Ejercicios MA3

Ejercicio 3c
n
a
b
p
f(a)
f(b)
f(p)
f(a)*f(p)
Error
1
3.2
4
3.6
-0.112
2
0.336
-0.037632
0.4
2
3.2
3.6
3.4
-0.112
0.336
-0.016
0.001792
0.2
3
3.4
3.6
3.5
-0.016
0.336
0.125
-0.002
0.1
4
3.4
3.5
3.45
-0.016
0.125
0.046125
-0.000738
0.05
5
3.4
3.45
3.425
-0.016
0.046125
0.01301563
-0.00020825
0.025
6
3.4
3.425
3.4125
-0.016
0.013015625
-0.00199805
3.1969E-05
0.0125
7
3.4125
3.425
3.41875-0.00199805
0.013015625
0.00538159
-1.0753E-05
0.00625












La raíz se encontró en la 7 iteración, con un valor de 3.41875


Ejercicio 4ª
n
a
b
p
f(a)
f(b)
f(p)
f(a)*f(p)
Error
1
-2
-1
-1.5
12
-1
0.8125
9.75
0.5
2
-1.5
-1
-1.25
0.8125
-1
-0.90234375
-0.7331543
0.25
3
-1.5
-1.25
-1.375
0.8125
-0.90234375
-0.28881836
-0.23466492
0.125
4
-1.5
-1.375
-1.4375
0.8125
-0.28881836
0.19532776
0.15870380.0625
5
-1.4375
-1.375
-1.40625
0.19532776
-0.28881836
-0.06266689
-0.01224058
0.03125
6
-1.4375
-1.40625
-1.421875
0.19532776
-0.06266689
0.06226259
0.01216161
0.015625
7
-1.421875
-1.40625
-1.4140625
0.06226259
-0.06266689
-0.00120812
-7.5221E-05
0.0078125












La raíz se encontró en la 7 iteración, con un valor de -1.4140625


Ejercicio 5-b
n
a
b
p
f(a)
f(b)
f(p)
f(a)*f(p)
Error
1
0
1
0.5-1
2.718281828
0.89872127
-0.89872127
0.5
2
0
0.5
0.25
-1
0.898721271
-0.02847458
0.02847458
0.25
3
0.25
0.5
0.375
-0.02847458
0.898721271
0.43936641
-0.01251078
0.125
4
0.25
0.375
0.3125
-0.02847458
0.439366415
0.20668169
-0.00588518
0.0625
5
0.25
0.3125
0.28125
-0.02847458
0.206681691
0.0894332
-0.00254657
0.03125
6
0.25
0.28125
0.265625
-0.02847458
0.089433196
0.03056423
-0.0008703
0.015625
70.25
0.265625
0.2578125
-0.02847458
0.030564234
0.00106637
-3.0364E-05
0.0078125
8
0.25
0.2578125
0.25390625
-0.02847458
0.001066368
-0.01369868
0.00039006
0.00390625
9
0.25390625
0.2578125
0.25585938
-0.01369868
0.001066368
-0.00631481
8.6505E-05
0.00195313
10
0.25585938
0.2578125
0.25683594
-0.00631481
0.001066368
-0.00262388
1.6569E-05
0.00097656
11
0.25683594
0.2578125
0.25732422
-0.002623880.001066368
-0.00077867
2.0431E-06
0.00048828
12
0.25732422
0.2578125
0.25756836
-0.00077867
0.001066368
0.00014387
-1.1203E-07
0.00024414
13
0.25732422
0.25756836
0.25744629
-0.00077867
0.000143868
-0.0003174
2.4715E-07
0.00012207
14
0.25744629
0.25756836
0.25750732
-0.0003174
0.000143868
-8.6763E-05
2.7538E-08
6.1035E-05
15
0.25750732
0.25756836
0.25753784
-8.6763E-05
0.000143868
2.8553E-05-2.4773E-09
3.0518E-05
16
0.25750732
0.25753784
0.25752258
-8.6763E-05
2.8553E-05
-2.9105E-05
2.5252E-09
1.5259E-05
17
0.25752258
0.25753784
0.25753021
-2.9105E-05
2.8553E-05
-2.7598E-07
8.0325E-12
7.6294E-06












La raiz se encontro en la 17 iteracion, con un valor de 0.257530212402344


Ejercicio 5-d {0.2,0.3}












{1.2,1.3}
n
a
b
p
f(a)
f(b)
f(p)
f(a)*f(p)
Error
1
1.2
1.3
1.250.15482931
-0.13225152
0.01915295
0.00296544
0.05
2
1.25
1.3
1.275
0.01915295
-0.13225152
-0.05458535
-0.00104547
0.025
3
1.25
1.275
1.2625
0.01915295
-0.05458535
-0.01722489
-0.00032991
0.0125
4
1.25
1.2625
1.25625
0.01915295
-0.01722489
0.00108689
2.0817E-05
0.00625
5
1.25625
1.2625
1.259375
0.00108689
-0.01722489
-0.00803829
-8.7368E-06
0.003125
6
1.25625
1.259375
1.2578125
0.00108689
-0.00803829-0.00346802
-3.7694E-06
0.0015625
7
1.25625
1.2578125
1.25703125
0.00108689
-0.00346802
-0.00118864
-1.2919E-06
0.00078125
8
1.25625
1.25703125
1.25664063
0.00108689
-0.00118864
-5.0396E-05
-5.4775E-08
0.00039062
9
1.25625
1.25664063
1.25644531
0.00108689
-5.0396E-05
0.00051837
5.6341E-07
0.00019531
10
1.25644531
1.25664063
1.25654297
0.00051837
-5.0396E-05
0.00023402
1.2131E-07
9.7656E-05
111.25654297
1.25664063
1.2565918
0.00023402
-5.0396E-05
9.1818E-05
2.1487E-08
4.8828E-05
12
1.2565918
1.25664063
1.25661621
9.1818E-05
-5.0396E-05
2.0713E-05
1.9018E-09
2.4414E-05
13
1.25661621
1.25664063
1.25662842
2.0713E-05
-5.0396E-05
-1.4841E-05
-3.074E-10
1.2207E-05
14
1.25661621
1.25662842
1.25662231
2.0713E-05
-1.4841E-05
2.936E-06
6.0813E-11
6.1035E-06












La raiz se encontro en la 14...