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

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

n

potencias de 5

n!

positivos

negativos

parte b

0.00000000000

1.00000000000

5.00000000000

1.00000000000

5.00000000000

2.00000000000

25.00000000000

2.00000000000 12.50000000000

12.50000000000

3.00000000000

125.00000000000

6.00000000000

20.83333333333

4.00000000000

625.00000000000

24.00000000000 26.04166666667

26.04166666667

5.00000000000

3125.00000000000

120.00000000000

26.04166666667

6.00000000000

15625.00000000000

720.00000000000 21.70138888889

21.70138888889

7.00000000000

78125.00000000000

5040.00000000000

15.50099206349

8.00000000000

390625.00000000000

40320.00000000000

9.68812003968

9.00000000000

1953125.00000000000

362880.00000000000

5.38228891093

10.00000000000

9765625.00000000000

3628800.00000000000

2.69114445547

11.00000000000

48828125.00000000000

39916800.00000000000

1.22324747976

12.00000000000

244140625.00000000000

479001600.00000000000

0.50968644990

13.00000000000

1220703125.00000000000

6227020800.00000000000

0.19603324996

14.00000000000

6103515625.00000000000

87178291200.00000000000

0.07001187499

15.00000000000

30517578125.00000000000

1307674368000.00000000000

0.02333729166

16.00000000000

152587890625.00000000000

20922789888000.00000000000

0.00729290364

17.00000000000

762939453125.00000000000

355687428096000.00000000000

0.00214497166

18.00000000000

3814697265625.00000000000

6402373705728000.00000000000

0.00059582546

19.00000000000 19073486328125.00000000000

121645100408832000.00000000000

0.00015679617

20.00000000000 95367431640625.00000000000 2432902008176640000.00000000000

0.00003919904

74.20994630374 74.20320076364 0.00674554010

148.41314706738 0.00673794755

(13)

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

(14)

función=LN(POTENCIA(x;4))-0,7

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

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

(15)

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

(16)

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

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

(17)

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

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

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

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 208

ti 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

(18)

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

(19)

función=(2POTENCIA(x;3))-(11,7POTENCIA(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

-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

(20)

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 -83197514988020.60000000000099.955576919059 5.000000000000 46220850781279.5000 -2136367046945230000000000000.000000000000 99.999980265902 6.000000000000 1186870581636280000000000000.0000 -1408661777553650000000000000000000000000000000000000000.000000000000 99.999999999996 7.000000000000 782589876418694000000000000000000000000000000000000000.0000 -612446914673027000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.000000000000100.000000000000 8.000000000000 340248285929460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.0000 -115768896077935000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.000000000000100.000000000000 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

0.000000000000 5.0000 -13.500000000000 -8.200000000000 1.000000000000 3.3537 -2.710440214158 -4.90731707317149.090909090909 2.000000000000 2.8013 -0.305064326411 -3.80266450080019.716557581003 3.000000000000 2.7211 -0.006435863573 -3.6422168324102.948204258133 4.000000000000 2.7193 -0.000003122353 -3.6386827959320.064979639564 5.000000000000 2.7193 -0.000000000001 -3.6386810797320.000031555442

(21)

función=(0,5POTENCIA(x;3))-(4POTENCIA(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

(22)

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

Newton Raphson

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

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

(23)

secant d

d 0.0100000000

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

(24)

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

(25)

secant d

d 0.0100000000

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

(26)

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

(27)

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

(28)

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