2.Giveng(x) = 4r4.%3DProve that the given form r =for the use of fixed point iteration method. Thus, use the fixed pointiteration formula ri+1Stop the iteration when |ri+1 - r: < 0.005.g(x) satisfies the convergence criteriag(x.) to find the root starting with ro = 3.2.

The function given is as follows:…

Answered: Given 9(2) = 4z –- 4. Prove that the…

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. Write the formula for finding a root of f(x) = - x³ –- cos (x), where x is a real positive number, by Newton- Raphson's method. Then, compute the second iteration approximation. Discuss the order of convergence of Newton-Raphson's method.
4
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Given 9(2) = 4z –- 4. Prove that the given form r = g(r) satisfies the convergence criteria for the use of fixed point iteration method. Thus, use the fixed point iteration formula ri+1 = g(r;) to find the root starting with ro Stop the iteration when |r+1-r; < 0.005. 3.2.