Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in [0,]. If we use bisection method to estimate the root of ƒ (x) = cos x − 3x + 1, what is xn such that x₂ estimates the root to one significant digit? (Answer must be in 8 decimal places)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
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Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (²) < 0, ƒ (x) has a root in
[0]. If we use bisection method to estimate the root of ƒ (x) = cos x − 3x + 1, what
is xn such that xn estimates the root to one significant digit? (Answer must be in 8
decimal places)
Transcribed Image Text:Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (²) < 0, ƒ (x) has a root in [0]. If we use bisection method to estimate the root of ƒ (x) = cos x − 3x + 1, what is xn such that xn estimates the root to one significant digit? (Answer must be in 8 decimal places)
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