Question

The signal x(t) has a Laplace Transform X(s) = 5 / (s^2(s+1)), Re(s) > 0. (a) Find the LT of y1(t) = x(4t - 1). (b) Find the LT of y2(t) = te^(-5t)x(t). (c) Find the LT of y3(t) = integral_0^t x(tau/4) d tau. (d) Find the initial and final values of the signal x(t), if they exist.

          The signal x(t) has a Laplace Transform X(s) = 5 / (s^2(s+1)), Re(s) > 0.
(a) Find the LT of y1(t) = x(4t - 1).
(b) Find the LT of y2(t) = te^(-5t)x(t).
(c) Find the LT of y3(t) = integral_0^t x(tau/4) d tau.
(d) Find the initial and final values of the signal x(t), if they exist.

The signal x(t) has a Laplace Transform X(s) = 5 / (s^2(s+1)), Re(s) > 0.
(a) Find the LT of y1(t) = x(4t - 1).
(b) Find the LT of y2(t) = te^(-5t)x(t).
(c) Find the LT of y3(t) = integral0^t x(tau/4) d tau.
(d) Find the initial and final values of the signal x(t), if they exist.

Added by Xavier P.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Adi S

09/07/2023

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The signal x(t) has a Laplace Transform X(s) = 5 / (s^2(s+1)), Re(s) > 0. (a) Find the LT of y1(t) = x(4t - 1). (b) Find the LT of y2(t) = te^-5t x(t). (c) Find the LT of y3(t) = integral from 0 to t of x(tau/4) d tau. (d) Find the initial and final values of the signal x(t), if they exist.