Find the time function corresponding to each of the following Laplace transforms using partial-fraction expansions: (a) F(s) = 2/s(s+2) (b) F(s) = 10/s(s+1)(s+10) (c) F(s) = 3s + 2/s^2 + 4s + 20 (d) F(s) = 3s^2 + 9s + 12/(s + 2)(s^2 + 5s + 11) (e) F(s) = 1/s^2 + 4 (f) F(s) = 2(s + 2)/(s + 1)(s^2 + 4) (g) F(s) = s + 1/s^2 (h) F(s) = 1/s^6 (i) F(s) = 4/s^2 + 4 (j) F(s) = e^-t/s^2
