tarea2apli3
9
n xo g(xo) Error 1 1 1.56508458 0.56508458 2 1.565084 58 1.79357287 9 0.22848829 9 3 1.793572 88 1.88594374 3 0.09237086 4 4 1.885943 74 1.92284784 4 0.03690410 1 5 1.922847 84 1.93750754 0.01465969 6 6 1.937507 54 1.94331693 0.00580939 La raíz se encontró en la 6 iteración, con un valor de 1.94331692989868 n xo g(xo) Error 1 1 2 1 2 2 1.75 0.25 3 1.75 1.73214285 7 0.01785714 3 4 1.732142 86 1.73205081 9.20471E- 05 La raíz se encontró en la 4 iteración, con un valor de 1.73205081001473 n xo g(xo) Error 1 0 0.33333333 3 0.33333333 3 2 0.333333 33 0.23849956 2 0.09483377 1 3 0.238499 56 0.26251296 4 0.02401340 2 4 0.262512 96 0.25623991 1 0.00627305 3 5 0.256239 91 0.25786540 7 0.00162549 6 6 0.257865 41 0.25744331 6 0.00042209 2 7 0.257443 32 0.25755286 0.00010954 4 8 0.257552 86 0.25752442 6 2.84338E- 05 9 0.257524 43 0.25753180 6 7.38014E- 06 La raíz se encontró en la 9 iteración, con un valor de 0.25753180626754
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Transcript of tarea2apli3
nxog(xo)Error
111.565084580.56508458
21.565084581.7935728790.228488299
31.793572881.8859437430.092370864
41.885943741.9228478440.036904101
51.922847841.937507540.014659696
61.937507541.943316930.00580939
La raz se encontr en la 6 iteracin, con un valor de 1.94331692989868
nxog(xo)Error
1121
221.750.25
31.751.7321428570.017857143
41.732142861.732050819.20471E-05
La raz se encontr en la 4 iteracin, con un valor de 1.73205081001473
nxog(xo)Error
100.3333333330.333333333
20.333333330.2384995620.094833771
30.238499560.2625129640.024013402
40.262512960.2562399110.006273053
50.256239910.2578654070.001625496
60.257865410.2574433160.000422092
70.257443320.257552860.000109544
80.257552860.2575244262.84338E-05
90.257524430.2575318067.38014E-06
La raz se encontr en la 9 iteracin, con un valor de 0.25753180626754
nxog(xo)Error
10.250.6542235640.404223564
20.654223560.8007597120.146536147
30.800759710.8616326250.060872913
40.861632620.8882608480.026628223
50.888260850.9001663310.011905483
60.900166330.9055407690.005374438
70.905540770.9079774280.002436659
80.907977430.9090843180.00110689
90.909084320.9095875850.000503267
100.909587590.9098164970.000228912
110.90981650.9099206360.00010414
120.909920640.9099680174.73807E-05
130.909968020.9099895752.15577E-05
140.909989570.9099993849.8087E-06
La raiz se encontro en la 14 iteracion, con un valor de 0.909999383517058
nxog(xo)Error
111.6709637480.670963748
21.670963751.8537696850.182805937
31.853769681.9215931410.067823457
41.921593141.9490003590.027407217
51.949000361.9604415340.011441175
61.960441531.9652816580.004840125
71.965281661.9673407210.002059062
81.967340721.9682187560.000878035
91.968218761.968593550.000374794
101.968593551.9687536010.000160052
111.96875361.9688219626.83609E-05
La raiz se encontro en la 11 iteracion, con un valor de 1.96882196218207
nxog(xo)Error
13.13.1609099170.060909917
23.160909923.1619826490.001072732
33.161982653.1619489743.36756E-05
La raiz se encontro en la 3 iteracion, con un valor de 3.16194897371649
nxog(xo)Error
141.1578212822.842178718
21.157821282.282204451.124383168
32.28220445-1.1601196383.442324088
4-1.16011964-2.2965489611.136429322
5-2.296548961.1270177623.423566723
61.127017762.1034705610.976452799
72.10347056-1.696309813.799780371
8-1.696309817.9253896589.621699469
97.92538966-13.9802176321.90560729
10-13.9802176-6.3190812397.66113639
11-6.31908124-0.0359113576.283169882
12-0.03591136-0.0359268031.54454E-05
La raiz se encontro en la 12 iteracion, con un valor de -3.59268028588592E-02
nPoP1P2Pn+1Error
111.259921051.312293841.32550960.3255096
21.32550961.324868311.324746521.324717960.00079164
31.324717961.324717961.324717961.324717964.0009E-09
117.3898E-10
La raiz se encontro en la 3 iteracion, con un valor de 1.32471795724474
nPoP1P2Pn+1Error
10.53.252.086538462.432432431.93243243
22.432432431.832882881.734824341.715650560.71678188
31.715650561.732129191.732050811.732051180.01640062
41.732051181.732050811.732050811.732050813.7287E-07
La raiz se encontro en la 4 iteracion, con un valor de 1.73205080756888
nPoP1P2Pn+1Error
100.50.678504050.777614770.77761477
20.777614770.707085360.704939580.704872250.07274252
30.704872250.704815430.70481220.7048126.025E-05
40.7048120.7048120.7048120.7048127.7181E-11
La raiz se encontro en la 4 iteracion, con un valor de 0.704812002001298
nPoP1P2Pn+1Error
10.250.654223560.800759710.884088740.63408874
20.884088740.898290490.904691840.909945070.02585633
30.909945070.909979130.909994630.910007576.2501E-05
40.910007570.910007570.910007570.910007573.7097E-10
La raiz se encontro en la 4 iteracion, con un valor de 0.910007572488709
01234
x =-2-1012
f (x) =0.1111110.333333333139
Xf(x)Col.1Col.2Col.3Col.4
-20.111111
-10.3333333330.666666833
011.3333333341.499999959
1321.8333333331.777777771
2901.51.6666666671.708333331
01234
x =-0.75-0.5-0.250
f (x) =-0.07181250-0.024750000.334937501.10100000
TABLA DE DIFERENCIAS DIVIDIDAS DE NEWTON
xf(x)Col.1Col.2Col.3Col.4
-0.75-0.0718125
-0.5-0.024750.18825
-0.250.33493751.438752.501
01.1013.064253.2511
DIFERENCIAS REGRESIVAS:
P(x) = 1.10100000 + 3.06425(x - 0) + 3.251(x - 0)(x - -0.25) + 1(x - 0)(x - -0.25)(x --0.5)
P(-0.33333333) = 0.174518524078519
01234
x =-0.100.20.3
f (x) =5.323.191
TABLA DE DIFERENCIAS DIVIDIDAS DE NEWTON
xf(x)Col.1Col.2Col.3Col.4
-0.15.3
02-33
0.23.195.95129.8333333
0.31-21.9-92.8333333-556.666667
DIFERENCIAS PROGRESIVAS:
P(x) = 5.3 + -33(x - -0.1) + 129.833333333333(x - -0.1)(x - 0) + -556.666666666667(x - -0.1)(x - 0)(x - 0.2)
01234
x =-0.100.20.30.35
f (x) =5.323.1910.97260
TABLA DE DIFERENCIAS DIVIDIDAS DE NEWTON
xf(x)Col.1Col.2Col.3Col.4
-0.15.3
02-33
0.23.195.95129.8333333
0.31-21.9-92.8333333-556.666667
0.350.9726-0.548142.3466667671.94285712730.243386
DIFERENCIAS PROGRESIVAS:
P(x) = 5.3 + -33(x - -0.1) + 129.833333333333(x - -0.1)(x - 0) + -556.666666666667(x - -0.1)(x - 0)(x - 0.2)+ 2730.24338624339(x - -0.1)(x - 0)(x - 0.2)(x - 0.3)
01234
x =00.20.40.60.8
f (x) =11.221401.491821.822122.22554
TABLA DE DIFERENCIAS DIVIDIDAS DE NEWTON
xf(x)Col.1Col.2Col.3Col.4
01
0.21.22141.107
0.41.491821.35210.61275
0.61.822121.65150.74850.22625
0.82.225542.01710.9140.2758333330.061979167
DIFERENCIAS REGRESIVAS:
P(x) = 2.22554 + 2.0171(x - 0.8) + 0.913999999999998(x - 0.8)(x - 0.6) + 0.275833333333324(x - 0.8)(x - 0.6)(x - 0.4)+ 6.19791666666443E-02(x - 0.8)(x - 0.6)(x - 0.4)(x - 0.2)
P(0.05) = 1.05125879882813
DIFERENCIAS PROGRESIVAS:
P(x) = 1 + 1.107(x - 0) + 0.612749999999998(x - 0)(x - 0.2) + 0.226250000000009(x - 0)(x - 0.2)(x - 0.4)+ 6.19791666666443E-02(x - 0)(x - 0.2)(x - 0.4)(x - 0.6)
P(0.05) = 1.05125879882813
01234
x =00.20.40.6
f (x) =15213051
TABLA DE DIFERENCIAS DIVIDIDAS DE NEWTON
xf(x)Col.1Col.2Col.3Col.4
015
0.22130
0.4304537.5
0.651105150187.5
DIFERENCIAS REGRESIVAS:
P(x) = 51 + 105(x - 0.6) + 150(x - 0.6)(x - 0.4) + 187.5(x - 0.6)(x - 0.4)(x - 0.2)
P(0.3) = 24.5625
DIFERENCIAS PROGRESIVAS:
P(x) = 15 + 30(x - 0) + 37.5(x - 0)(x - 0.2) + 187.5(x - 0)(x - 0.2)(x - 0.4)
P(0.3) = 24.5625
01234
x =19501960197019801990
f (x) =151326179323203302226542249633
TABLA DE DIFERENCIAS DIVIDIDAS DE NEWTON
xf(x)Col.1Col.2Col.3Col.4
1950151326
19601793232799.7
19702033022397.9-20.09
19802265422324-3.6950.5465
19902496332309.1-0.7450.098333333-0.01120417
DIFERENCIAS REGRESIVAS:
P(x) = 249633 + 2309.1(x - 1990) + -0.745000000000005(x - 1990)(x - 1980) + 9.83333333333333E-02(x - 1990)(x - 1980)(x - 1970)+ -1.12041666666667E-02(x - 1990)(x - 1980)(x - 1970)(x - 1960)
P(1940) = 113343
DIFERENCIAS PROGRESIVAS:
P(x) = 151326 + 2799.7(x - 1950) + -20.09(x - 1950)(x - 1960) + 0.546499999999999(x - 1950)(x - 1960)(x - 1970)+ -1.12041666666667E-02(x - 1950)(x - 1960)(x - 1970)(x - 1980)
P(1940) = 113343
01234
x =19501960197019801990
f (x) =151326179323203302226542249633
TABLA DE DIFERENCIAS DIVIDIDAS DE NEWTON
xf(x)Col.1Col.2Col.3Col.4
1950151326
19601793232799.7
19702033022397.9-20.09
19802265422324-3.6950.5465
19902496332309.1-0.7450.098333333-0.01120417
DIFERENCIAS REGRESIVAS:
P(x) = 249633 + 2309.1(x - 1990) + -0.745000000000005(x - 1990)(x - 1980) + 9.83333333333333E-02(x - 1990)(x - 1980)(x - 1970)+ -1.12041666666667E-02(x - 1990)(x - 1980)(x - 1970)(x - 1960)
P(1975) = 214914.4765625
DIFERENCIAS PROGRESIVAS:
P(x) = 151326 + 2799.7(x - 1950) + -20.09(x - 1950)(x - 1960) + 0.546499999999999(x - 1950)(x - 1960)(x - 1970)+ -1.12041666666667E-02(x - 1950)(x - 1960)(x - 1970)(x - 1980)
P(1975) = 214914.4765625
01234
x =19501960197019801990
f (x) =151326179323203302226542249633
TABLA DE DIFERENCIAS DIVIDIDAS DE NEWTON
xf(x)Col.1Col.2Col.3Col.4
1950151326
19601793232799.7
19702033022397.9-20.09
19802265422324-3.6950.5465
19902496332309.1-0.7450.098333333-0.01120417
DIFERENCIAS REGRESIVAS:
P(x) = 249633 + 2309.1(x - 1990) + -0.745000000000005(x - 1990)(x - 1980) + 9.83333333333333E-02(x - 1990)(x - 1980)(x - 1970)+ -1.12041666666667E-02(x - 1990)(x - 1980)(x - 1970)(x - 1960)
P(2020) = 283577
DIFERENCIAS PROGRESIVAS:
P(x) = 151326 + 2799.7(x - 1950) + -20.09(x - 1950)(x - 1960) + 0.546499999999999(x - 1950)(x - 1960)(x - 1970)+ -1.12041666666667E-02(x - 1950)(x - 1960)(x - 1970)(x - 1980)
P(2020) = 283577
