3-13. Find the inverse Laplace transforms of the following functions. First, perform partial-fraction expansion on G(s); then, use the Laplace transform table. 1 G(s)= (a) s(s+2)(s+3) 10 G(s)= (b) (s+1)²(s+3) 100(s+2) G(s): (c) s(s²+4)(s+1) 2(s+1) G(s) = (d) s(s²+s+2) 1 G(s) = (e) (s+1)³ 2(s²+s+1) G(s) = (f) s(s+1.5)(s²+5s+5) 2+2ses+4e2s G(s)= (g) s²+3s+2 2s+1 G(s)= (h) s³+6s²+11s+6 3s³ +10s²+8s+5 G(s) = s+5s3+7s+5s+6 267