NewtonRaphsonVariable

# NewtonRaphsonVariable - 12.9 0.73 13 0.64 13.1 0.56 13.2...

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Solution of the equation: f(x) = 0 using the Newton-Raphson method f(x): ln(x)-sin(x)-1.5 function f(x) October 21, 1999 - G. Urroz - programmer f'(x): 1/x-cos(x) derivative f'(x) From x = 1.00000 <-- values Table of values Parameters for solution: To x = 25.00000 used to x f(x) epsilon: 0 0.10000 create table 1.00 -2.34 Nmax: 1000 1.10 -2.30 x0: 6.0000 1.20 -2.25 1.30 -2.20 Solution: 6.7 1.40 -2.15 Error: 0 1.50 -2.09 1.60 -2.03 1.70 -1.96 1.80 -1.89 1.90 -1.80 2.00 -1.72 2.10 -1.62 2.20 -1.52 2.30 -1.41 2.40 -1.30 2.50 -1.18 2.60 -1.06 2.70 -0.93 2.80 -0.81 These cells are used by Visual Basic in calculating the solution - don't modify them. 2.90 -0.67 x: 6.7 3.00 -0.54 f(x): 0 3.10 -0.41 f'(x): -0.77 3.20 -0.28 3.30 -0.15 3.40 -0.02 3.50 0.10 3.60 0.22 3.70 0.34 3.80 0.45 3.90 0.55 4.00 0.64 4.1 0.73 4.2 0.81 4.3 0.87 4.4 0.93 4.5 0.98 4.6 1.02 4.7 1.05 4.8 1.06 4.9 1.07 5 1.07 5.1 1.06 5.2 1.03 x = 0.0 0 5.0 0 10.0 0 15.0 0 20.0 0 25.0 0 30.0 0 -3.00 -2.00 -1.00 0.00 1.00 2.00 3.00 y = f(x) x y Solve for x <-- Create Table INFO

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5.3 1.00 5.4 0.96 5.5 0.91 5.6 0.85 5.7 0.79 5.8 0.72 5.9 0.65 6 0.57 6.1 0.49 6.2 0.41 6.3 0.32 6.4 0.24 6.5 0.16 6.6 0.08 6.7 0.00 6.8 -0.08 6.9 -0.15 7 -0.21 7.1 -0.27 7.2 -0.32 7.3 -0.36 7.4 -0.40 7.5 -0.42 7.6 -0.44 7.7 -0.45 7.8 -0.44 7.9 -0.43 8 -0.41 8.1 -0.38 8.2 -0.34 8.3 -0.29 8.4 -0.23 8.5 -0.16 8.6 -0.08 8.7 0.00 8.8 0.09 8.9 0.19 9 0.29 9.1 0.39 9.2 0.50 9.3 0.61 9.4 0.72 9.5 0.83 9.6 0.94 9.7 1.04 9.8 1.15 9.9 1.25 10 1.35
10.1 1.44 10.2 1.52 10.3 1.60 10.4 1.67 10.5 1.73 10.6 1.78 10.7 1.83 10.8 1.86 10.9 1.88 11 1.90 11.1 1.9 11.2 1.9 11.3 1.88 11.4 1.85 11.5 1.82 11.6 1.77 11.7 1.72 11.8 1.66 11.9 1.59 12 1.52 12.1 1.44 12.2 1.36 12.3 1.27 12.4 1.18 12.5 1.09 12.6 1 12.7 0.91 12.8 0.82

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Unformatted text preview: 12.9 0.73 13 0.64 13.1 0.56 13.2 0.49 13.3 0.42 13.4 0.35 13.5 0.3 13.6 0.25 13.7 0.21 13.8 0.18 13.9 0.16 14 0.15 14.1 0.15 14.2 0.16 14.3 0.17 14.4 0.2 14.5 0.24 14.6 0.29 14.7 0.34 14.8 0.41 14.9 0.48 15 0.56 15.1 0.64 15.2 0.73 15.3 0.83 15.4 0.93 15.5 1.03 15.6 1.14 15.7 1.25 15.8 1.35 15.9 1.46 16 1.56 16.1 1.66 16.2 1.76 16.3 1.85 16.4 1.94 16.5 2.02 16.6 2.09 16.7 2.15 16.8 2.21 16.9 2.26 17 2.29 17.1 2.32 17.2 2.34 17.3 2.35 17.4 2.35 17.5 2.34 17.6 2.32 17.7 2.29 17.8 2.25 17.9 2.2 18 2.14 18.1 2.08 18.2 2.01 18.3 1.93 18.4 1.85 18.5 1.76 18.6 1.67 18.7 1.58 18.8 1.48 18.9 1.39 19 1.29 19.1 1.2 19.2 1.11 19.3 1.02 19.4 0.94 19.5 0.86 19.6 0.79 19.7 0.73 19.8 0.67 19.9 0.62 20 0.58 20.1 0.55 20.2 0.53 20.3 0.52 20.4 0.52 20.5 0.52 20.6 0.54 20.7 0.57 20.8 0.61 20.9 0.65 21 0.71 21.1 0.77 21.2 0.84 21.3 0.92 21.4 1.01 21.5 1.1 21.6 1.19 21.7 1.29 21.8 1.39 21.9 1.5 22 1.6 22.1 1.7 22.2 1.81 22.3 1.91 22.4 2.01 22.5 2.1 22.6 2.19 22.7 2.27 22.8 2.35 22.9 2.42 23 2.48 23.1 2.54 23.2 2.58 23.3 2.61 23.4 2.64 23.5 2.66 23.6 2.66 23.7 2.66 23.8 2.64 23.9 2.62 24 2.58 24.1 2.54 24.2 2.49 24.3 2.43 24.4 2.36 24.5 2.29 24.6 2.21 24.7 2.13 24.8 2.04 24.9 1.95 25 1.85...
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## This note was uploaded on 01/08/2010 for the course COT 3502 taught by Professor Hawkins during the Fall '08 term at University of Florida.

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NewtonRaphsonVariable - 12.9 0.73 13 0.64 13.1 0.56 13.2...

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