Lista de Exerc cios
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Lista de Exercícios – Método de BissecãoExercício 1
a) f(x) n x3-x-1
= a b
xm
f(a)
f(b)
f(xm)
Erro
1
1.00000 2.00000 1.50000 -1.00000 5.00000 0.87500 0.50000
2
1.00000 1.50000 1.25000 -1.00000 0.87500 -0.29688 0.25000
3
1.25000 1.50000 1.37500 -0.29688 0.87500 0.22461 0.12500
4
1.25000 1.37500 1.31250 -0.29688 0.22461 -0.05151 0.06250
5
1.31250 1.37500 1.34375 -0.05151 0.22461 0.08261 0.03125
6
1.31250 1.34375 1.32813 -0.05151 0.08261 0.01458 0.01563
7
1.31250 1.32813 1.32031 -0.05151 0.01458 -0.01871 0.00781
8
1.32031 1.32813 1.32422 -0.01871 0.01458 -0.00213 0.00391
9
1.32422 1.32813 1.32617 -0.00213 0.01458 0.00621 0.00195
b) f(x) n a
=
x.log(x)-1 b xm
f(a)
f(b)
f(xm)
Erro
1
2.00000 3.00000 2.50000 -0.39794 0.43136 -0.00515 0.50000
2
2.50000 3.00000 2.75000 -0.00515 0.43136 0.20816 0.25000
3
2.50000 2.75000 2.62500 -0.00515 0.20816 0.10021 0.12500
4
2.50000 2.62500 2.56250 -0.00515 0.10021 0.04720 0.06250
5
2.50000 2.56250 2.53125 -0.00515 0.04720 0.02094 0.03125
6
2.50000 2.53125 2.51563 -0.00515 0.02094 0.00787 0.01563
7
2.50000 2.51563 2.50781 -0.00515 0.00787 0.00136 0.00781
8
2.50000 2.50781 2.50391 -0.00515 0.00136 -0.00190 0.00391
9
2.50391 2.50781 2.50586 -0.00190 0.00136 -0.00027 0.00195
Exercício 2
n
a
f(x) =
b
xm
f(a)
f(b)
x3-3x-1
f(xm)
Erro
1
1.50000 2.00000 1.75000 0.87500 5.00000 2.60938 0.25000
2
1.75000 2.00000 1.87500 2.60938 5.00000 3.71680 0.12500
3
1.87500 2.00000 1.93750 3.71680 5.00000 4.33569 0.06250
4
1.93750 2.00000 1.96875 4.33569 5.00000 4.66208 0.03125
Exercício 3 n a
f(x) = b xm
f(a)
f(b)
e2x- ex-2 f(xm) Erro
1
0.00000 1.00000 0.50000 1.00000 -0.50000 0.20711 0.50000
2
0.50000 1.00000 0.75000 0.20711 -0.50000 -0.15540 0.25000
3
0.50000 0.75000 0.62500 0.20711 -0.15540 0.02342 0.12500
4
0.62500 0.75000 0.68750 0.02342 -0.15540 -0.06657 0.06250
5
0.62500 0.68750 0.65625 0.02342 -0.06657 -0.02172 0.03125
6
0.62500 0.65625 0.64063 0.02342