2. Given the following functions, can you have the corresponding a) Fourier series, b) Fourier transform and c) Laplace transform? If yes, find them, if not, explain why you cannot. A. x(t) = -1+cos(2t) + sin(at+1) B. x(t) = 28(t) cos(2t) +8(t-1.57t) sin(2t) C. x(t) = 1+cos(1.5t) + cos(4t) %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2. Given the following functions, can you have the corresponding
a) Fourier series,
b) Fourier transform and
c) Laplace transform? If yes, find them, if not, explain why you cannot.
A. x(t) = -1+cos(2t) + sin(at+1)
B. x(t) = 28(t) cos(2t) +8(t-1.57t) sin(2t)
C. x(t) = 1+cos(1.5t) + cos(4t)
%3D
Transcribed Image Text:2. Given the following functions, can you have the corresponding a) Fourier series, b) Fourier transform and c) Laplace transform? If yes, find them, if not, explain why you cannot. A. x(t) = -1+cos(2t) + sin(at+1) B. x(t) = 28(t) cos(2t) +8(t-1.57t) sin(2t) C. x(t) = 1+cos(1.5t) + cos(4t) %3D
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