Part c: Consider the function f : [-1, 1] → R { -1 < x <0 0 = S', f(x)g(x).
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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![Part c:
Consider the function f : [-1, 1] → R
{
-1 < x <0
0 <x < 1
f
X,
Find the closest approximation to f by a degree 2 polynomial. Use the inner
product defined by < f,g >= S', f(x)g(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F794fd03b-e0bb-480e-890d-5fcf5e269b0d%2F427f30e0-423a-4a28-9cd4-4eb403762e9b%2Focbaf6p_processed.png&w=3840&q=75)
Transcribed Image Text:Part c:
Consider the function f : [-1, 1] → R
{
-1 < x <0
0 <x < 1
f
X,
Find the closest approximation to f by a degree 2 polynomial. Use the inner
product defined by < f,g >= S', f(x)g(x).
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