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Given the following values f(1.0) = 1.00000, f(1.2) = 1.55271, f(1.4) = 2.61170, f(1.1) = 1.23368, f(1.3) = 1.99372, (a) construct a Lagrange interpolating polynomial to approximate f(1.25) (b) find a bound for the error in the approximation given that the function being approximated is f(x) = e*²–1.

Given the following values f(1.0) = 1.00000, f(1.2) = 1.55271, f(1.4) = 2.61170, f(1.1) = 1.23368, f(1.3) = 1.99372, (a) construct a Lagrange interpolating polynomial to approximate f(1.25) (b) find a bound for the error in the approximation given that the function being approximated is f(x) = e*²–1.

Advanced Engineering Mathematics
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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Given the following values f(1.0) = 1.00000, f(1.2) = 1.55271, f(1.4) = 2.61170, f(1.1) = 1.23368, f(1.3) = 1.99372, (a) construct a Lagrange interpolating polynomial to approximate f(1.25) (b) find a bound for the error in the approximation given that the function being approximated is f(x) = e*²–1.
Transcribed Image Text:Given the following values f(1.0) = 1.00000, f(1.2) = 1.55271, f(1.4) = 2.61170, f(1.1) = 1.23368, f(1.3) = 1.99372, (a) construct a Lagrange interpolating polynomial to approximate f(1.25) (b) find a bound for the error in the approximation given that the function being approximated is f(x) = e*²–1.
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