Question 1: Find the inverse LT of the following functions. 45- + 5 - 8 3s* -5s' +17s- -22s +12 (a) X(s) = (b) X (s) =- $3 - 352 - 45 $3 -52+45 -4 Answers: (a) x(t ) = (2 -e +3e# ) u(t) (b) x(t) = 38'(t) - 28(t) +el + 2 cos(2t) ) u(t) 1-2s Question 2: Given X(s) = - (s + 1) (s +4) (i) Find all possible inverse bilateral Laplace transform of X(s). (ii) Label each time function x(t) as causal, noncausal, or two-sided. (iii) Label each time function x(t) as BIBO stable or not BIBO stable. (iv) Give the initial and final values for each case. Answers: 1 - (ii) Re(s) -1, x(t) = e-tu(t) - 3e-4tu(t), causal, stable -4