 1.0000000000 1.2885899275 1.0000000000 1.2882351816

NEWTON RAPHSON termino 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000

x 0.300000000000 0.107843699703 0.143486608397 0.145012084315 0.145014812524

f(xi) 0.751414029395 -0.226951594756 -0.008952084582 -0.000015953145 -0.000000000051

f'(xi) error 3.910431394816 6.367370202672 178.180367353308 5.868388006233 24.840582053235 5.847478463938 1.051964686571 5.847441101374 0.001881331506

NEWTON RAPHSON termino 0.000000000000 1.000000000000 2.000000000000 3.000000000000 4.000000000000 5.000000000000 6.000000000000 7.000000000000 8.000000000000 9.000000000000 10.000000000000 11.000000000000 12.000000000000

x 2.000000000000 -0.084381221975 3.642372882188 0.440351889662 1.851957278945 -0.042533490291 3.468295959187 0.325623247039 2.175993393910 -0.108324955009 3.744700934799 0.511979359191 1.666498133122

f(xi) -1.264241117657 2.260390625385 -1.942123905010 0.856181948015 -1.149066736084 2.129425702130 -1.906127353360 1.122306225894 -1.385509115163 2.336978334835 -1.960744749920 0.700251033603 -0.985778807561

f'(xi) -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713

error

f(xi) -2.099574136736 -1.589201899941 2.252091103307 -1.940002022810 0.873104506246 -1.165647302206 2.151090860892 -1.912463134989 1.078529531326 -1.350065394207 2.322390166662 -1.957328812357 0.729894051191

f'(xi) -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713

error

f(xi) -2.073262555555 -2.058861524994 -0.446496463174 0.832227556353 -1.125221503518 2.096829926803 -1.896297531073 1.187840298867 -1.436171497592 2.344775351848 -1.962545825426 0.684424641746 -0.968119849213

f'(xi) -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713 -0.606530659713

error

2470.195587583220 102.316655232847 727.150505696637 76.222351634730 4454.115465904010 101.226351233903 965.125414333324 85.035650937633 2108.764641292390 102.892753170274 631.416387706502 69.278131849326


x 6.000000000000 2.538387461352 -0.081763514518 3.631306991059 0.432784390851 1.872290361842 -0.049537139438 3.497012118124 0.343893468038 2.122088047413 -0.103793484852 3.725180581788 0.498090935102

136.370534102954 3204.547885819010 102.251627711998 739.056830103859 76.884761056765 3879.568992229400 101.416556127485 916.888206128096 83.794571179205 2144.529144033600 102.786267204325 647.891663803976


x 8.000000000000 4.581767924910 1.187279135227 0.451130919100 1.823242193322 -0.031934433777 3.425153667585 0.298687592529 2.257105159466 -0.110741336987 3.755139660618 0.519448613515 1.647874078552

74.605089806165 285.904863394655 163.178400096194 75.256665255304 5809.329954165870 100.932350395814 1046.734498941540 86.766784379714 2138.177631654480 102.949060407752 622.908784991631 68.477651279554

Solucionario Métodos Numéricos para Ingenieros - Steven Capra & Raymond Canale 6ta Edicion

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