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4. Consider the problem of estimating a root of the equation cos(2x) - x = 0 via Newton's method. Beginning with initial guess x = apply two iterations to estimate a root. Show all of your working and state x₁ and x₂. Formula to use: Xn+1 = Xn f(xn) f'(xn)

4. Consider the problem of estimating a root of the equation cos(2x) - x = 0 via Newton's method. Beginning with initial guess x = apply two iterations to estimate a root. Show all of your working and state x₁ and x₂. Formula to use: Xn+1 = Xn f(xn) f'(xn)

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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4. Consider the problem of estimating a root of the equation cos(2x) - x = 0 via Newton's method. Beginning with initial guess xo= apply two iterations to estimate a root. Show all of your working and state x₁ and x₂. Formula to use: Xn+1 = Xn f(xn) f'(xn)
Transcribed Image Text:4. Consider the problem of estimating a root of the equation cos(2x) - x = 0 via Newton's method. Beginning with initial guess xo= apply two iterations to estimate a root. Show all of your working and state x₁ and x₂. Formula to use: Xn+1 = Xn f(xn) f'(xn)
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