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questões 03 e 04 QUESTÃO 3 ETAPA 02 METODO DA BISEEÇÃO Função F(X) = X²-10 sem a função SE Itera A B xi f(a) f(b) f(xi) 0 3 4 3.50000 -1 6 2.25 1 3.00000 3.50000 3.25000 -1 2.25 0.5625 2 3 3.25 3.12500 -1 0.5625 -0.234375 -0.03125 3 3.125 3.25 3.18750 -0.234375 0.5625 0.16015625 4 3.125 3.1875 3.15625 -0.234375 0.16015625 -0.0380859375 QUESTÃO 04 Função F(x) = X²-10 com a função SE Itera A B xi f(a) f(b) f(xi) 0 3.000000000 4.000000000 3.500000000 -1.000000000 6.000000000 2.250000000 1 3.000000000 3.500000000 3.250000000 -1.000000000 2.250000000 0.562500000 2 3.000000000 3.250000000 3.125000000 -1.000000000 0.562500000 -0.234375000 3 3.125000000 3.250000000 3.187500000 -0.234375000 0.562500000 0.160156250 4 3.125000000 3.187500000 3.156250000 -0.234375000 0.160156250 -0.038085938 5 3.156250000 3.187500000 3.171875000 -0.038085938 0.160156250 0.060791016 6 3.156250000 3.171875000 3.164062500 -0.038085938 0.060791016 0.011291504 7 3.156250000 3.164062500 3.160156250 -0.038085938 0.011291504 -0.013412476 8 3.160156250 3.164062500 3.162109375 -0.013412476 0.011291504 -0.001064301 9 3.162109375 3.164062500 3.163085938 -0.001064301 0.011291504 0.005112648 10 3.162109375 3.163085938 3.162597656 -0.001064301 0.005112648 0.002023935 11 3.162109375 3.162597656 3.162353516 -0.001064301 0.002023935 0.000479758 12 3.162109375 3.162353516 3.162231445 -0.001064301 0.000479758 -0.000292286 13 3.162231445 3.162353516 3.162292480 -0.000292286 0.000479758 0.000093732 14 3.162231445 3.162292480 3.162261963 -0.000292286 0.000093732 -0.000099278 15 3.162261963 3.162292480 3.162277222 -0.000099278 0.000093732 -0.000002773 16 3.162277222 3.162292480 3.162284851 -0.000002773 0.000093732 0.000045479 17 3.162277222 3.162284851 3.162281036 -0.000002773 0.000045479 0.000021353 18 3.162277222 3.162281036 3.162279129 -0.000002773 0.000021353 0.000009290 19 3.162277222 3.162279129 3.162278175 -0.000002773 0.000009290 0.000003258 20 3.162277222 3.162278175 3.162277699 -0.000002773 0.000003258 0.000000243 21 3.162277222 3.162277699 3.162277460 -0.000002773 0.000000243 -0.000001265 0.000000006 22 3.162277460 3.162277699 3.162277579 -0.000001265 0.000000243 -0.000000511 23 3.162277579 3.162277699 3.162277639 -0.000000511 0.000000243 -0.000000134 24 3.162277639 3.162277699 3.162277669 -0.000000134 0.000000243 0.000000054 25 3.162277639 3.162277669 3.162277654 -0.000000134 0.000000054 -0.000000040 26 3.162277654 3.162277669 3.162277661 -0.000000040 0.000000054 0.000000007 27 3.162277654 3.162277661 3.162277658 -0.000000040 0.000000007 -0.000000017 28 3.162277658 3.162277661 3.162277659 -0.000000017 0.000000007 -0.000000005 29 3.162277659 3.162277661 3.162277660 -0.000000005 0.000000007 0.000000001 questão 06 QUESTÃO 06 METODO DE NEWTON FUNÇÃO = 2X-SEn(X)+4 INETERVALO (-2;-3) Itera xi f(xi) f'(X) 0 -2.00000 0.9092974268 2.41615 1 -2.3763419562 -0.0599660868 2.72121 E<=0,1 2 -2.3543053934 -0.0001694748 2.70577 E<=0,0001 3 -2.3542427587 -0.00000000139 2.70573 E<= 0,000000001 4 METODO DE BOLSANO DESCOBRIR PRIMEIRO CHUTE 2 7.0907025732 3 9.8588799919 4 12.7568024953 5 14.9589242747 -2 0.9092974268 -3 -1.8588799919 -4 -4.7568024953 -5 -6.9589242747 questão 09 QUESTÃO 09 METODO DA ITERAÇÃO: FUNÇÃO= X³-COS(X) Erro Itera X interação = x=Raiz³cos(x) f(x)= X³-COS(X) x0 0.5 -0.752582561890373 1 0.9574056696 0.301939254681247 2 0.8318617459 -0.097857443386883 3 0.8765553835 0.033698491775533 4 0.8616851126 -0.011357233557980 5 0.8667538751 0.003855239662898 0.0152124732 6 0.8650399272 -0.001305474054270 7 0.8656210701 0.000442429676979 8 0.8654242062 -0.000149898914837 9 0.8654909154 0.000050791843619 10 0.8654683128 -0.000017209786682 11 0.8654759713 0.000005831250972 12 0.8654733764 -0.000001975815440 13 0.8654742556 0.000000669470678 14 0.8654739577 -0.000000226838393 15 0.8654740586 0.000000076860220 0.000000303698613 16 0.8654740244 -0.000000026042739 17 0.865474036 0.000000008824126 18 0.8654740321 -0.000000002989900 0.00000001181 19 0.8654740334 0.000000001013075 20 0.865474033 -0.000000000343263 21 0.8654740331 0.000000000116309 22 0.8654740331 -0.000000000039409 23 0.8654740331 0.000000000013353 24 0.8654740331 -0.000000000004524 25 0.8654740331 0.000000000001533 26 0.8654740331 -0.000000000000519 27 0.8654740331 0.000000000000176 28 0.8654740331 -0.000000000000060 29 0.8654740331 0.000000000000020 30 0.8654740331 -0.000000000000007 31 0.8654740331 0.000000000000002 32 0.8654740331 0.00 -0.000000000000002
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