Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. ƒ(x) has a root in [0,1]. If we use Newton-Raphson method, with x = 0.5, what is x, so that x estimates the root of f(x) to six significant digits?
Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0. ƒ(x) has a root in [0,1]. If we use Newton-Raphson method, with x = 0.5, what is x, so that x 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
Problem 21T
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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 Newton-Raphson method, with x₁ = 0.5, what is x, so that Xn
estimates the root of f(x) to six significant digits?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e402861-6653-412b-8875-2016c7e81160%2F4b11edf7-8b77-41a1-81d5-843aee743083%2Fwdyg1r3_processed.png&w=3840&q=75)
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 Newton-Raphson method, with x₁ = 0.5, what is x, so that Xn
estimates the root of f(x) to six significant digits?
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