Consider the functions f (t) = e and g(t) = e-" defined on 0 s t

= et and g(t) = Consider the functions f (t) (a) (f* g)(t) can be calculated as h(w, t) dw e 9t defined on 0 t < 00. Enter the function h(w, t) into the answer box below. (b) (f* g)(t) can also be calculated as Y 1{H(s)}. Enter the function H(s) into the answer box below. (c) Evaluate (f* g)(t) Enter your answer as a symbolic function of w,t, as in these examples Enter your answer as a symbolic function of s, as in these examples Enter your answer as a symbolic function of t, as in these examples