f(x) = -1 - x/2 if -2 < x < 0, f(x) = 1 - x/2 if 0 < x < 2, f(x) integral 0 otherwise, by a Fourier sine %3D

Advanced Engineering Mathematics
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Fourier Series, Integrals, and Transforms

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.
35. f(x) = - l - x/2 if -2 << x< 0, f(x) = 1 - x/2 if
0 < x < 2, f(x) = 0 otherwise, by a Fourier sine
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. 35. f(x) = - l - x/2 if -2 << x< 0, f(x) = 1 - x/2 if 0 < x < 2, f(x) = 0 otherwise, by a Fourier sine integral
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