1. Find the Inverse Laplace Transform of the following:
(a) F(s) = (2s + 5)/(s2 + 5s + 6)
(b) F(s) = 10(s + 1)/(s2 + 4s + 3)
(c) F(s) = 10(s + 1)/(s2 + 4s + 8)
2. For the systems below, find H(s) and the poles and zeros:
(a) y'' + 8 y' + 116 = 11x
(b) y' + 4y = 3x
(c) y'' + 4y' + 20y = 2x' - x
3. Find the Inverse Laplace Transform of:
x(s) =(s2 - 2s + 1)/(s3 + 3s2 + 4s + 2)