Find the INVERSE Laplace Transforms of the following:
a. F(s) = 1/2s^2 +4s +1
b. F(s) = 1/2s^2 +4s +3
c. F(s) = 1/s(s^2 +2s +2)
d. F(s) = -2s/(s^2+4)^2
e. F(s) = e^-7s / s^2+2s+2