1. Consider the problem of finding the roots of P(x) = (x – 1)(x – 3)(x – 5)(x – 7)(x – 9)(x – 11)(x – 13)(x – 15)(x – 17)(x – 19). %3D a. What are the roots of P(x)? i b. If we define the perturbation P(x) = P(x) + 2x6, determine whether the problem of finding the roots of P(x) around the perturbation x6 an ill or well-conditioned problem. (*
1. Consider the problem of finding the roots of P(x) = (x – 1)(x – 3)(x – 5)(x – 7)(x – 9)(x – 11)(x – 13)(x – 15)(x – 17)(x – 19). %3D a. What are the roots of P(x)? i b. If we define the perturbation P(x) = P(x) + 2x6, determine whether the problem of finding the roots of P(x) around the perturbation x6 an ill or well-conditioned problem. (*
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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B only
![1. Consider the problem of finding the roots of
P(x) = (x – 1)(x – 3)(x – 5)(x – 7)(x – 9)(x – 11)(x – 13)(x – 15)(x – 17)(x – 19).
a. What are the roots of P(x)? :
b. If we define the perturbation P(x) = P(x) + 2x6, determine whether the problem
of finding the roots of P(x) around the perturbation x6 an ill or well-conditioned
problem. (*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F780d3ef0-6e9b-497d-9e33-c62f4662a3e8%2F1dc41bea-2bd4-43db-970e-a8b3b2527d03%2F3j12zq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Consider the problem of finding the roots of
P(x) = (x – 1)(x – 3)(x – 5)(x – 7)(x – 9)(x – 11)(x – 13)(x – 15)(x – 17)(x – 19).
a. What are the roots of P(x)? :
b. If we define the perturbation P(x) = P(x) + 2x6, determine whether the problem
of finding the roots of P(x) around the perturbation x6 an ill or well-conditioned
problem. (*
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