474 Appendix A Solutions 10 thc Exercises olution 4.8 ~ ( = t )~ ( t0-e) X(S)= -, Re{§} > 11 with the shift tireorein: I c-'"E(~) o X ( S +a) = , s +n HI first scale transform pair with n ~( t) o Re{s} > lZc{-a} = -1 iii timc: $r - = X(s)Re{s} < 0, S theii use the shift theoreni: -p-"fE(-f) IV see Eg 4.48 V see Eq 4.49 X(S) = _ , R~{s}< R c { - ~ ) s i u