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 isused to estimate the root of f(x)? (Answer must be in 8 decimal places)Your answer is Blank 1.Blank 1 Add your answer

Answered: Image /qna-images/answer/9972fa6e-ea22-49a2-803c-efd11d6dce23.jpg

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)

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)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.5: Derivatives Of Logarithmic Functions

Problem 47E

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Question

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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