solucionario métodos numéricos para ingenieros - steven capra & raymond canale 6ta edicion

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Solucionario Capitulos 3, 4, 5 y 6 del libro Métodos Numéricos para Ingenieros de Steven Chapra & Raymond Canale 6ta Edición

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n potencias de 5 n! positivos negativos parte b

0.00000000000 1.00000000000 1.00000000000 1.00000000000 1.00000000000

1.00000000000 5.00000000000 1.00000000000 5.00000000000 5.00000000000

2.00000000000 25.00000000000 2.00000000000 12.50000000000 12.50000000000

3.00000000000 125.00000000000 6.00000000000 20.83333333333 20.83333333333

4.00000000000 625.00000000000 24.00000000000 26.04166666667 26.04166666667

5.00000000000 3125.00000000000 120.00000000000 26.04166666667 26.04166666667

6.00000000000 15625.00000000000 720.00000000000 21.70138888889 21.70138888889

7.00000000000 78125.00000000000 5040.00000000000 15.50099206349 15.50099206349

8.00000000000 390625.00000000000 40320.00000000000 9.68812003968 9.68812003968

9.00000000000 1953125.00000000000 362880.00000000000 5.38228891093 5.38228891093

10.00000000000 9765625.00000000000 3628800.00000000000 2.69114445547 2.69114445547

11.00000000000 48828125.00000000000 39916800.00000000000 1.22324747976 1.22324747976

12.00000000000 244140625.00000000000 479001600.00000000000 0.50968644990 0.50968644990

13.00000000000 1220703125.00000000000 6227020800.00000000000 0.19603324996 0.19603324996

14.00000000000 6103515625.00000000000 87178291200.00000000000 0.07001187499 0.07001187499

15.00000000000 30517578125.00000000000 1307674368000.00000000000 0.02333729166 0.02333729166

16.00000000000 152587890625.00000000000 20922789888000.00000000000 0.00729290364 0.00729290364

17.00000000000 762939453125.00000000000 355687428096000.00000000000 0.00214497166 0.00214497166

18.00000000000 3814697265625.00000000000 6402373705728000.00000000000 0.00059582546 0.00059582546

19.00000000000 19073486328125.00000000000 121645100408832000.00000000000 0.00015679617 0.00015679617

20.00000000000 95367431640625.00000000000 2432902008176640000.00000000000 0.00003919904 0.00003919904

74.20994630374 74.20320076364 0.00674554010 148.41314706738 0.00673794755

función=SENO(x)-POTENCIA(x;3)

termino xl f(xi) xu f(xu) xr f(xr) error

1.000000000000 0.500000000000 0.354425538604 1.000000000000 -0.158529015192 0.750000000000 0.259763760023 33.333333333333

2.000000000000 0.750000000000 0.259763760023 1.000000000000 -0.158529015192 0.875000000000 0.097621627236 14.285714285714

3.000000000000 0.875000000000 0.097621627236 1.000000000000 -0.158529015192 0.937500000000 -0.017893501114 6.666666666667

4.000000000000 0.875000000000 0.097621627236 0.937500000000 -0.017893501114 0.906250000000 0.042903434441 3.448275862069

5.000000000000 0.906250000000 0.042903434441 0.937500000000 -0.017893501114 0.921875000000 0.013277423930 1.694915254237

función=LN(POTENCIA(x;4))-0,7

termino xl f(xi) xu f(xu) xr f(xr) error

1.000000000000 0.500000000000 -3.472588722240 2.000000000000 2.072588722240 1.250000000000 0.192574205257 60.000000000000

2.000000000000 1.250000000000 -1.004140380644 2.000000000000 -7.090702573174 1.625000000000 -3.292484284460 23.076923076923

3.000000000000 1.250000000000 -1.004140380644 1.625000000000 -3.292484284460 1.437500000000 -1.979329793421 13.043478260870

4.000000000000 1.250000000000 -1.004140380644 1.437500000000 -1.979329793421 1.343750000000 -1.452025566075 6.976744186047

5.000000000000 1.250000000000 -1.004140380644 1.343750000000 -1.452025566075 1.296875000000 -1.218476757352 3.614457831325

6.000000000000 1.250000000000 -1.004140380644 1.296875000000 -1.218476757352 1.273437500000 -1.108947416221 1.840490797546

termino xl f(xi) xu f(xu) xr f(xr) error

1.000000000000 0.500000000000 -3.472588722240 2.000000000000 2.072588722240 1.439353724117 0.756776840596 38.951250584869

2 0.500000000000 -3.472588722240 1.439353724117 0.756776840596 1.271271506352 0.260070342887 13.221583031236

3 0.500000000000 -3.472588722240 1.271271506352 0.260070342887 1.217533717388 0.087309078177 4.413659202739

4 0.500000000000 -3.472588722240 1.217533717388 0.087309078177 1.199935682012 0.029071828137 1.466581554300

función=(0,8-0,3*x)/x

termino xl f(xi) xu f(xu) xr f(xr) error f(xl)*f(xr)

1.000000000000 1.000000000000 0.500000000000 3.000000000000 -0.033333333333 2.875000000000 -0.021739130435 4.347826086957 -0.01086957

2 1.000000000000 0.500000000000 2.875000000000 -0.021739130435 2.796875000000 -0.013966480447 2.793296089385 -0.00698324

3 1.000000000000 0.500000000000 2.796875000000 -0.013966480447 2.748046875000 -0.008884150675 1.776830135039 -0.00444208

4 1.000000000000 0.500000000000 2.748046875000 -0.008884150675 2.717529296875 -0.005614949241 1.122989848172 -0.00280747

función=POTENCIA(x;2)-18

termino xl f(xi) xu f(xu) xr f(xr) error f(xl)*f(xr) Columna1

1.000000000000 4.000000000000 -2.000000000000 5.000000000000 7.000000000000 4.222222222222 -0.172839506173 18.421052631579 0.345679012 17.82716049

2 4.000000000000 -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 f(xi) xu f(xu) xr f(xr) error f(xl)*f(xr)

1.000000000000 0.000000000000 -5.000000000000 5.000000000000 10.431821911429 1.620029063547 -4.229443345097 208.636438228583 21.14721673

2 0.000000000000 -5.000000000000 1.620029063547 -4.229443345097 ############## ############### 84.588866901935 -524.722375

3 10.512069769552 104.944474908348 1.620029063547 -4.229443345097 1.964510446921 -4.350169302948 17.535227868815 -456.526233

4 10.512069769552 104.944474908342 1.964510446921 -4.350169302948 2.304722270188 -4.720385465926 14.761510645670 -495.378374

5 10.512069769552 104.944474908342 2.304722270188 -4.720385465926 2.657997181747 -4.579600033195 13.291019041877 -480.603721

6 10.512069769552 104.944474908342 2.657997181747 -4.579600033195 2.986404530570 -3.602657262947 10.996746939714 -378.078975

7 10.512069769552 104.944474908342 2.986404530570 -3.602657262947 3.236179830842 -2.631371543772 7.718214479040 -276.147905

8 10.512069769552 104.944474908342 3.236179830842 -2.631371543772 3.414152585617 -1.812902234645 5.212794399548 -190.254073

9 10.512069769552 104.944474908342 3.414152585617 -1.812902234645 3.534685988258 -1.197166923882 3.410017270034 -125.636054

10 10.512069769552 104.944474908342 3.534685988258 -1.197166923882 3.613383593966 -0.767959273058 2.177947723021 -80.5930827

11 10.512069769552 104.944474908342 3.613383593966 -0.767959273058 3.663499836786 -0.483337050456 1.367988127531 -50.723553

12 10.512069769552 104.944474908342 3.663499836786 -0.483337050456 3.694897316537 -0.300522685056 0.849752430474 -31.5381954

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

termino xl f(xi) xu f(xu) xr f(xr) error f(xl)*f(xr)

1.000000000000 4.500000000000 1998.312500000000 6.000000000000 2009.000000000000 -275.964912280702 5965176523.557070000000 102.174189446917 1.19203E+13

2 -275.964912280702 5965176523.557070000000 6.000000000000 2009.000000000000 6.000094962437 2009.002849206780 0.001582682233 1.19841E+13

3 6.000094962437 2009.002849206780 6.000000000000 2009.000000000000 -60.958824099520 15464177.847304500000 109.842709548013 31067577356

4 -60.958824099520 15464177.847304500000 6.000000000000 2009.000000000000 6.008699961755 2009.263809899660 0.144789418844 31071612898

5 6.008699961755 2009.263809899660 6.000000000000 2009.000000000000 -60.253098113270 14776846.234940200000 109.957994174375 29690582364

6 -60.253098113270 14776846.234940200000 6.000000000000 2009.000000000000 6.009008726932 2009.273276327450 0.149920350278 29690722248

7 6.009008726932 2009.273276327450 6.000000000000 2009.000000000000 -60.227955323944 14752788.111277900000 109.962151243103 29642382903

función=POTENCIA(x;3,5)-80

termino xl f(xi) xu f(xu) xr f(xr) error f(xl)*f(xr)

1.000000000000 2.000000000000 -69.150844693241 5.000000000000 199.508497187474 2.772176886266 -44.529012147432 80.363671047513 3079.218803

2 2.000000000000 1713.000000000000 2.772176886266 1868.131865125510 -6.526546142558 611.631512956082 142.475404689005 1047724.782

3 -6.526546142558 611.631512956082 2.768317965874 1867.526251144290 -11.053224712421 17480.712024027200 125.045342313204 10691754.34

4 -11.053224712421 17480.712024027200 2.768317965874 1867.526251144290 4.421541988088 1997.116178441050 37.390214243545 34911012.79

5 4.421541988088 1997.116178441050 2.768317965874 1867.526251144290 -21.056367524052 247271.360558886000 113.147177274102 493829634.6

6 -21.056367524052 247271.360558886000 2.768317965874 1867.526251144290 2.949624120699 1894.215379362530 6.146754549262 468385214

7 2.949624120699 1894.215379362530 2.768317965874 1867.526251144290 -9.918271152408 10577.274472419600 127.911295460010 20035635.98

8 -9.918271152408 10577.274472419600 2.768317965874 1867.526251144290 5.488550240556 2001.262855991660 49.561945421983 21167906.52

8 5.488550240556 2001.262855991660 2.768317965874 1867.526251144290 -35.217581167557 1829469.668369500000 107.860613574517 3661249693

8 -35.217581167557 1829469.668369500000 2.768317965874 1867.526251144290 2.807133669888 1873.542868224460 1.382752251203 3427589850

función=x*(-185)+1650

termino xl f(xi) xu f(xu) xr f(xr) error

1.000000000000 6.000000000000 540.000000000000 ############## -200.000000000000 8.918918918919 0.000000000000 12.121212121212

2 8.918918918919 0.000000000000 8.918918918919 0.000000000000 #¡DIV/0! #¡DIV/0! #¡DIV/0!

RANDOM 208ti f(ti) f'(ti) ti+1

1.0000 -21.6224 15.7080 2.37653

2.3765 9.1742 27.0531 2.03741

2.0374 0.2661 25.3634 2.02692

2.0269 0.0003 25.2996 2.02691

2.0269 0.0000 25.2995 2.02691

2.0269 0.0000 25.2995 2.02691

Respuesta 2.0269

función=2*SENO(RAIZ(x))

termino x f(xi) error

0.000000000000 0.500000000000 1.299273878160

1.000000000000 1.299273878160 1.817147504138 61.516966637701

2.000000000000 1.817147504138 1.950573917290 28.499261881505

3.000000000000 1.950573917290 1.969742513338 6.840366928399

4.000000000000 1.969742513338 1.972068881274 0.973152374938

5.000000000000 1.972068881274 1.972344178273 0.117965855937

6.000000000000 1.972344178273 1.972376655978 0.013957857952

7.000000000000 1.972376655978 1.972380486082 0.001646627931

8.000000000000 1.972380486082 1.972380937747 0.000194186881

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

FIXED-POINT

termino x f(xi) error

0.000000000000 3.000000000000 -3.200000000000

1.000000000000 3.180790960452 -2.711077280251 5.683836589698

2.000000000000 3.333959168376 -1.921938191475 4.594183677373

3.000000000000 3.442543246990 -1.129025274736 3.154181976054

4.000000000000 3.506329985676 -0.565757986862 1.819188123943

5.000000000000 3.538293713747 -0.255118554529 0.903365595318

6.000000000000 3.552707191404 -0.108694427084 0.405704069614

7.000000000000 3.558848119488 -0.045098053923 0.172553811730

8.000000000000 3.561396032139 -0.018497943075 0.071542525123

NEWTON RAPHSON

termino x f(xi) f'(xi) error

0.000000000000 3.000000000000 -3.200000000000 1.500000000000

1.000000000000 5.133333333333 48.090074074073 55.686666666666 41.558441558441

2.000000000000 4.269750056533 12.956243556115 27.172441948716 20.225616613757

3.000000000000 3.792934480643 2.947603115433 15.263444999662 12.571152449993

4.000000000000 3.599819288398 0.397972739116 11.216422106222 5.364580185109

5.000000000000 3.564338032847 0.012372601908 10.521523705785 0.995451475807

6.000000000000 3.563162100325 0.000013390755 10.498751771554 0.033002498596

7.000000000000 3.563160824864 0.000000000016 10.498727081247 0.000035795792

8.000000000000 3.563160824862 0.000000000000 10.498727081218 0.000000000042

SECANT

termino x f(xi) f'(xi) error

-1.000000000000 3 -3.2 1.500000000000

0.000000000000 4 6.6 20.100000000000 25.000000000000

1.000000000000 3.326530612 -1.968853114 6.254019158684 20.245398773006

2.000000000000 3.481272709 -0.795915322 8.953776663644 4.444986362434

3.000000000000 3.586275385 0.24786946 10.949382807681 2.927903298829

4.000000000000 3.561340209 -0.019082074 10.463503624306 0.700162684706

5.000000000000 3.563122611 -0.000401181 10.497987351192 0.050023584169

6.000000000000 3.563160889 6.74286E-07 10.498728324491 0.001074269754

7.000000000000 3.563160825 -2.37534E-11 10.498727081174 0.000001802551

SECANT D

d 0.01

termino x f(xi) (xi+d xi) f(xi+d xi) f'(xi) error

0.000000000000 3 -3.2 3.03 -3.149276 1.690800000000

1.000000000000 4.892595221 35.76320461 4.941521173 38.09730537 #¡VALOR! 38.682848991824

2.000000000000 3.155436514 -2.807123165 3.186990879 -2.686153978 0.012778917328 55.052880929013

3.000000000000 3.281865786 -2.23188937 3.314684444 -2.041783578 0.011839551366 3.852359599429

4.000000000000 3.772407458 2.638931953 3.810131533 3.213369704 0.048257512419 13.003411681761

5.000000000000 3.50663994 -0.562837945 3.54170634 -0.220809358 0.029720110168 7.578979374634

6.000000000000 3.553359114 -0.101977481 3.588892705 0.276594791 0.028241717575 1.314788966913

7.000000000000 3.563696958 0.005631496 3.599333927 0.392531057 0.030960380933 0.290087632382

8.000000000000 3.563155948 -5.1202E-05 3.598787507 0.386410383 0.030523364271 0.015183449447

función=(-(POTENCIA(x;2)))+1,8*x+2,5

fixed-point

termino x f(xi) error

0.000000000000 5.0000 -13.500000000000

1.000000000000 12.5000 -131.250000000000 60.000000000000

2.000000000000 85.4167 -7139.756944444450 85.365853658537

3.000000000000 4051.9483 -16410989.038938100000 97.891960600420

4.000000000000 9121268.0810 -83197514988020.600000000000 99.955576919059

5.000000000000 46220850781279.5000 -2136367046945230000000000000.000000000000 99.999980265902

6.000000000000 1186870581636280000000000000.0000 -1408661777553650000000000000000000000000000000000000000.000000000000 99.999999999996

7.000000000000 782589876418694000000000000000000000000000000000000000.0000 -612446914673027000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.000000000000 100.000000000000

8.000000000000 340248285929460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.0000 -115768896077935000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.000000000000 100.000000000000

9.000000000000 64316053376630700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.0000 #¡NUM! 100.000000000000

10.000000000000 #¡NUM! #¡NUM! #¡NUM!

11.000000000000 #¡NUM! #¡NUM! #¡NUM!

12.000000000000 #¡NUM! #¡NUM! #¡NUM!

13.000000000000 #¡NUM! #¡NUM! #¡NUM!

14.000000000000 #¡NUM! #¡NUM! #¡NUM!

15.000000000000 #¡NUM! #¡NUM! #¡NUM!

Newton Raphson

termino x f(xi) f'(xi) error

0.000000000000 5.0000 -13.500000000000 -8.200000000000

1.000000000000 3.3537 -2.710440214158 -4.907317073171 49.090909090909

2.000000000000 2.8013 -0.305064326411 -3.802664500800 19.716557581003

3.000000000000 2.7211 -0.006435863573 -3.642216832410 2.948204258133

4.000000000000 2.7193 -0.000003122353 -3.638682795932 0.064979639564

5.000000000000 2.7193 -0.000000000001 -3.638681079732 0.000031555442

función=(0,5*POTENCIA(x;3))-(4*POTENCIA(x;2))+(5,5*x)-1

Newton Raphson

termino x f(xi) f'(xi) error

0.000000000000 1.000000000000 1.000000000000 -12.000000000000

1.000000000000 1.083333333333 0.899594907407 -11.482852763109 7.692307692308

2.000000000000 1.161675791080 0.775089582083 -10.799570866284 6.743917567054

3.000000000000 1.233446196745 0.636672059807 -9.985349510848 5.818689607585

4.000000000000 1.297206815151 0.495089877415 -9.093048039240 4.915223822511

5.000000000000 1.351653891123 0.360937801839 -8.192088269514 4.028181794921

6.000000000000 1.395713206644 0.243796594739 -7.361217588505 3.156759949737

7.000000000000 1.428832264980 0.150855463721 -6.672707653366 2.317910866653

8.000000000000 1.451440098495 0.085065826464 -6.169672319466 1.557613954468

9.000000000000 1.465227836654 0.044026058036 -5.849301023612 0.940996192780

10.000000000000 1.472754557856 0.021332844655 -5.669980121845 0.511064193468

11.000000000000 1.476516977512 0.009912928788 -5.579156031071 0.254817229495

12.000000000000 1.478293756783 0.004502364745 -5.535988511026 0.120191217971

13.000000000000 1.479107046900 0.002022016282 -5.516169997430 0.054985210089

14.000000000000 1.479473608533 0.000903316807 -5.507225310482 0.024776490153

15.000000000000 1.479637632476 0.000402581611 -5.503220409779 0.011085412991

16.000000000000 1.479710786298 0.000179225431 -5.501433755265 0.004943791956

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

Newton Raphson

termino x f(xi) f'(xi) error

0.000000000000 4.200000000000 -10.316000000000 248.157784000000

1.000000000000 4.241570326079 -10.359379641433 249.850156964447 0.980069240482

2.000000000000 4.283032696035 -10.394513856177 251.224988308801 0.968061018857

3.000000000000 4.324408014334 -10.421264468630 252.274245436726 0.956785718711

4.000000000000 4.365717282550 -10.439479119267 252.989919376546 0.946219499387

5.000000000000 4.406981690021 -10.448990165857 253.364014556130 0.936341704452

6.000000000000 4.448222709130 -10.449613447044 253.388539365323 0.927134763833

7.000000000000 4.489462196414 -10.441146886844 253.055497563743 0.918584130563

8.000000000000 4.530722500922 -10.423368914926 252.356880624380 0.910678252737

9.000000000000 4.572026581433 -10.396036672998 251.284661143470 0.903408582075

10.000000000000 4.613398134419 -10.358883972079 249.830787497132 0.896769621444

11.000000000000 4.654861734946 -10.311618958565 247.987179988470 0.890759014721

12.000000000000 4.696442993135 -10.253921438532 245.745728809639 0.885377683694

13.000000000000 4.738168729277 -10.185439799188 243.098294247816 0.880630018196

14.000000000000 4.780067171349 -10.105787453213 240.036709699992 0.876524127579

15.000000000000 4.822168179423 -10.014538715240 236.552788240461 0.873072163969

16.000000000000 4.864503502501 -9.911223998804 232.638333722151 0.870290730730

Newton Raphson

termino x f(xi) f'(xi) error

0.000000000000 4.430000000000 -10.450446500000 253.421320074043

1.000000000000 4.471237440074 -10.446022824040 253.247271852877 0.922282491739

2.000000000000 4.512485753422 -10.432388160633 252.711189386253 0.914092932420

3.000000000000 4.553767614293 -10.409309294774 251.805054349586 0.906542985216

4.000000000000 4.595106376621 -10.376530616677 250.520826391675 0.899625796226

5.000000000000 4.636526208920 -10.333771922219 248.850438588414 0.893337607363

6.000000000000 4.678052243517 -10.280725895118 246.785794556764 0.887677871794

7.000000000000 4.719710743001 -10.217055214712 244.318767608395 0.882649419680

8.000000000000 4.761529287334 -10.142389221258 241.441202443297 0.878258681400

9.000000000000 4.803536985766 -10.056320055763 238.144920042002 0.874515977629

10.000000000000 4.845764718585 -9.958398172531 234.421726624265 0.871435888275

11.000000000000 4.888245414875 -9.848127098784 230.263427820980 0.869037715677

12.000000000000 4.931014373854 -9.724957285230 225.661849581163 0.867346061807

13.000000000000 4.974109639196 -9.588278852370 220.608867845160 0.866391544775

14.000000000000 5.017572438067 -9.437412986635 215.096449713541 0.866211687180

15.000000000000 5.061447699603 -9.271601674417 209.116709808907 0.866852018236

16.000000000000 5.105784671445 -9.089995375230 202.661986884383 0.868367443884

secant d

d 0.0100000000

termino x f(xi) (xi+d xi) f(xi+d xi) f'(xi) error

0.0000000000 1.0000000000 -17.4000000000 1.0100000000 -17.3209224000 1.0000000000

1.0000000000 3.2003702692 26.4843794600 3.2323739719 27.1341962266 1.0000000000 68.7536154918

2.0000000000 1.8960053316 -3.4670487723 1.9149653849 -3.0602615647 1.0000000000 68.7954256175

3.0000000000 2.0576019314 0.0902489202 2.0781779507 0.5564062187 1.0000000000 7.8536376405

4.0000000000 2.0536183758 0.0003077327 2.0741545595 0.4650486123 1.0000000000 0.1939774042

5.0000000000 2.0536047775 0.0000008843 2.0741408253 0.4647369241 1.0000000000 0.0006621642

a

secant

termino x f(xi) f'(xi) error

-1.000000000000 1 -0.574675852 -1.278292547783

0.000000000000 3 -1.697951521 2.274134168736 66.666666666667

1.000000000000 -0.023214278 -0.483363437 1.038812357240 13023.080947957600

2.000000000000 -1.226347476 -2.744750012 1.797817630838 98.107039077801

3.000000000000 0.233951216 -0.274717273 0.565791169493 624.189399405328

4.000000000000 0.396365774 -0.211940326 0.196610643901 40.975928848977

5.000000000000 0.944691166 -0.505811697 -1.206495314484 58.042819908668

6.000000000000 0.000912955 -0.45878544 0.998463131849 103376.182504709000

7.000000000000 -9.206532694 -1.808529397 -15.815897571229 100.009916384463

b

secant

termino x f(xi) f'(xi) error

-1.000000000000 1.5 -0.996634689 0.395322605258

0.000000000000 2.5 0.166396317 -4.916548010604 40.000000000000

1.000000000000 2.356928735 0.669842314 -1.973715354675 6.070241449416

2.000000000000 2.54728716 -0.082827907 -5.586936980819 7.472986492907

3.000000000000 2.526339088 0.031471093 -5.317785073981 0.829186871345

4.000000000000 2.532106932 0.000570066 -5.396573379991 0.227788296637

5.000000000000 2.532213338 -4.23683E-06 -5.397994333081 0.004202093061

6.000000000000 2.532212553 5.53528E-10 -5.397983854593 0.000031000266

7.000000000000 2.532212553 0 -5.397983855962 0.000000004050

c

secant

termino x f(xi) f'(xi) error

-1.000000000000 1.5 -0.996634689 0.395322605258

0.000000000000 2.25 0.753820863 0.356869003180 33.333333333333

1.000000000000 1.927017993 -0.061769485 3.505298426344 16.760715672102

2.000000000000 1.951479332 0.024146834 3.513476865345 1.253476722394

3.000000000000 1.944604458 -1.39437E-05 3.514764933523 0.353535877774

4.000000000000 1.944608426 1.61007E-09 3.514765012205 0.000204032218

5.000000000000 1.944608425 0 3.514765012196 0.000000023557

secant d

d 0.0100000000

termino x f(xi) (xi+d xi) f(xi+d xi) f'(xi) error

0.0000000000 3.5000000000 0.2117802290 3.5350000000 32.6790771000 1.0000000000

1.0000000000 3.4997716993 32.0961641723 3.5347694162 32.6753211448 1.0000000000 0.0065233039

2.0000000000 1.5602414448 -10.0623393833 1.5758438592 -9.7854537323 1.0000000000 124.3096227822

3.0000000000 2.1272509262 1.6783193188 2.1485234355 2.1687702831 1.0000000000 26.6545650280

4.0000000000 2.0544565678 0.0192240895 2.0750011335 0.4842632304 1.0000000000 3.5432415316

5.0000000000 2.0536072833 0.0000574272 2.0741433561 0.4647943588 1.0000000000 0.0413557443

Newton Raphson

termino x f(xi) f'(xi) error

0.000000000000 3.000000000000 -0.750000000000 1.150000000000

1.000000000000 3.652173913043 1.390646831594 5.818714555766 17.857142857143

2.000000000000 3.413178372316 0.244562996890 3.826387020222 7.002140370567

3.000000000000 3.349263510699 0.015387950909 3.348753856438 1.908325857691

secant

termino x f(xi) f'(xi) error

-1.000000000000 0.5 -1.906250000000 7.500000000000

0.000000000000 0.4 0.336 9.300000000000 25.000000000000

1.000000000000 0.414984948 0.473278445 9.022627256349 3.610961848469

2.000000000000 0.363323138 -0.017703779 9.990260786565 14.219245833555

3.000000000000 0.365185953 0.000873211 9.954813372997 0.510100520458

secant d

d 0.0100000000

termino x f(xi) (xi+d xi) f(xi+d xi) f'(xi) error

0.0000000000 0.3000000000 -3.235350000000 0.3030000000 -3.212545879350 1.0000000000

1.0000000000 0.7256270237 -79.6745404130 0.7328832939 -18.6671739726 1.0000000000 58.6564460518

2.0000000000 0.7351035841 -79.6594194121 0.7424546200 -18.6514951073 1.0000000000 1.2891462726

3.0000000000 0.7447019970 -79.6435990815 0.7521490170 -18.6332512504 1.0000000000 1.2888931319

4.0000000000 0.7544234212 -79.6270478892 0.7619676555 -18.6123625534 1.0000000000 1.2885899275

5.0000000000 0.7642690034 -79.6097329715 0.7719116935 -18.5887479053 1.0000000000 1.2882351816

NEWTON RAPHSON

termino x f(xi) f'(xi) error

0.000000000000 0.300000000000 0.751414029395 3.910431394816

1.000000000000 0.107843699703 -0.226951594756 6.367370202672 178.180367353308

2.000000000000 0.143486608397 -0.008952084582 5.868388006233 24.840582053235

3.000000000000 0.145012084315 -0.000015953145 5.847478463938 1.051964686571

4.000000000000 0.145014812524 -0.000000000051 5.847441101374 0.001881331506

NEWTON RAPHSON

termino x f(xi) f'(xi) error

0.000000000000 2.000000000000 -1.264241117657 -0.606530659713

1.000000000000 -0.084381221975 2.260390625385 -0.606530659713 2470.195587583220

2.000000000000 3.642372882188 -1.942123905010 -0.606530659713 102.316655232847

3.000000000000 0.440351889662 0.856181948015 -0.606530659713 727.150505696637

4.000000000000 1.851957278945 -1.149066736084 -0.606530659713 76.222351634730

5.000000000000 -0.042533490291 2.129425702130 -0.606530659713 4454.115465904010

6.000000000000 3.468295959187 -1.906127353360 -0.606530659713 101.226351233903

7.000000000000 0.325623247039 1.122306225894 -0.606530659713 965.125414333324

8.000000000000 2.175993393910 -1.385509115163 -0.606530659713 85.035650937633

9.000000000000 -0.108324955009 2.336978334835 -0.606530659713 2108.764641292390

10.000000000000 3.744700934799 -1.960744749920 -0.606530659713 102.892753170274

11.000000000000 0.511979359191 0.700251033603 -0.606530659713 631.416387706502

12.000000000000 1.666498133122 -0.985778807561 -0.606530659713 69.278131849326

NEWTON RAPHSON

termino x f(xi) f'(xi) error

0.000000000000 6.000000000000 -2.099574136736 -0.606530659713

1.000000000000 2.538387461352 -1.589201899941 -0.606530659713 136.370534102954

2.000000000000 -0.081763514518 2.252091103307 -0.606530659713 3204.547885819010

3.000000000000 3.631306991059 -1.940002022810 -0.606530659713 102.251627711998

4.000000000000 0.432784390851 0.873104506246 -0.606530659713 739.056830103859

5.000000000000 1.872290361842 -1.165647302206 -0.606530659713 76.884761056765

6.000000000000 -0.049537139438 2.151090860892 -0.606530659713 3879.568992229400

7.000000000000 3.497012118124 -1.912463134989 -0.606530659713 101.416556127485

8.000000000000 0.343893468038 1.078529531326 -0.606530659713 916.888206128096

9.000000000000 2.122088047413 -1.350065394207 -0.606530659713 83.794571179205

10.000000000000 -0.103793484852 2.322390166662 -0.606530659713 2144.529144033600

11.000000000000 3.725180581788 -1.957328812357 -0.606530659713 102.786267204325

12.000000000000 0.498090935102 0.729894051191 -0.606530659713 647.891663803976

NEWTON RAPHSON

termino x f(xi) f'(xi) error

0.000000000000 8.000000000000 -2.073262555555 -0.606530659713

1.000000000000 4.581767924910 -2.058861524994 -0.606530659713 74.605089806165

2.000000000000 1.187279135227 -0.446496463174 -0.606530659713 285.904863394655

3.000000000000 0.451130919100 0.832227556353 -0.606530659713 163.178400096194

4.000000000000 1.823242193322 -1.125221503518 -0.606530659713 75.256665255304

5.000000000000 -0.031934433777 2.096829926803 -0.606530659713 5809.329954165870

6.000000000000 3.425153667585 -1.896297531073 -0.606530659713 100.932350395814

7.000000000000 0.298687592529 1.187840298867 -0.606530659713 1046.734498941540

8.000000000000 2.257105159466 -1.436171497592 -0.606530659713 86.766784379714

9.000000000000 -0.110741336987 2.344775351848 -0.606530659713 2138.177631654480

10.000000000000 3.755139660618 -1.962545825426 -0.606530659713 102.949060407752

11.000000000000 0.519448613515 0.684424641746 -0.606530659713 622.908784991631

12.000000000000 1.647874078552 -0.968119849213 -0.606530659713 68.477651279554