1. Consider the function f(x)=x enx and the nodes. Xo=1, X₁=e. (ex2.4) a) Determine the Hermite polynomial, b) Using this polynomial calculate the approximate value of f(2) and evaluate the error.
1. Consider the function f(x)=x enx and the nodes. Xo=1, X₁=e. (ex2.4) a) Determine the Hermite polynomial, b) Using this polynomial calculate the approximate value of f(2) and evaluate the error.
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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![1. Consider the function f(x)=x enx and the nodes.
Xo=1, X₁=e.
(ex2.4)
a) Determine the Hermite polynomial,
b) Using this polynomial calculate the approximate
value of f(2) and evaluate the error.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dbd643d-6684-401b-8e06-3f2fd8ba712e%2Fde37d960-05a4-4d37-ba06-e2dbde087377%2F75yk4dm.jpeg&w=3840&q=75)
Transcribed Image Text:1. Consider the function f(x)=x enx and the nodes.
Xo=1, X₁=e.
(ex2.4)
a) Determine the Hermite polynomial,
b) Using this polynomial calculate the approximate
value of f(2) and evaluate the error.
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