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 x₁ = 0.5, what is the error when x₂ is used to estimate the root of f(x)? (Answer must be in 8 decimal places)
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 x₁ = 0.5, what is the error when x₂ is used to estimate the root of f(x)? (Answer must be in 8 decimal places)
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, ƒ (x) has a root in
[0]. If we use Newton-Raphson method, with x₁ = 0.5, what is the error when x₂:
used to estimate the root of f(x)? (Answer must be in 8 decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60490751-1c6c-473c-844b-470bbbb67b75%2F0d43408e-43d1-4dc4-b78d-829ce8210ca1%2Fjh0c7gr_processed.jpeg&w=3840&q=75)
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 the error when x₂:
used to estimate the root of f(x)? (Answer must be in 8 decimal places)
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