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 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, f (x) has a root in [0]. 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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in
[o,]. 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1aed6d17-f70d-4a8f-9461-cebe97ccb7a9%2Ff1d99c4b-f04f-4dcf-b8ab-96a614694455%2Fi8och4k_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
[o,]. 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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