Consider the following inverse Laplace problems: (a) Use MATLAB to compute the inverse Laplace transform of Determine

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Consider the following inverse Laplace problems:

(a) Use MATLAB to compute the inverse Laplace transform of

s²+ 2s +1 X(s) = s(s + 1)(s² + 10s + 50)

Determine the value of x(t)in the steady state. How would you be able to obtain this value without computing the inverse? Explain.

(b) Find the inverse x(t)of

(1 – se-“) s(s + 2) X(s) :

Use MATLAB to plot x(t)and to verify your inverse.

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