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(b) Prove that X(-jw) = X(jw) given that x(t) is real and even. (c) Use appropriate Fourier transform properties to prove the following: F 1 x(t)cosw, →÷X(w - wo) +÷X(w

(b) Prove that X(-jw) = X(jw) given that x(t) is real and even. (c) Use appropriate Fourier transform properties to prove the following: F 1 x(t)cosw, →÷X(w - wo) +÷X(w

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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solve part b and c plzz

(a) Compute the Laplace transform for the following and demonstrate the ROC using a pole-zero plot. x(t) = e-t/2u(-t) + 2e-t/3u(-t) Also, determine the region of convergence when y(t) = x(t) * h(t), where 1 H(s) ,Re{s} > –1 1+s (b) Prove that X(-jw) = X(jw) given that x(t) is real and even. (c) Use appropriate Fourier transform properties to prove the following: F 1 1 x(t)cosw, →-X(@ – wo) +;X(@ + wo)
Transcribed Image Text:(a) Compute the Laplace transform for the following and demonstrate the ROC using a pole-zero plot. x(t) = e-t/2u(-t) + 2e-t/3u(-t) Also, determine the region of convergence when y(t) = x(t) * h(t), where 1 H(s) ,Re{s} > –1 1+s (b) Prove that X(-jw) = X(jw) given that x(t) is real and even. (c) Use appropriate Fourier transform properties to prove the following: F 1 1 x(t)cosw, →-X(@ – wo) +;X(@ + wo)
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