9.21. Determine the Laplace transform and the associated region of convergence and pole- zero plot for each of the following functions of time: (a) x(t) = e21 u(t) + e −31 u(t) == (c) x(t) = e²u(t) + e³¹ u(t) te-21 (e) x(t) ====== (g) x(t) = { 1, 0 ≤t ≤1 0, elsewhere (i) x(t) = 8(t) + u(t) (b) x(t) = et u(t) + est (sin 5t)u(t) (d) x(t) = te-2|1| (f) x(t) == (h) x(t) = { (j) x(t) = teu(-1) t, 2 0 ≤ t≤ 1 - t, 1 ≤ i ≤ 2 8(31) + u(31)
9.21. Determine the Laplace transform and the associated region of convergence and pole- zero plot for each of the following functions of time: (a) x(t) = e21 u(t) + e −31 u(t) == (c) x(t) = e²u(t) + e³¹ u(t) te-21 (e) x(t) ====== (g) x(t) = { 1, 0 ≤t ≤1 0, elsewhere (i) x(t) = 8(t) + u(t) (b) x(t) = et u(t) + est (sin 5t)u(t) (d) x(t) = te-2|1| (f) x(t) == (h) x(t) = { (j) x(t) = teu(-1) t, 2 0 ≤ t≤ 1 - t, 1 ≤ i ≤ 2 8(31) + u(31)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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This is a practice problem from the Signals and Systems course in my Electrical Engineering program.
Could you please walk me through the steps of solving it so that I can solve more complicated ones in the future?
Thank you for your assistance.

Transcribed Image Text:9.21. Determine the Laplace transform and the associated region of convergence and pole-
zero plot for each of the following functions of time:
(a) x(t) = e21 u(t) + e −31 u(t)
==
(c) x(t) = e²u(t) + e³¹ u(t)
te-21
(e) x(t)
======
(g) x(t) = {
1, 0 ≤t ≤1
0, elsewhere
(i) x(t) = 8(t) + u(t)
(b) x(t) = et u(t) + est (sin 5t)u(t)
(d) x(t) = te-2|1|
(f) x(t)
==
(h) x(t) =
{
(j) x(t) =
teu(-1)
t,
2
0 ≤ t≤ 1
-
t,
1 ≤ i ≤ 2
8(31) + u(31)
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