Q1: Find the initial and final values of f (t) for the following functions F(s) by applying the initial and final value theorems, respectively. Here F(s) in the one-sided Laplace transform of f (t). If it is not possible to apply the initial and/or final value theorems, explain why that is so. (a) F(s) = (s-3)(s+2)(2s+3) s(3s+2)(s+4)(4s+5) (0.1s-1)(0.2s+3) (b) F(s) = 10 (c) F(s) = 50 (d) F(s) = 20 (e) F(s) = s² (s²+4) (s+4)(s+5) (s−1)(s+2)(s+3) s²+4 s(s+1) 6s²-1 $2