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