182 Appendix A Solucioiis to the Exercises Y(s) = wo ' 1+w$ ~ + ( - w o - t - j ) ( - ~ j w o ) + ( - - w ~ ~ - ~ J )( s+~w~~) -ts+1 (52 iu.;)(2w; 2) + + Oh5erve [hat for the inverse L a p l t ~ traiisform r the iegioii of converge i:, the intcrsectioii of ROC{H} und RoC{X) i.e., ROC{Y) = {sl - iRe{s) < 0)