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The Laplace Transform
Read Chapter 3 in the textbook Signals and Systems Using MATLAB.>?Read the Lecture "W4 Lecture 2 - Laplace Transform".Download and review the supplemental questions.Work the following six problems below for submission.Submit homework solutions via Assignment Upload Tool. Show all work for full credit. 1. The Laplace transform of e-10t u(t) is? 2. The Laplace transform of (t2cosωt) u(t) is? 3. By using the Laplace transform, compute the convolution x(t) * v(t) of the two signals? where x(t)=e-3t u(t) and v(t) = (5sint )u(t) 4. Compute the inverse Laplace transform of X(s) = (3s2 + 2s + 1)/(s3 + 5s2 + 8s + 4)?
5. Use Laplace transforms to compute the solution to the differential equation given below?
Where y(t)=0 ;y(t)=1
6. Determine the final value of X(s) = (3s2 + 4s + 1)/(s4 + 3s3 + 3s2 + 2s)?
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