1. Find and sketch the Fourier transforms of (a) fi(x) = cos 3x (b) f2(x) = exp(-a|x|) for some a > 0 (c) f(x) = 1 -L 0 0 otherwise.

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1. Find and sketch the Fourier transforms of
(a) fi(x) = cos 3x
(b) f2(x) = exp(-a|x|) for some a > 0
(c) f(x) =
1
-L<x<L for some length L > 0
0 otherwise.
Transcribed Image Text:1. Find and sketch the Fourier transforms of (a) fi(x) = cos 3x (b) f2(x) = exp(-a|x|) for some a > 0 (c) f(x) = 1 -L<x<L for some length L > 0 0 otherwise.
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