Given the following functions F(s), find the inverse Laplace transform [f(0) J of each function a. F(s) = 10s/(s^2 + 7s +6) Case1
b. F(s) = (s+2)^2/(s^2 + 4s +5) Case2
c. F(s) = (s^2 + 4s +8)/((s+1)(s+4)^2) Case3
d. F(s) = s+1/s(s^2 + 4s +5) Case4
e. F(s) = c^-s/(s + 1) Case5