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Categorize each of the following signals correctly as case A, B, C, D, or E. (Simply enter A, B, C, D, or E in each blank.) A. The Laplace and Fourier transforms both exist and the Fourier transform CAN be obtained from the Laplace transform by substituting s = = jw. B. The Laplace and Fourier transforms both exist and the Fourier transform CANNOT be obtained from the Laplace transform by substituting s= jw. C. The Laplace transform exists but the Fourier transform does not. D. The Fourier transform exists but the Laplace transform does not. E. Neither transform exists. cos(t)u (t). cos(t)u (-t). cos(t). e-2tu (t). e-2¹u (-t). e-2t. e²t u (t). e²tu (-t). e2t

Categorize each of the following signals correctly as case A, B, C, D, or E. (Simply enter A, B, C, D, or E in each blank.) A. The Laplace and Fourier transforms both exist and the Fourier transform CAN be obtained from the Laplace transform by substituting s = = jw. B. The Laplace and Fourier transforms both exist and the Fourier transform CANNOT be obtained from the Laplace transform by substituting s= jw. C. The Laplace transform exists but the Fourier transform does not. D. The Fourier transform exists but the Laplace transform does not. E. Neither transform exists. cos(t)u (t). cos(t)u (-t). cos(t). e-2tu (t). e-2¹u (-t). e-2t. e²t u (t). e²tu (-t). e2t

Advanced Engineering Mathematics
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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Categorize each of the following signals correctly as case A, B, C, D, or E. (Simply enter A, B, C, D, or E in each blank.) A. The Laplace and Fourier transforms both exist and the Fourier transform CAN be obtained from the Laplace transform by substituting s = jw. B. The Laplace and Fourier transforms both exist and the Fourier transform CANNOT be obtained from the Laplace transform by substituting s= jw. C. The Laplace transform exists but the Fourier transform does not. D. The Fourier transform exists but the Laplace transform does not. E. Neither transform exists. cos(t)u (t). cos(t)u (-t). cos(t). e-2t u (t). e-21u (-t). e-2t e²t u (t). e²tu (-t). e2t
Transcribed Image Text:Categorize each of the following signals correctly as case A, B, C, D, or E. (Simply enter A, B, C, D, or E in each blank.) A. The Laplace and Fourier transforms both exist and the Fourier transform CAN be obtained from the Laplace transform by substituting s = jw. B. The Laplace and Fourier transforms both exist and the Fourier transform CANNOT be obtained from the Laplace transform by substituting s= jw. C. The Laplace transform exists but the Fourier transform does not. D. The Fourier transform exists but the Laplace transform does not. E. Neither transform exists. cos(t)u (t). cos(t)u (-t). cos(t). e-2t u (t). e-21u (-t). e-2t e²t u (t). e²tu (-t). e2t
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