Question

Consider the functions  f (t)  =  e t and  g(t)  =  e−3t  defined on  0  ≤ ...

Consider the functions  f (t)  =  e t and  g(t)  =  e−3t  defined on  0  ≤  t  <  ∞.
(a) ( f ∗ g)(t) can be calculated as
t
∫
0
h(w, t) dw

Enter the function h(w, t) into the answer box below.
(b) ( f ∗ g)(t) can also be calculated as ℒ  −1{H(s)}. Enter the function H(s) into the answer box below.
(c) Evaluate ( f ∗ g)(t)
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