Sketch the given function and represent it as indicated. If you have a CAS, graph approximate curves obtained by replacing x with finite limits; also look for Gibbs phenomena. 34. f(x) = 1 + x/2 if -2 < x< 0, f(x) = 1 - x/2 if 0 < x< 2, f(x) = 0 otherwise, by a Fourier cosine integral

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 56E
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FOURIER INTEGRALS AND
TRANSFORMS
Sketch the given function and represent it as indicated. If
you have a CAS, graph approximate curves obtained by
replacing with finite limits; also look for Gibbs
phenomena.
34. f(x) = 1 + x/2 if -2 < x< 0, f(x) = 1 - x/2 if
0 < x < 2, f(x) = 0 otherwise, by a Fourier cosine
integral
Transcribed Image Text:FOURIER INTEGRALS AND TRANSFORMS Sketch the given function and represent it as indicated. If you have a CAS, graph approximate curves obtained by replacing with finite limits; also look for Gibbs phenomena. 34. f(x) = 1 + x/2 if -2 < x< 0, f(x) = 1 - x/2 if 0 < x < 2, f(x) = 0 otherwise, by a Fourier cosine integral
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