Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in [0]. If we use Newton-Raphson method, with x₁ = 0.5, what is the error when x₂: used to estimate the root of f(x)? (Answer must be in 8 decimal places)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (1) < 0. f(x) has a root in
[o]. If we use Newton-Raphson method, with xo = 0.5, what is the error when x₂ is
used to estimate the root of f(x)? (Answer must be in 8 decimal places)
Your answer is Blank 1.
Blank 1 Add your answer
Transcribed Image Text:Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (1) < 0. f(x) has a root in [o]. If we use Newton-Raphson method, with xo = 0.5, what is the error when x₂ is used to estimate the root of f(x)? (Answer must be in 8 decimal places) Your answer is Blank 1. Blank 1 Add your answer
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