c) f(1) = te¯«a f(1) = te", 12 0, Is 0. -j4aw (c) (a + w) %3D %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Question
Answer letter C. Show soln
Find the Fourier transform of each function. In
each case, a is a positive real constant.
Answer: (a)
(a + jw) + w
I<0,
12 0.
1> 0,
IS0.
12 0,
Is0.
a) S(1) = 0,
S() = e"sin ond,
1
(b)
(a - jw)"
b) f(t) = 0,
S() = -te",
%3D
-j4aw
c) f(1) = te",
f(1) = te",
%3D
(c)
(a + w)
Transcribed Image Text:Find the Fourier transform of each function. In each case, a is a positive real constant. Answer: (a) (a + jw) + w I<0, 12 0. 1> 0, IS0. 12 0, Is0. a) S(1) = 0, S() = e"sin ond, 1 (b) (a - jw)" b) f(t) = 0, S() = -te", %3D -j4aw c) f(1) = te", f(1) = te", %3D (c) (a + w)
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