CN-Lista01.gab.A

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1ª Lista de Exercícios - Gabarito
Cálculo Numérico Profª Natalia Silveira
1ª Questão
x f(x) F(x) Ep(%)
-3.14159 1.00000 -6.84348E+0 7.84348E+2
-1.57080 -1.00000 -2.39223E+0 1.39223E+2
0.00000 1.00000 1.00000E+0 0.00000E+0
1.57080 1.00000 -5.42569E-1 1.54257E+2
3.14159 1.00000 -1.08957E+1 1.18957E+3
2ª Questão
x f(x) F(x) Ep(%)
-0.78540 0.70711 4.88704E-1 3.08868E+1
0.00000 1.00000 9.87282E-1 1.27181E+0
0.78540 0.70711 7.07107E-1 0.00000E+0
1.57080 0.00000 -9.24739E-3 -
2.35619 -0.70711 -8.19206E-1 1.58533E+1
3ª Questão
x g(x) G(x) Ep(%)
-0.78540 -0.70711 1.32147E+0 2.86884E+2
-0.39270 -1.38268 -1.30744E+0 5.44198E+0
0.00000 0.00000 0.00000E+0 -
0.39270 1.38268 1.30744E+0 5.44198E+0
0.78540 0.70711 -1.32147E+0 2.86884E+2
4ª Questão
Bisseção Newton-Raphson
x f(x) Deltax x f(x) f´(x) Deltax
2.35619449 0.707107 - 2.35619449 0.70710678 -4.70710678 -
2.74889357 -0.617317 0.39269908 2.50641560 0.02794785 -4.10431030 -0.15022110
2.55254403 -0.151537 0.19634954 2.51322499 0.00019877 -4.04551813 -0.00680939
2.45436926 0.251710 0.09817477 2.51327412 0.00000001 -4.04508500 -0.00004913
2.50345665 0.040129 0.04908739
2.52800034 -0.058585 0.02454369
2.51572849 -0.009901 0.01227185
2.50959257 0.014952 0.00613592
2.51266053 0.002484 0.00306796
2.51419451 -0.003719 0.00153398
2.51342752 -0.000620 0.00076699
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5ª Questão
Bisseção Newton-Raphson
x f(x) Deltax x f(x) f´(x) Deltax
0.00000000 4.000000 - 0.00000000 4.00000000 -9.00000000 -
0.60000000 -0.680000 0.60000000 0.44444444 0.39506173 -7.22222222 -0.44444444
0.30000000 1.480000 0.30000000 0.49914530 0.00598437 -7.00341880 -0.05470085
0.45000000 0.355000 0.15000000 0.49999979 0.00000146 -7.00000083 -0.00085449
0.52500000 -0.173750 0.07500000
0.48750000 0.087813 0.03750000
0.50625000 -0.043672 0.01875000
0.49687500 0.021895 0.00937500
0.50156250 -0.010933 0.00468750
0.49921875 0.005470 0.00234375
0.50039063 -0.002734 0.00117187
0.49980469 0.001367 0.00058594
6ª Questão
Bisseção Newton-Raphson
x f(x) Deltax x f(x) f´(x) Deltax
0.60000000 -0.301651 - 0.60000000 -0.30165125 5.73333333 -
0.80000000 0.833713 0.20000000 0.65261359 -0.00173115 5.67505496 -0.05261359
0.70000000 0.266650 0.10000000 0.65291863 -0.00000003 5.67484335 -0.00030505
0.65000000 -0.016566 0.05000000
0.67500000 0.125165 0.02500000
0.66250000 0.054343 0.01250000
0.65625000 0.018901 0.00625000
0.65312500 0.001171 0.00312500
0.65156250 -0.007697 0.00156250
0.65234375 -0.003263 0.00078125
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