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Laplace transform and z-transform

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16. Compute the inverse Laplace transform of X(s) = (s + 2)/(s^2 + 7s + 12)

17. The Laplace transform of e^(-10t)*cos(3t)u(t) is

18. Use the Laplace transform to compute the solution to the differential equation defined by dy/dt + 2y = u(t) where y(0) = 0.

19. Determine if the liner time invariant continuous time system defined by (s-1)/(s^2 + 4s + 5) is stable, marginally stable, or unstable.

20. Compute the z-transform of the discrete time signal defined by

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The solution provides examples fo finding the Laplace transform and z-transform of the signal. The solution is well presented and detailed.

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