Consider the function f(x) = cos x - 3x + 1. Since f(0)ƒ () <0, f(x) has a root in [0]. If we use bisection method to estimate the root of f(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)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 f(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 (-) < 0. f(x) has a root in [0,]. If we use bisection method to estimate the root of f(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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