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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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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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