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1. Apply the Newton-Raphson method to solve for the root of f (x) = 4x* – x – 2 using an initial guess of x, = 1. Complete the table below as you iterate to a solution. f(x;) f'(xi) %3D %3D Hint: f'(x) = 16x³ – 1 and x¡+1 = Xi %3D Table Xi f(x) f'(x) Xi+1 1 1 2

1. Apply the Newton-Raphson method to solve for the root of f (x) = 4x* – x – 2 using an initial guess of x, = 1. Complete the table below as you iterate to a solution. f(x;) f'(xi) %3D %3D Hint: f'(x) = 16x³ – 1 and x¡+1 = Xi %3D Table Xi f(x) f'(x) Xi+1 1 1 2

Advanced Engineering Mathematics
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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- 2 using d. Apply the Newton-Raphson method to solve for the root of f (x) = 4x* . an initial guess of xo = 1. Complete the table below as you iterate to a solution. — х — Hint: f'(x) = 16x³ – 1 and xi+1 f(x;) = Xị - f'(xi) Table f(x) f'(x) Xi+1 1 1 2
Transcribed Image Text:- 2 using d. Apply the Newton-Raphson method to solve for the root of f (x) = 4x* . an initial guess of xo = 1. Complete the table below as you iterate to a solution. — х — Hint: f'(x) = 16x³ – 1 and xi+1 f(x;) = Xị - f'(xi) Table f(x) f'(x) Xi+1 1 1 2
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