O Show that the Fourier transform of | 3 -2<1<2 0 otherwise f() = {0 6 sin 20 is given by F (@) =
O Show that the Fourier transform of | 3 -2<1<2 0 otherwise f() = {0 6 sin 20 is given by F (@) =
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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Question
![(a) Show that the Fourier transform of
[ 3 -2<t<2
|0 otherwise
f(t) =
6 sin 20
is given by F (») =
(b) Use the first shift theorem to find the Fourier transform of e- f(t).
(c) Verify the first shift theorem by obtaining the Fourier transform of e f(t) directly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75336d4e-2815-4c68-8fa8-324dc126c16f%2Ffb7a3b75-7dd2-4e3b-ad60-06a2c39b6346%2Fzu7gwxr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Show that the Fourier transform of
[ 3 -2<t<2
|0 otherwise
f(t) =
6 sin 20
is given by F (») =
(b) Use the first shift theorem to find the Fourier transform of e- f(t).
(c) Verify the first shift theorem by obtaining the Fourier transform of e f(t) directly.
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