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We are given the following five facts about a real signal x(t) with Laplace transform

Chapter 9, Problem 9.27

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QUESTION:

We are given the following five facts about a real signal x(t) with Laplace transform X(s): 1. X(s) has exactly two poles. 2. X (s) has no zeros in the finite s-plane. 3. X(s) has a pole at s = -1 + j. 4. e2' x(t) is not absolutely integrable. 5. X(O) = 8. Determine X(s) and specify its region of convergence.

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QUESTION:

We are given the following five facts about a real signal x(t) with Laplace transform X(s): 1. X(s) has exactly two poles. 2. X (s) has no zeros in the finite s-plane. 3. X(s) has a pole at s = -1 + j. 4. e2' x(t) is not absolutely integrable. 5. X(O) = 8. Determine X(s) and specify its region of convergence.

ANSWER:

Step 1 of 4

Given that,


The property of the Laplace transform.

                 

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