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Homework for Newton-Raphson 1. Find the positive solution of 2cos x = x until you find the six significant figures exact solution (Le. you have the exact same solution of the previous step). Use an initial guess of x₂ = 0

Homework for Newton-Raphson 1. Find the positive solution of 2cos x = x until you find the six significant figures exact solution (Le. you have the exact same solution of the previous step). Use an initial guess of x₂ = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Homework for Newton-Raphson 1. Find the positive solution of 2cos x = x until you find the six significant figures exact solution (Le. you have the exact same solution of the previous step). Use an initial guess of x₂ = 0 2. Apply Newton's method to the equation f(x)=x² + 2x²+x-1 starting from X = 1. Use 6 iterations and 6 significant figures. For both questions, show the answer in detail for the first two steps and then continue in a table form. Use the table below Iteration number Xo f(x₂) f'(x) X₂ Ea
Transcribed Image Text:Homework for Newton-Raphson 1. Find the positive solution of 2cos x = x until you find the six significant figures exact solution (Le. you have the exact same solution of the previous step). Use an initial guess of x₂ = 0 2. Apply Newton's method to the equation f(x)=x² + 2x²+x-1 starting from X = 1. Use 6 iterations and 6 significant figures. For both questions, show the answer in detail for the first two steps and then continue in a table form. Use the table below Iteration number Xo f(x₂) f'(x) X₂ Ea
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