Consider p(x) = (x - 1.5001)(x - 1.5)(x - 1.4999). |p| \rp'(r)] Evaluate the formula = at the root r= 1.5 of p.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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?
Transcribed Image Text: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?
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