Consider p(x) = (x-1.5001)(x-1.5)(x - 1.4999). Evaluate the formula = |p| \rp'(r)] at the root r= 1.5 of p. Interpret the value you obtained for K. If the error on the coefficients of p is 10-12, then, how large can the error Ar on the root be?
Consider p(x) = (x-1.5001)(x-1.5)(x - 1.4999). Evaluate the formula = |p| \rp'(r)] at the root r= 1.5 of p. Interpret the value you obtained for K. If the error on the coefficients of p is 10-12, then, how large can the error Ar on the root be?
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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![Question:
Consider p(x) = (x - 1.5001)(x-1.5)(x - 1.4999).
Evaluate the formula x =
|pl
\rp' (r)]
Interpret the value you obtained for K.
If the error on the coefficients of p is 10-12,
then, how large can the error Ar on the root be?
at the root r= 1.5 of p.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23053f65-a312-4931-a9ce-354bb355339d%2Fffce5670-6c8d-493b-a8bf-a6d29d14e734%2Fn5zmzmd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question:
Consider p(x) = (x - 1.5001)(x-1.5)(x - 1.4999).
Evaluate the formula x =
|pl
\rp' (r)]
Interpret the value you obtained for K.
If the error on the coefficients of p is 10-12,
then, how large can the error Ar on the root be?
at the root r= 1.5 of p.
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