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Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. f(x) has a root i [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)

Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. f(x) has a root i [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
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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ADVANCED MATHEMATICS

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 is used to estimate the root of f(x)? (Answer must be in 8 decimal places)
Transcribed Image Text: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 is used to estimate the root of f(x)? (Answer must be in 8 decimal places)
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