Please need an answer asap

a. Set up an integral for finding the Laplace transform of f(t) = t - 18. F(s) = ctf(t)) - help (formulas) where A = and B = b. Find the antiderivative (with constant term 0) corresponding to the previous part. . Evaluate appropriate limits to compute the Laplace transform of f(t): F(s) = [{f(t)) = d. Where does the Laplace transform you found exist? In other words, what is the domain of F(s)? help (inequalities) Find the Laplace transform of the following functions: 1. f(t) = sin(2t) cos(2t) Hint: : Use the double-angle formula. F(s) - 2. f(t) = cos (5t) Hint: : Use the half-angle formula. F(s) = Find the Laplace transform of the following functions: 1. f (t) = 7+4 + 2+3 + 612 + 4 F(s) = 6t+ + 7+3 2. f (t ) = t F(s) =