ECE3085 - Homework #6Due: Feb. 18, 2009This homework is pretty much a review for the quiz. To make sure that you have some metric, complete or partialsolutions are given. As such, the problems are worth less than usual, except for the last one, which is not a quizproblem. They don’t test everything, but do cover some important elements. You are best advised to study the coursenotes, the homeworks plus solutions, and (naturally) the textbook (Chapter 3). It is possible that these problems area bit harder than the actual test. If you do manage to complete the first five problems of this homework in under 80minutes, then you are good to go. Just make sure you also understand the significance of it all, since I may test you onthat kind of understanding.If I made a mistake and you catch it, then you get double for the problem. I am certain they are correct, but it islate and I am a bit tired.Problem 1.(4 pts)What is the inverse Laplace transform ofF(s) =2(s+ 1)(s+ 2)2Answer:2e-t-2e-2t-2te-2t.Problem 2.(4 pts)What is the step response of the following system...x+ 11¨x+ 10˙x= 10uassuming zero initial state. Is the response bounded or unbounded, e.g., is the limit
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