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Consider finding rx when x = cos(x). (a) Consider the sensitivity of the root/solution of this equation with respect to the coefficient on x in the equation. That is, for the perturbed equation cx = cos(x), find the absolute and relative condition number of the positive root r with respect to the coefficient c at c = 1. You may use class results. Also, you will need a root estimate that can be found by iterating n+1 = cos(an) in your calculator.

Consider finding rx when x = cos(x). (a) Consider the sensitivity of the root/solution of this equation with respect to the coefficient on x in the equation. That is, for the perturbed equation cx = cos(x), find the absolute and relative condition number of the positive root r with respect to the coefficient c at c = 1. You may use class results. Also, you will need a root estimate that can be found by iterating n+1 = cos(an) in your calculator.

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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Take r=0.7390 please help and thanks.
4. Consider finding x when x = cos(x). (a) Consider the sensitivity of the root/solution of this equation with respect to the coefficient on x in the equation. That is, for the perturbed equation cx = = cos(x), find the absolute and relative condition number of the positive root r with respect to the coefficient c at c = 1. You may use class results. Also, you will need a root estimate that can be found by iterating n+1 = cos(xn) in your calculator. 1
Transcribed Image Text:4. Consider finding x when x = cos(x). (a) Consider the sensitivity of the root/solution of this equation with respect to the coefficient on x in the equation. That is, for the perturbed equation cx = = cos(x), find the absolute and relative condition number of the positive root r with respect to the coefficient c at c = 1. You may use class results. Also, you will need a root estimate that can be found by iterating n+1 = cos(xn) in your calculator. 1
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