Q1 (a) Find the Laplace transform of e3tu(t) by using definition. (b) Given the following facts about a real signal x(t) with Laplace transform of X(s). X(s) has exactly two poles. X(s) has no zeros in the finite s-plane. X(s) has poles at s = -2 + 3j and s = -2 – 3j. X (0) = 2. e3tx(t) is not absolutely integrable, therefore e3tx(t) is not stable. Determine X(s) and specify its region of convergence.

Q1 (a) Find the Laplace transform of e3tu(t) by using definition. (b) Given the following facts about a real signal x(t) with Laplace transform of X(s). X(s) has exactly two poles. X(s) has no zeros in the finite s-plane. X(s) has poles at s = -2 + 3j and s = -2 – 3j. X (0) = 2. e3tx(t) is not absolutely integrable, therefore e3tx(t) is not stable. Determine X(s) and specify its region of convergence.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.16P

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