2: The piecewise function 71 0 5 t - 5 g(t) 35 5

2: The piecewise function 35 5 < t < 9 e2t t 29 can be written in the form g(t) = r(t) + 5) + 9) (a) Find p(t). (b) Find q(t). (c) Find the Laplace transform ofp(t) 'tl(t 5). (d) Find the Laplace transform of 9). Enter your answer as a symbolic function of t, as in these t2(a): examples Enter your answer as a symbolic function of t, as in these exmptes Enter your answer as a symbolic function of s, as in these examples Enter your answer as a symbolic 2(d): function of s, as in these examples