Consider the following table of values of f(x) = e". 0.0 0.2 0.6 f(x) 1.0 1.22140 1.82212 (a) Approximate f(0.5) using the given data and the Newton forward divided differ- ence formula. (b) Find the best upper bound for the error of the approximation in (a).
Consider the following table of values of f(x) = e". 0.0 0.2 0.6 f(x) 1.0 1.22140 1.82212 (a) Approximate f(0.5) using the given data and the Newton forward divided differ- ence formula. (b) Find the best upper bound for the error of the approximation in (a).
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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Please answer choice b only
Transcribed Image Text:4.
Consider the following table of values of f(x) = e".
0.0
0.2
0.6
f(x) 1.0
1.22140
1.82212
(a) Approximate f(0.5) using the given data and the Newton forward divided differ-
ence formula.
(b) Find the best upper bound for the error of the approxination in (a).
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