Find the convolution f(t) * g(t) for the following problem. f(t) = g(t) = 12 sint (f * 9)(t) =Find the convolution f(t) * g(t) of the following functions. f(t)=g(t)=4e'='t (f * g)(t) = E (Type an exact answer in terms of e.) Use the convolution theorem to find the inverse Laplace transform of the given function. (s + 4)(s + 5) (s + 4)(s + 5) J (t)Apply the theorem of differentiation of transforms to nd the Laplace transform of the given function. rm = 7t sin 9t 5 Click the icon to view the table of Laplace transforms. C 2m sin 9t} = |:| s > c. (Type an expression using 3 as the variable.)