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. a. G(s): = b. G(s) = c. G(s) d. G(s) = e. G(s) - f. G(s) = = g. G(s) = h. G(s) = i. G(s) = 1 s(s+2)(s+3) 10 (8 + 1)² (s+3) 100 (s + 2) s(s² + 4)(s+1) 2(s+1) $(s² + s +2) 1 (8 + 1)³ -8 e 2(s² + s + 1) s(s+1.5)(s² +58 +5) 2+2se4e-2s s² +38 +2 2s+1 s36s211s +6 3s310s288 +5 8458378²+5s +6