The space is C [0,2x] with the inner product (f, g) = | f(t)g(t)dt. Find the third-order Fourier approximation to f(t) = 2t – 1. The third-order Fourier approximation of f is (Type an exact answer, using x as needed.)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
Problem 89E
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The space is C [0,2r] with the inner product (f, g) = | f(t)g(t)dt. Find the third-order Fourier approximation to f(t) = 2t – 1.
The third-order Fourier approximation of f isO
(Type an exact answer, using 1 as needed.)
Transcribed Image Text:The space is C [0,2r] with the inner product (f, g) = | f(t)g(t)dt. Find the third-order Fourier approximation to f(t) = 2t – 1. The third-order Fourier approximation of f isO (Type an exact answer, using 1 as needed.)
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