9.21. Determine the Laplace transform and the associated region of convergence and pole- zero plot for each of the following functions of time: = (e) x(t) = te-21 (f) x(t) = (g) x(t) = { 0, 1, 0 ≤ i ≤ 1 elsewhere (h) x(t) (j) x(t) = (i) x(t) = d(t) + u(t) |t|e² u(−t) { t, 2- t, 0 ≤t ≤ 1 1 ≤ 1 ≤ 2 8(3t) + u(3t)

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This is a practice problem from the Signals and Systems course in my Electrical Engineering program.

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9.21. Determine the Laplace transform and the associated region of convergence and pole-
zero plot for each of the following functions of time:
=
(e) x(t)
=
te-21
(f) x(t)
=
(g) x(t)
=
{
0,
1, 0 ≤ i ≤ 1
elsewhere
(h) x(t)
(j) x(t)
=
(i) x(t) = d(t) + u(t)
|t|e² u(−t)
{
t,
2- t,
0 ≤t ≤ 1
1 ≤ 1 ≤ 2
8(3t) + u(3t)
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: = (e) x(t) = te-21 (f) x(t) = (g) x(t) = { 0, 1, 0 ≤ i ≤ 1 elsewhere (h) x(t) (j) x(t) = (i) x(t) = d(t) + u(t) |t|e² u(−t) { t, 2- t, 0 ≤t ≤ 1 1 ≤ 1 ≤ 2 8(3t) + u(3t)
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