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Bissecção CÁLCULO NUMÉRICO MÉTODO DA BISSECÇÃO intervalo (0,1;1) X^2+LN(X)=0 MAJORANTE DO ERRO 0.01 OBS n a b X=(a+b)/2 f(a) f(b) f(x) Erro 1 0.60000000 0.70000000 0.65000000 -0.15082562 0.13332506 -0.00828292 0.05000000 CONTINUAR 2 0.65000000 0.70000000 0.67500000 -0.00828292 0.13332506 0.06258241 0.02500000 CONTINUAR 3 0.65000000 0.67500000 0.66250000 -0.00828292 0.06258241 0.02717153 0.01250000 CONTINUAR 4 0.65000000 0.66250000 0.65625000 -0.00828292 0.02717153 0.00945060 0.00625000 FIM 5 0.65000000 0.65625000 0.65312500 -0.00828292 0.00945060 0.00058552 0.00312500 FIM 6 0.65000000 0.65312500 0.65156250 -0.00828292 0.00058552 -0.00384826 0.00156250 FIM 7 0.65156250 0.65312500 0.65234375 -0.00384826 0.00058552 -0.00163126 0.00078125 FIM 8 0.65234375 0.65312500 0.65273438 -0.00163126 0.00058552 -0.00052284 0.00039063 FIM 9 0.65273438 0.65312500 0.65292969 -0.00052284 0.00058552 0.00003135 0.00019531 FIM 10 0.65273438 0.65292969 0.65283203 -0.00052284 0.00003135 -0.00024575 0.00009766 11 0.65283203 0.65292969 0.65288086 -0.00024575 0.00003135 -0.00010720 0.00004883 12 0.65288086 0.65292969 0.65290527 -0.00010720 0.00003135 -0.00003793 0.00002441 13 0.65290527 0.65292969 0.65291748 -0.00003793 0.00003135 -0.00000329 0.00001221 14 0.65291748 0.65292969 0.65292358 -0.00000329 0.00003135 0.00001403 0.00000610 15 0.65291748 0.65292358 0.65292053 -0.00000329 0.00001403 0.00000537 0.00000305 16 0.65291748 0.65292053 0.65291901 -0.00000329 0.00000537 0.00000104 0.00000153 17 0.65291748 0.65291901 0.65291824 -0.00000329 0.00000104 -0.00000113 0.00000076 18 0.65291824 0.65291901 0.65291862 -0.00000113 0.00000104 -0.00000004 0.00000038 19 0.65291862 0.65291901 0.65291882 -0.00000004 0.00000104 0.00000050 0.00000019 20 0.65291862 0.65291882 0.65291872 -0.00000004 0.00000050 0.00000023 0.00000010 21 0.65291862 0.65291872 0.65291867 -0.00000004 0.00000023 0.00000009 0.00000005 22 0.65291862 0.65291867 0.65291865 -0.00000004 0.00000009 0.00000002 0.00000002 23 0.65291862 0.65291865 0.65291864 -0.00000004 0.00000002 -0.00000001 0.00000001 24 0.65291864 0.65291865 0.65291864 -0.00000001 0.00000002 0.00000001 0.00000001 25 0.65291864 0.65291864 0.65291864 -0.00000001 0.00000001 -0.00000000 0.00000000 Biss F(x) X^3+e^x=2 Erro 0.001 n a b Xi f(a) f(b) f(x) erro Instrução 1 0.5000 1.2500 0.8750 -0.2263 3.4435 1.0688 0.3750 CONTINUAR 2 0.5000 0.8750 0.6875 -0.2263 1.0688 0.3137 0.0938 CONTINUAR 3 0.5000 0.6875 0.5938 -0.2263 0.3137 0.0201 0.0234 CONTINUAR 4 0.5000 0.5938 0.5469 -0.2263 0.0201 -0.1086 0.0059 CONTINUAR 5 0.5469 0.5469 0.5469 -0.1877 -0.1086 -0.1086 0.0000 FIM 6 0.5469 0.5469 0.5469 -0.1877 -0.1086 -0.1086 0.0000 FIM 7 0.5469 0.5469 0.5469 -0.1877 -0.1086 -0.1086 0.0000 FIM 8 0.5469 0.5469 0.5469 -0.1877 -0.1086 -0.1086 0.0000 FIM 9 0.5469 0.5469 0.5469 -0.1877 -0.1086 -0.1086 0.0000 FIM 10 0.5469 0.5469 0.5469 -0.1877 -0.1086 -0.1086 0.0000 FIM FIM FIM Newton-Raphson CÁLCULO NUMÉRICO MÉTODO DA BISSECÇÃO intervalo (0,1;1) Xn+1=xn-f(xn)/f´(Xn) f(x) X^2+LN(X)=0 MAJORANTE DO ERRO 0.01 F´(x) 2x+1/x F´´(x) 2-1/x^2 OBS n Xn F(Xn) F´(Xn) Xn+1 Erro ABS(F(xn)) 0 0.6 -0.1508256238 2.8666666667 0.6526135897 0.0526135897 CONTINUAR 1 0.6526135897 -0.0008655737 2.8375274805 0.6529186347 0.000305045 FIM 2 0.6529186347 -0.0000000162 2.8374216765 0.6529186404 0.0000000057 FIM 3 0.6529186404 0 2.8374216745 0.6529186404 0 FIM 4 0.6529186404 0 2.8374216745 0.6529186404 0 FIM X= 0 X=0,65261359±0,0003
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