7. a) Use the appropriate Lagrange interpolating polynomial of degree two P,(x) to approximate f(0.22) if f(0.1)=0.665; f(0.2)=0.8; f(0.3)=1.8; and f(0.4)=0.25. b) Suppose we know that | f³(x)| < 5 on the interval contains 0.1, 0.2, 0.3, and 0.4. What is the error |f(0.22) – P;(0.22)| made by the interpolation?
7. a) Use the appropriate Lagrange interpolating polynomial of degree two P,(x) to approximate f(0.22) if f(0.1)=0.665; f(0.2)=0.8; f(0.3)=1.8; and f(0.4)=0.25. b) Suppose we know that | f³(x)| < 5 on the interval contains 0.1, 0.2, 0.3, and 0.4. What is the error |f(0.22) – P;(0.22)| made by the interpolation?
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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Transcribed Image Text:7. a) Use the appropriate Lagrange interpolating polynomial of degree two P,(x) to approximate
f(0.22) if f(0.1)=0.665; f(0.2)=0.8; f(0.3)=1.8; and f(0.4)=0.25.
b) Suppose we know that | f (x)| < 5 on the interval contains 0.1, 0.2, 0.3, and 0.4. What is
the error |f(0.22) – P,(0.22)| made by the interpolation?
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