metodostallerregla falsa.xlsx
TRANSCRIPT
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8/18/2019 METODOSTALLERREGLA FALSA.xlsx
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METODO DE BISECCION INT(2,3)
a m b f(a) f(m) ERR
2 2.5 3 -1.2 7.125
2 2.25 2.5 -1.2 2.16367187 10
2 2.125 2.25 -1.2 0.26802979 5.55555556
2 2.0625 2.125 -1.2 -0.52035789 2.941176472.0625 2.09375 2.125 -0.52035789 -0.13968197 1.51515152
2.09375 2.109375 2.125 -0.13968197 0.0608074 0.74626866
2.09375 2.1015625 2.109375 -0.13968197 -0.04028069 0.37037037
2.1015625 2.10546875 2.109375 -0.04028069 0.01005271 0.18587361
2.1015625 2.10351563 2.10546875 -0.04028069 -0.01516668 0.09276438
2.10351563 2.10449219 2.10546875 -0.01516668 -0.00257015 0.04642526
METODO DE ! RE"! #!S!
a m b f(a) f(m) f(b)
2 2.05607477 3 -1.2 -0.59526046 20.2
2.05607477 2.08309445 3 -0.59526046 -0.2725313 20.2
2.08309445 2.09530034 3 -0.2725313 -0.12009074 20.2
2.09530034 2.10064707 3 -0.12009074 -0.05201534 20.2
2.10064707 2.10295697 3 -0.05201534 -0.02236081 20.2
2.10295697 2.10394887 3 -0.02236081 -0.00958151 20.2
INTER$!O (2-3)
%. ITER!CIONER BISECCION %. ITER!CIONER RE"! #!
1 10 1 1.31141392
2 5.55555556 2 0.58594991
3 2.94117647 3 0.25517728
4 1.51515152 4 0.10996139
5 0.74626866 5 0.04716703
6 0.37037037
7 0.18587361
8 0.09276438
9 0.04642526
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INTER$!O (5-6)
%. ITER!CIONER BISECCION %.ITER!CION ER RE"! #!
1 4.54545455 1 0.52076903
2 2.38095238 2 0.15155945
3 1.2195122 3 0.043584394 0.61728395
5 0.30674847
6 0.1529052
7 0.07633588
8 0.03813883
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S!
0 1 2 3 4 5 6 7 8 90
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
'ITER!CIONES $S )ERROR RE!TI$
NMERO DE ITER!CIONES
ERROR RE!TI$O
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f(m) ERR
-34.8
-10.4878906 4.54545455 SI"!
-0.12425537 2.38095238 SI"!
4.59379616 1.2195122SI"!2.27367214 0.61728395 SI"!
1.08441997 0.30674847 SI"!
0.48250821 0.1529052SI"!
0.17973264 0.07633588 SI"!
0.02789015 0.03813883 &!RE
f(a) f(m) f(b) ERR
9 2.85317641 -95.6
2.85317641 0.84203624 -95.6 0.52076903SI"!
0.84203624 0.24313053 -95.6 0.15155945SI"!
0.24313053 0.06975536 -95.6 0.04358439&!RE
!N!ISIS
#!S!
ECCION
E* +a* a/ m b++* a/a* * ma *m a+*(9) m*a * /m /a fa/a +* fa/a /a * *mm* a+*(6) aa m*a /aa+ /a f*+*.
E/ m b++* *a /a ma, ma/a / *a /m /a +* fa/a
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ER BISECCION
ERR RE"! #!S!
E/ m: m; aa ab/+ /aa+ a/ /a f*+* /m /a
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!N!ISIS
a +*
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SI"!
SI"!
SI"!SI"!
SI"!
SI"!
SI"!
SI"!
SI"!
SI"!
&!RE
ERR
11.9352402 SI"!
5.39765658 SI"!
2.29062986 SI"!
0.94583087 SI"!
0.38612266 SI"!
0.15689565 SI"!
0.06363149 SI"!
0.02578687 SI"!
0.01044695 SI"!
0.00423181&!RE
S!
0 2 4 6 8 10 120
5
10
15
20
25
30
35
'ITER!CIONES $S )ERROR RE!TI
ERROR RE!TI$O
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METODO DE ! RE"! #!S!
a m b f(a) f(m) f(b)
-0.5 -0.19512195 0 -3.125 0.04649583 2
-0.5 -0.19959163 -0.19512195 -3.125 0.00157683 0.04649583
-0.5 -0.19974313 -0.19959163 -3.125 5.3964E-005 0.00157683
-0.5 -0.19974832 -0.19974313 -3.125 1.8474E-006 5.3964E-005
a m b f(a) f(m) f(b)
1 1.19428571 1.5 8.5 5.08792224 -13.375
1.19428571 1.27853297 1.5 5.08792224 2.04144775 -13.375
1.27853297 1.30785966 1.5 2.04144775 0.680755 -13.375
1.30785966 1.31716549 1.5 0.680755 0.21258321 -13.375
1.31716549 1.32002601 1.5 0.21258321 0.06500804 -13.375
1.32002601 1.32089653 1.5 0.06500804 0.01975164 -13.3751.32089653 1.32116063 1.5 0.01975164 0.00598944 -13.375
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ERR INTER$!O (0,5-0)
2.29070892 SI"!
0.07590766 SI"!
0.00259578&!RE
ERR INTER$!O (1-1,5)
7.05419597 SI"!
2.29377653 SI"!
0.71153141 SI"!
0.21717237 SI"!
0.06594697 SI"!0.01999419&!RE
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METODO DE BISECCION
a m b f(a) f(m) ERR
-2.5 -2.25 -2 85.6581783 -2.3016724
-2.5 -2.375 -2.25 85.6581783 65.7261759 5.55555556
-2.375 -2.3125 -2.25 65.7261759 31.3879684 2.63157895
-2.3125 -2.28125 -2.25 31.3879684 13.7854986 1.35135135
-2.28125 -2.265625 -2.25 13.7854986 5.48361038 0.68493151-2.265625 -2.2578125 -2.25 5.48361038 1.51890579 0.34482759
-2.2578125 -2.25390625 -2.25 1.51890579 -0.41026225 0.17301038
-2.2578125 -2.25585938 -2.25390625 1.51890579 0.54970664 0.08665511
-2.25585938 -2.25488281 -2.25390625 0.54970664 0.06855513 0.04329004
-2.25488281 -2.25439453 -2.25390625 0.06855513 -0.17114697 0.0216544
-2.25488281 -2.25463867 -2.25439453 0.06855513 -0.05136907 0.01082954
-2.25488281 -2.25476074 -2.25463867 0.06855513 0.00857477 0.00541419
-2.25476074 -2.25469971 -2.25463867 0.00857477 -0.02140172 0.00270695
a m b f(a) f(m) ERR
-2 -1.75 -1.5 -25.0033267 15.1871606
-2 -1.875 -1.75 -25.0033267 1.53537019 7.14285714
-2 -1.9375 -1.875 -25.0033267 -11.2888825 3.33333333
-1.9375 -1.90625 -1.875 -11.2888825 -4.54912252 1.61290323
-1.90625 -1.890625 -1.875 -4.54912252 -1.40403049 0.81967213
-1.890625 -1.8828125 -1.875 -1.40403049 0.09359505 0.41322314
-1.890625 -1.88671875 -1.8828125 -1.40403049 -0.64849505 0.20746888
-1.88671875 -1.88476563 -1.8828125 -0.64849505 -0.27573588 0.10351967
-1.88476563 -1.88378906 -1.8828125 -0.27573588 -0.0906378 0.05181347
-1.88378906 -1.88330078 -1.8828125 -0.0906378 0.00158728 0.02592017
-1.88378906 -1.88354492 -1.88330078 -0.0906378 -0.04449816 0.01296344
-1.88354492 -1.88342285 -1.88330078 -0.04449816 -0.02144865 0.00648088
-1.88342285 -1.88336182 -1.88330078 -0.02144865 -0.00992899 0.00324065
a m b f(a) f(m) ERR
-1.5 -1.35 -1.2 4.9292734 -0.64711018
-1.5 -1.425 -1.35 4.9292734 1.27700576 5.55555556
-1.425 -1.3875 -1.35 1.27700576 0.09819327 2.63157895
-1.3875 -1.36875 -1.35 0.09819327 -0.32642875 1.35135135
-1.3875 -1.378125 -1.36875 0.09819327 -0.12746968 0.68493151
-1.3875 -1.3828125 -1.378125 0.09819327 -0.01801458 0.34013605
-1.3875 -1.38515625 -1.3828125 0.09819327 0.03924089 0.16949153
-1.38515625 -1.38398438 -1.3828125 0.03924089 0.01040157 0.08460237
-1.38398438 -1.38339844 -1.3828125 0.01040157 -0.00385934 0.042337
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a m b f(a) f(m) ERR
-1.2 -1.1 -1 -0.48600004 0.74083941
-1.2 -1.15 -1.1 -0.48600004 0.11806321 4.54545455
-1.2 -1.175 -1.15 -0.48600004 -0.19390608 2.17391304
-1.175 -1.1625 -1.15 -0.19390608 -0.03934325 1.06382979
-1.1625 -1.15625 -1.15 -0.03934325 0.03912768 0.53763441
-1.1625 -1.159375 -1.15625 -0.03934325 -0.00018081 0.27027027
-1.159375 -1.1578125 -1.15625 -0.00018081 0.01945708 0.13477089
-1.159375 -1.15859375 -1.1578125 -0.00018081 0.00963381 0.06747638-1.159375 -1.15898438 -1.15859375 -0.00018081 0.00472539 0.03371544
a m b f(a) f(m) ERR
1 1.25 1.5 1.0100075 -0.91912215
1 1.125 1.25 1.0100075 0.20571842 10
1.125 1.1875 1.25 0.20571842 -0.31513833 5.55555556
1.125 1.15625 1.1875 0.20571842 -0.04447556 2.63157895
1.125 1.140625 1.15625 0.20571842 0.08315871 1.35135135
1.140625 1.1484375 1.15625 0.08315871 0.01997867 0.68493151
1.1484375 1.15234375 1.15625 0.01997867 -0.01208884 0.34013605
1.1484375 1.15039063 1.15234375 0.01997867 0.00398478 0.16949153
1.15039063 1.15136719 1.15234375 0.00398478 -0.00404206 0.08488964
1.15039063 1.15087891 1.15136719 0.00398478 -2.615E-005 0.04240882
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METODO DE
a m
-2.5 -2.11297211
SI"! -2.5 -2.23095266
SI"! -2.5 -2.26140558
SI"! -2.26140558 -2.2543034
SI"! -2.26140558 -2.25473626SI"! -2.26140558 -2.25474317
SI"!
SI"!
SI"!
SI"!
SI"!
SI"!
&!RE
a m
-2 -1.58233955
SI"! -2 -1.7036386
SI"! -2 -1.8181427
SI"! -2 -1.87029416
SI"! -2 -1.88154683
SI"! -2 -1.88309477
SI"! -2 -1.88328351
SI"! -2 -1.88330612
SI"! -2 -1.88330883
SI"!
SI"!
SI"!
&!RE
a m
-1.5 -1.22692385
SI"! -1.5 -1.26327241
SI"! -1.5 -1.30334476
SI"! -1.5 -1.33764457
SI"! -1.5 -1.36043288
SI"! -1.5 -1.3728443
SI"! -1.5 -1.37881311
SI"! -1.5 -1.38150129
&!RE -1.5 -1.38267493
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-1.5 -1.38318026
-1.5 -1.38339653
-1.5 -1.38348884
-1.5 -1.38352821
-1.5 -1.38354498
-1.5 -1.38355213
a m
-1.2 -1.15586508
SI"! -1.2 -1.15952744
SI"! -1.2 -1.15952744
SI"!
SI"!
SI"!
SI"!
SI"!&!RE
a m
1 1.09635398
SI"! 1.09635398 1.13259736
SI"! 1.13259736 1.14491358
SI"! 1.14491358 1.1489487
SI"! 1.1489487 1.15025475
SI"! 1.15025475 1.15067581
SI"! 1.15067581 1.15081139
SI"! 1.15081139 1.15085502
SI"! 1.15085502 1.15086906
&!RE 1.15086906 1.15087358
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! RE"! #!S!
b f(a) f(m) f(b) ERR
-2 85.6581783 -37.5621579 -25.0033267
-2.11297211 85.6581783 -10.9329541 -37.5621579 5.58363019SI"!
-2.23095266 85.6581783 3.32528284 -10.9329541 1.36501877 SI"!
-2.23095266 3.32528284 -0.21582101 -10.9329541 0.31406047SI"!
-2.2543034 3.32528284 -0.0034524 -0.21582101 0.01920147 SI"!-2.25473626 3.32528284 -5.501E-005 -0.0034524 0.00030678 &!RE
b f(a) f(m) f(b) ERR
-1.5 -25.0033267 10.233721 4.9292734
-1.58233955 -25.0033267 15.7430223 10.233721 7.66580436SI"!
-1.7036386 -25.0033267 10.0532088 15.7430223 6.72114983 SI"!
-1.8181427 -25.0033267 2.37523672 10.0532088 2.86839182 SI"!
-1.87029416 -25.0033267 0.33106803 2.37523672 0.60165268 SI"!
-1.88154683 -25.0033267 0.04043262 0.33106803 0.0822694SI"!
-1.88309477 -25.0033267 0.00484494 0.04043262 0.01002292 SI"!
-1.88328351 -25.0033267 0.0005792 0.00484494 0.00120067 SI"!
-1.88330612 -25.0033267 6.9224E-005 0.0005792 0.00014353 &!RE
b f(a) f(m) f(b) ERR
-1.2 4.9292734 -0.75686981 -0.48600004
-1.22692385 4.9292734 -1.00443597 -0.75686981 2.96257635 SI"!
-1.26327241 4.9292734 -1.0413766 -1.00443597 3.17210722SI"!
-1.30334476 4.9292734 -0.80484421 -1.0413766 2.63167594 SI"!
-1.33764457 4.9292734 -0.48113693 -0.80484421 1.70361442 SI"!
-1.36043288 4.9292734 -0.24278126 -0.48113693 0.91231432 SI"!
-1.3728443 4.9292734 -0.11182202 -0.24278126 0.43477703 SI"!
-1.37881311 4.9292734 -0.04930905 -0.11182202 0.19496319 SI"!
-1.38150129 4.9292734 -0.02132272 -0.04930905 0.08495389 SI"!
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