Consider the function f(x) = cos x - 3x + 1. Since f(0)f < 0, f(x) has a root in [0]. If we use Newton-Raphson method, with xo = 0.5, what is xn so that xn estimates the root of f(x) to six significant digits?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Consider the function f(x) = cos x − 3x +1. Since f (0)ƒ () <0. f(x) has a root in
[0]. If we use Newton-Raphson method, with x = 0.5, what is x, so that x₂
estimates the root of f(x) to six significant digits?
Transcribed Image Text:Consider the function f(x) = cos x − 3x +1. Since f (0)ƒ () <0. f(x) has a root in [0]. If we use Newton-Raphson method, with x = 0.5, what is x, so that x₂ estimates the root of f(x) to six significant digits?
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