to the basic, advanced, and extension categories, respectively. BASIC PROBLEMS WITH ANSWERS 9.1. For each of the following integrals, specify the values of the real parameter o which ensure that the

integral converges: (a) e-Ste-(+jw)t dt (b) (c) [5 e-(o+jw)t dt (e) e-le-(a+jw)t dt 9.2. Consider the signal (d) 0 -Ste-(a+jw)t dt ¹e-(o+jw)t dt -5\t\-(o+jw)t dt e x(t) = e-stu(t 1), and denote its Laplace transform by X(s). (a) Using eq. (9.3), evaluate X(s) and specify its region of convergence. (b) Determine the values of the finite numbers A and to such that the Laplace trans- form G(s) of