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Esta é uma pré-visualização de arquivo. Entre para ver o arquivo original
1 a) Método Bisseção f(X) =(x^3) + (3x^2) + 1 |f(x)| < 0,01 Intervalo: [-4 ; 2] k a b x f(a) f(b) f(x) 0 -4.000 2.000 -1.000 -15.000 21.000 3.000 1 -4.000 -1.000 -2.500 -15.000 3.000 4.125 2 -4.000 -2.500 -3.250 -15.000 4.125 -1.641 3 -3.250 -2.500 -2.875 -1.641 4.125 2.033 4 -3.250 -2.875 -3.063 -1.641 2.033 0.414 5 -3.250 -3.063 -3.156 -1.641 0.414 -0.557 6 -3.156 -3.063 -3.109 -0.557 0.414 -0.057 7 -3.109 -3.063 -3.086 -0.057 0.414 0.182 8 -3.109 -3.086 -3.098 -0.057 0.182 0.063 9 -3.109 -3.098 -3.104 -0.057 0.063 0.003 10 -3.109 -3.104 -3.106 -0.057 0.003 -0.027 11 -3.106 -3.104 -3.105 -0.027 0.003 -0.012 12 -3.105 -3.104 -3.104 -0.012 0.003 -0.005 13 -3.104 -3.104 -3.104 -0.005 0.003 -0.001 14 -3.104 -3.104 -3.104 -0.001 0.003 0.001 15 -3.104 -3.104 -3.104 -0.001 0.001 0.000 16 -3.104 -3.104 -3.104 -0.001 0.000 -0.000 1 b) Método Bisseção f(X) = (e^-x) - 3x |f(x)| < 0,01 Intervalo: [-2 ; 2] k a b x f(a) f(b) f(x) 0 -2.000 2.000 0.000 13.389 -5.865 1.000 1 0.000 2.000 1.000 1.000 -5.865 -2.632 2 0.000 1.000 0.500 1.000 -2.632 -0.893 3 0.000 0.500 0.250 1.000 -0.893 0.029 4 0.250 0.500 0.375 0.029 -0.893 -0.438 5 0.250 0.375 0.313 0.029 -0.438 -0.206 6 0.250 0.313 0.281 0.029 -0.206 -0.089 7 0.250 0.281 0.266 0.029 -0.089 -0.030 8 0.250 0.266 0.258 0.029 -0.030 -0.001 9 0.250 0.258 0.254 0.029 -0.001 0.014 10 0.254 0.258 0.256 0.014 -0.001 0.007 11 0.256 0.258 0.257 0.007 -0.001 0.003 12 0.257 0.258 0.257 0.003 -0.001 0.001 13 0.257 0.258 0.258 0.001 -0.001 0.000 14 0.258 0.258 0.258 0.000 -0.001 -0.000 15 0.258 0.258 0.258 0.000 -0.000 -0.000 16 0.258 0.258 0.258 0.000 -0.000 0.000 1 c) Método Bisseção f(X) = (5 - x).(e^x) - 5 (x>0) |f(x)| < 0,01 Intervalo: [4 ; 5] k a b x f(a) f(b) f(x) 0 -1.000 2.000 0.500 -2.793 17.167 2.419 1 -1.000 0.500 -0.250 -2.793 2.419 -0.911 2 -0.250 0.500 0.125 -0.911 2.419 0.524 3 -0.250 0.125 -0.063 -0.911 0.524 -0.244 4 -0.063 0.125 0.031 -0.244 0.524 0.126 5 -0.063 0.031 -0.016 -0.244 0.126 -0.062 6 -0.016 0.031 0.008 -0.062 0.126 0.031 7 -0.016 0.008 -0.004 -0.062 0.031 -0.016 8 -0.004 0.008 0.002 -0.016 0.031 0.008 9 -0.004 0.002 -0.001 -0.016 0.008 -0.004 10 -0.001 0.002 0.000 -0.004 0.008 0.002 11 -0.001 0.000 -0.000 -0.004 0.002 -0.001 12 -0.000 0.000 0.000 -0.001 0.002 0.000 13 -0.000 0.000 -0.000 -0.001 0.000 -0.000 14 -0.000 0.000 0.000 -0.000 0.000 0.000 15 -0.000 0.000 -0.000 -0.000 0.000 -0.000 16 -0.000 0.000 0.000 -0.000 0.000 0.000 1 d) Método Bisseção f(X) = x - cos(x) |f(x)| < 0,01 Intervalo: [0 ; 1] k a b x f(a) f(b) f(x) 0 0.000 1.000 0.500 -1.000 0.460 -0.378 1 0.500 1.000 0.750 -0.378 0.460 0.018 2 0.500 0.750 0.625 -0.378 0.018 -0.186 3 0.625 0.750 0.688 -0.186 0.018 -0.085 4 0.688 0.750 0.719 -0.085 0.018 -0.034 5 0.719 0.750 0.734 -0.034 0.018 -0.008 6 0.734 0.750 0.742 -0.008 0.018 0.005 7 0.734 0.742 0.738 -0.008 0.005 -0.001 8 0.738 0.742 0.740 -0.001 0.005 0.002 9 0.738 0.740 0.739 -0.001 0.002 0.000 10 0.738 0.739 0.739 -0.001 0.000 -0.001 11 0.739 0.739 0.739 -0.001 0.000 -0.000 12 0.739 0.739 0.739 -0.000 0.000 0.000 13 0.739 0.739 0.739 -0.000 0.000 -0.000 14 0.739 0.739 0.739 -0.000 0.000 0.000 15 0.739 0.739 0.739 -0.000 0.000 0.000 16 0.739 0.739 0.739 -0.000 0.000 -0.000 1 e) Método Bisseção f(X) = 1 - x - sen(x) (x>0) |f(x)| < 0,01 Intervalo: [-1 ; 1] k a b x f(a) f(b) f(x) 0 -1.000 1.000 0.000 2.841 -0.841 1.000 1 0.000 1.000 0.500 1.000 -0.841 0.021 2 0.500 1.000 0.750 0.021 -0.841 -0.432 3 0.500 0.750 0.625 0.021 -0.432 -0.210 4 0.500 0.625 0.563 0.021 -0.210 -0.096 5 0.500 0.563 0.531 0.021 -0.096 -0.038 6 0.500 0.531 0.516 0.021 -0.038 -0.009 7 0.500 0.516 0.508 0.021 -0.009 0.006 8 0.508 0.516 0.512 0.006 -0.009 -0.001 9 0.508 0.512 0.510 0.006 -0.001 0.002 10 0.510 0.512 0.511 0.002 -0.001 0.000 11 0.511 0.512 0.511 0.000 -0.001 -0.000 12 0.511 0.511 0.511 0.000 -0.000 -0.000 13 0.511 0.511 0.511 0.000 -0.000 0.000 14 0.511 0.511 0.511 0.000 -0.000 0.000 15 0.511 0.511 0.511 0.000 -0.000 0.000 16 0.511 0.511 0.511 0.000 -0.000 0.000 1 f) Método Bisseção f(X) = x - tg(x) (1º raiz positiva) |f(x)| < 0,01 Intervalo: [1,6 ; 4,6] k a b x f(a) f(b) f(x) 0 1.600 4.600 3.100 35.833 -4.260 3.142 1 3.100 4.600 3.850 3.142 -4.260 2.993 2 3.850 4.600 4.225 2.993 -4.260 2.338 3 4.225 4.600 4.413 2.338 -4.260 1.179 4 4.413 4.600 4.506 1.179 -4.260 -0.276 5 4.413 4.506 4.459 1.179 -0.276 0.592 6 4.459 4.506 4.483 0.592 -0.276 0.204 7 4.483 4.506 4.495 0.204 -0.276 -0.023 8 4.483 4.495 4.489 0.204 -0.023 0.094 9 4.489 4.495 4.492 0.094 -0.023 0.036 10 4.492 4.495 4.493 0.036 -0.023 0.007 11 4.493 4.495 4.494 0.007 -0.023 -0.008 12 4.493 4.494 4.493 0.007 -0.008 -0.000 13 4.493 4.493 4.493 0.007 -0.000 0.003 14 4.493 4.493 4.493 0.003 -0.000 0.001 15 4.493 4.493 4.493 0.001 -0.000 0.000 16 4.493 4.493 4.493 0.000 -0.000 -0.000
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