FUNCIONES

VÁZQUEZ ARAGÓN LUIS ALBERTO NO: 39

1. 4x-tan(x)=0

REGLA FALSA

x1 x2 xr f(x1) f(x2) f(xr) f(x1)*f(xr) era

-1.5 1 2.07910702 8.10141995 2.44259228 10.1112996 81.9158842

2.07910702 1 0.65628908 10.1112996 2.44259228 1.8549805 18.7562635 216.797445

0.65628908 1 -0.42874204 1.8549805 2.44259228 -1.25786881 -2.33332211 -253.07318

0.65628908 -0.42874204 0.00970732 1.8549805 -1.25786881 0.02912167 0.05402012 4516.68642

0.00970732 -0.42874204 -0.00021379 0.02912167 -1.25786881 -0.00064136 -1.8678E-05 -4640.63519

0.00970732 -0.00021379 2.1892E-09 0.02912167 -0.00064136 6.5676E-09 1.9126E-10 9765593.31

2.1892E-09 -0.00021379 -1.1113E-17 6.5676E-09 -0.00064136 -3.3339E-17 -2.1896E-25 -1.9699E+10

BISECCIÓN

x1 x2 xm f(x1) f(xm) f(x1)*f(xm) era

-1.5 1 -0.25 8.10141995 -0.74465808 -6.03278781

-1.5 -0.25 -0.875 8.10141995 -2.30257837 -18.6541543 -71.4285714

-1.5 -0.875 -1.1875 8.10141995 -2.27008708 -18.3909288 -26.3157895

-1.5 -1.1875 -1.34375 8.10141995 -1.046556 -8.47858968 -11.627907

-1.5 -1.34375 -1.421875 8.10141995 0.97774096 7.92109008 -5.49450549

-1.421875 -1.34375 -1.3828125 0.97774096 -0.27445283 -0.26834377 -2.82485876

-1.421875 -1.3828125 -1.40234375 0.97774096 0.27075649 0.26472971 -1.39275766

-1.40234375 -1.3828125 -1.39257813 0.27075649 -0.01874559 -0.00507549 -0.70126227

-1.40234375 -1.39257813 -1.39746094 0.27075649 0.12142406 0.03287635 -0.34940601

-1.39746094 -1.39257813 -1.39501953 0.12142406 0.05024162 0.00610054 -0.17500875

-1.39501953 -1.39257813 -1.39379883 0.05024162 0.01547929 0.0007777 -0.08758101

-1.39379883 -1.39257813 -1.39318848 0.01547929 -0.00169964 -2.6309E-05 -0.04380969

-1.39379883 -1.39318848 -1.39349365 0.01547929 0.00687311 0.00010639 -0.02190005

-1.39349365 -1.39318848 -1.39334106 0.00687311 0.00258257 1.775E-05 -0.01095122

-1.39334106 -1.39318848 -1.39326477 0.00258257 0.00044042 1.1374E-06 -0.00547591

NEWTON RAPHSON

xi f(xi) f'(xi) xi+1 Ea

-1.5 8.101419947 -195.850045 -1.45863458

-1.45863458 3.043738474 -75.8237986 -1.41849232 -2.82992423

-1.41849232 0.840999443 -39.4448174 -1.39717141 -1.52600539

-1.39717141 0.112864681 -29.507676 -1.39334648 -0.27451364

-1.39334648 0.002734759 -28.0931219 -1.39324914 -0.00698699

-1.39324914 1.6949E-06 -28.0583094 -1.39324908 -4.3356E-06

2. ex-4sen(x)=0

REGLA FALSA


-0.5 0.5 0.33880657 2.79174062 -0.53648869 -0.00630685 -0.01760708

-0.5 0.33880657 0.33691589 2.79174062 -0.00630685 -0.00046124 -0.00128767 0.56117393

-0.5 0.33691589 0.33677764 2.79174062 -0.00046124 -3.4049E-05 -9.5055E-05 0.04105068

-0.5 0.33677764 0.33676743 2.79174062 -3.4049E-05 -2.5151E-06 -7.0216E-06 0.00303038

-0.5 0.33676743 0.33676668 2.79174062 -2.5151E-06 -1.858E-07 -5.1871E-07 0.00022385

BISECCIÓN


-0.5 0.5 0 2.52423281 1 2.52423281

0 0.5 0.25 1 0.29440958 0.29440958 100

0.25 0.5 0.375 0.29440958 -0.0100987 -0.00297315 33.3333333

0.25 0.375 0.3125 0.29440958 0.13708388 0.04035881 20

0.3125 0.375 0.34375 0.13708388 0.06214576 0.00851918 9.09090909

0.34375 0.375 0.359375 0.06214576 0.02567695 0.00159571 4.34782609

0.359375 0.375 0.3671875 0.02567695 0.00770124 0.00019774 2.12765957

0.3671875 0.375 0.37109375 0.00770124 -0.00122085 -9.4021E-06 1.05263158

0.3671875 0.37109375 0.36914063 0.00770124 0.00323468 2.4911E-05 0.52910053

0.36914063 0.37109375 0.37011719 0.00323468 0.00100553 3.2526E-06 0.26385224

0.37011719 0.37109375 0.37060547 0.00100553 -0.000108 -1.086E-07 0.13175231

0.37011719 0.37060547 0.37036133 0.00100553 0.00044868 4.5116E-07 0.06591958

0.37036133 0.37060547 0.3704834 0.00044868 0.00017032 7.6417E-08 0.03294893

0.3704834 0.37060547 0.37054443 0.00017032 3.115E-05 5.3053E-09 0.01647175

0.37054443 0.37060547 0.37057495 3.115E-05 -3.8429E-05 -1.1971E-09 0.0082352

0.37054443 0.37057495 0.37055969 3.115E-05 -3.6398E-06 -1.1338E-10 0.00411777

NEWTON RAPHSON


0 1 -3 0.333333333

0.33333333 0.086833638 -2.38421536 0.369753549 9.849862395

0.36975355 0.001835271 -2.28228789 0.370557686 0.21700708

0.37055769 9.35781E-07 -2.27995991 0.370558096 0.000110762

3. exsen(x)-0.5x=0

REGLA FALSA


1 3 8.89321185 1.78735529 1.33447113 3686.87082 6589.74806

8.89321185 3 2.99786617 3686.87082 1.33447113 1.37182957 5057.75843 196.651396

2.99786617 3 3.07622211 1.37182957 1.33447113 -0.12212489 -0.16753454 2.54714853

2.99786617 3.07622211 3.06981682 1.37182957 -0.12212489 0.00966933 0.01326467 0.20865381

3.06981682 3.07622211 3.07028676 0.00966933 -0.12212489 6.0067E-05 5.8081E-07 0.01530594

3.07028676 3.07622211 3.07028968 6.0067E-05 -0.12212489 3.7284E-07 2.2395E-11 9.5035E-05

BISECCIÓN


-1 0.5 -0.25 0.19044012 -0.0676784 -0.01288868

-1 -0.25 -0.625 0.19044012 -0.00068 -0.0001295 -60

-1 -0.625 -0.8125 0.19044012 0.08408561 0.01601327 -23.0769231

-0.8125 -0.625 -0.71875 0.08408561 0.03847483 0.00323518 -13.0434783

-0.71875 -0.625 -0.671875 0.03847483 0.01801882 0.00069327 -6.97674419

-0.671875 -0.625 -0.6484375 0.01801882 0.00844047 0.00015209 -3.61445783

-0.6484375 -0.625 -0.63671875 0.00844047 0.00382182 3.2258E-05 -1.8404908

-0.63671875 -0.625 -0.63085938 0.00382182 0.00155616 5.9473E-06 -0.92879257

-0.63085938 -0.625 -0.62792969 0.00155616 0.00043437 6.7595E-07 -0.46656299

-0.62792969 -0.625 -0.62646484 0.00043437 -0.00012375 -5.3751E-08 -0.23382697

-0.62792969 -0.62646484 -0.62719727 0.00043437 0.00015508 6.7362E-08 -0.11677696

-0.62719727 -0.62646484 -0.62683105 0.00015508 1.561E-05 2.4207E-09 -0.05842259

-0.62683105 -0.62646484 -0.62664795 1.561E-05 -5.4082E-05 -8.442E-10 -0.02921983

-0.62683105 -0.62664795 -0.6267395 1.561E-05 -1.924E-05 -3.0033E-10 -0.01460778

-0.62683105 -0.6267395 -0.62678528 1.561E-05 -1.8162E-06 -2.835E-11 -0.00730336

-0.62683105 -0.62678528 -0.62680817 1.561E-05 6.8964E-06 1.0765E-10 -0.00365155

NEWTON RAPHSON


-0.5 -0.04078629 -0.25850556 -0.65777722

-0.65777722 0.012203569 -0.40676298 -0.62777555 -4.77904437

-0.62777555 0.000375554 -0.38150658 -0.62679115 -0.15705355

-0.62679115 4.18867E-07 -0.38065532 -0.62679005 -0.00017556

4. 2x- e2x+ex=0

REGLA FALSA


0.2 0.5 0.39520783 0.12957806 -0.06956056 0.0707959 0.0091736

0.39520783 0.5 0.44806508 0.0707959 -0.06956056 0.01130749 0.00080052 11.7967786

0.44806508 0.5 0.45532695 0.01130749 -0.06956056 0.00139513 1.5775E-05 1.59487017

0.45532695 0.5 0.45620531 0.00139513 -0.06956056 0.00016641 2.3216E-07 0.19253646

0.45620531 0.5 0.45630983 0.00016641 -0.06956056 1.9768E-05 3.2894E-09 0.02290491

0.45630983 0.5 0.45632224 1.9768E-05 -0.06956056 2.3471E-06 4.6396E-11 0.00272006

BISECCIÓN


0.2 0.5 0.35 0.12957806 0.10531484 0.01364649

0.35 0.5 0.425 0.10531484 0.03994357 0.00420665 17.6470588

0.425 0.5 0.4625 0.03994357 -0.00882914 -0.00035267 8.10810811

0.425 0.4625 0.44375 0.03994357 0.01699137 0.0006787 4.22535211

0.44375 0.4625 0.453125 0.01699137 0.00444706 7.5562E-05 2.06896552

0.453125 0.4625 0.4578125 0.00444706 -0.00209861 -9.3327E-06 1.02389078

0.453125 0.4578125 0.45546875 0.00444706 0.00119721 5.3241E-06 0.51457976

0.45546875 0.4578125 0.45664063 0.00119721 -0.00044494 -5.3269E-07 0.2566296

0.45546875 0.45664063 0.45605469 0.00119721 0.00037757 4.5203E-07 0.12847966

0.45605469 0.45664063 0.45634766 0.00037757 -3.3324E-05 -1.2582E-08 0.06419859

0.45605469 0.45634766 0.45620117 0.00037757 0.00017221 6.5024E-08 0.0321096

0.45620117 0.45634766 0.45627441 0.00017221 6.9468E-05 1.1963E-08 0.01605222

0.45627441 0.45634766 0.45631104 6.9468E-05 1.8078E-05 1.2558E-09 0.00802547

0.45631104 0.45634766 0.45632935 1.8078E-05 -7.6215E-06 -1.3778E-10 0.00401257

NEWTON RAPHSON


0.4 0.066283769 -0.95925716 0.469099061

0.46909906 -0.01862133 -1.51219225 0.456784932 2.695826458

0.45678493 -0.00064795 -1.4074249 0.456324549 0.100889355

0.45632455 -8.8925E-07 -1.40356246 0.456323916 0.000138841

5. sen(x)+1-x2=0

REGLA FALSA


1 2 1.28697857 0.84147098 -2.09070257 0.30367953 0.25553751

1.28697857 2 1.3774111 0.30367953 -2.09070257 0.08409795 0.02553883 6.56539811

1.3774111 2 1.40148616 0.08409795 -2.09070257 0.0215378 0.00181128 1.71782357

1.40148616 2 1.407589 0.0215378 -2.09070257 0.00540444 0.0001164 0.43356705

1.407589 2 1.40911642 0.00540444 -2.09070257 0.00134916 7.2914E-06 0.10839597

1.40911642 2 1.40949748 0.00134916 -2.09070257 0.00033637 4.5382E-07 0.02703512

1.40949748 2 1.40959247 0.00033637 -2.09070257 8.3836E-05 2.82E-08 0.00673881

1.40959247 2 1.40961615 8.3836E-05 -2.09070257 2.0893E-05 1.7516E-09 0.00167947

BISECCIÓN


1 2 1.5 0.84147098 -0.25250501 -0.21247564

1 1.5 1.25 0.84147098 0.38648462 0.32521559 20

1.25 1.5 1.375 0.38648462 0.09026806 0.03488722 9.09090909

1.375 1.5 1.4375 0.09026806 -0.07527706 -0.00679511 4.34782609

1.375 1.4375 1.40625 0.09026806 0.00895371 0.00080823 2.22222222

1.40625 1.4375 1.421875 0.00895371 -0.03279682 -0.00029365 1.0989011

1.40625 1.421875 1.4140625 0.00895371 -0.01183038 -0.00010593 0.55248619

1.40625 1.4140625 1.41015625 0.00895371 -0.00141554 -1.2674E-05 0.27700831

1.40625 1.41015625 1.40820313 0.00895371 0.00377478 3.3798E-05 0.13869626

1.40820313 1.41015625 1.40917969 0.00377478 0.00118104 4.4582E-06 0.06930007

1.40917969 1.41015625 1.40966797 0.00118104 -0.0001169 -1.3806E-07 0.03463803

1.40917969 1.40966797 1.40942383 0.00118104 0.00053216 6.2851E-07 0.01732202

1.40942383 1.40966797 1.4095459 0.00053216 0.00020766 1.1051E-07 0.00866026

1.4095459 1.40966797 1.40960693 0.00020766 4.5386E-05 9.4246E-09 0.00432994

NEWTON RAPHSON


2 -2.09070257 -4.41614684 1.526577659

1.52657766 -0.33141684 -3.00895106 1.416434015 7.776122514

1.41643401 -0.01817554 -2.679118 1.409649863 0.481264994

1.40964986 -6.8755E-05 -2.65884981 1.409624004 0.001834465

1.409624 -9.987E-10 -2.65877256 1.409624004 2.66472E-08

6. f(x)=ex-3x

REGLA FALSA


0 1 0.78020272 1 -0.28171817 -0.15869362 -0.15869362

0 0.78020272 0.67334687 1 -0.15869362 -0.05925175 -0.05925175 15.8693619

0 0.67334687 0.63568162 1 -0.05925175 -0.01873605 -0.01873605 5.92517494

0 0.63568162 0.6239905 1 -0.01873605 -0.00561059 -0.00561059 1.87360458

0 0.6239905 0.62050908 1 -0.00561059 -0.00165262 -0.00165262 0.5610589

0 0.62050908 0.61948531 1 -0.00165262 -0.00048441 -0.00048441 0.16526163

0 0.61948531 0.61918537 1 -0.00048441 -0.00014179 -0.00014179 0.04844141

0 0.61918537 0.61909759 1 -0.00014179 -4.1484E-05 -4.1484E-05 0.01417881

0 0.61909759 0.61907191 1 -4.1484E-05 -1.2136E-05 -1.2136E-05 0.0041484

BISECCIÓN


0 1 0.5 1 0.14872127 0.14872127

0.5 1 0.75 0.14872127 -0.13299998 -0.01977993 33.3333333

0.5 0.75 0.625 0.14872127 -0.00675404 -0.00100447 20

0.5 0.625 0.5625 0.14872127 0.06755466 0.01004681 11.1111111

0.5625 0.625 0.59375 0.06755466 0.02951607 0.00199395 5.26315789

0.59375 0.625 0.609375 0.02951607 0.01115649 0.0003293 2.56410256

0.609375 0.625 0.6171875 0.01115649 0.00214465 2.3927E-05 1.26582278

0.6171875 0.625 0.62109375 0.00214465 -0.00231889 -4.9732E-06 0.62893082

0.6171875 0.62109375 0.61914063 0.00214465 -9.0663E-05 -1.9444E-07 0.31545741

0.6171875 0.61914063 0.61816406 0.00214465 0.00102611 2.2006E-06 0.15797788

0.61816406 0.61914063 0.61865234 0.00102611 0.0004675 4.7971E-07 0.0789266

0.61865234 0.61914063 0.61889648 0.0004675 0.00018836 8.8061E-08 0.03944773

0.61889648 0.61914063 0.61901855 0.00018836 4.8837E-05 9.1991E-09 0.01971998

0.61901855 0.61914063 0.61907959 4.8837E-05 -2.0917E-05 -1.0215E-09 0.00985902

0.61901855 0.61907959 0.61904907 4.8837E-05 1.3959E-05 6.8171E-10 0.00492975

NEWTON RAPHSON


1 -0.28171817 -0.28171817 0

0 1 -2 0.5 100

0.5 0.148721271 -1.35127873 0.610059655 18.04080209

0.61005965 0.010362228 -1.15945881 0.61899678 1.443807961

0.61899678 7.37235E-05 -1.14293594 0.619061283 0.010419585

0.61906128 3.86344E-09 -1.14281615 0.619061287 5.4609E-07

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FUNCIONES