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f(x) 6. The function x³ - 2x² - 4x + 8 has a double root at x = 2, use the standard Newton-Raphson Equation, X₁+1= x₁- to solve for the root at x = 2. Compare and discuss the rate of convergence using an initial guess of f'(xi) Xo=1.2.

f(x) 6. The function x³ - 2x² - 4x + 8 has a double root at x = 2, use the standard Newton-Raphson Equation, X₁+1= x₁- to solve for the root at x = 2. Compare and discuss the rate of convergence using an initial guess of f'(xi) Xo=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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6. The function x3 - 2x² - 4x + 8 has a double root at x = 2, use the standard Newton-Raphson Equation, X₁+1== to solve for the root at x = 2. Compare and discuss the rate of convergence using an initial guess of f(x₁) /'(x) Xo = 1.2.
Transcribed Image Text:6. The function x3 - 2x² - 4x + 8 has a double root at x = 2, use the standard Newton-Raphson Equation, X₁+1== to solve for the root at x = 2. Compare and discuss the rate of convergence using an initial guess of f(x₁) /'(x) Xo = 1.2.
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