Problem 2. Given that f(t) = 2e-2±+6. (a) Find Laplace transform of df(t)/dt by differentiating f(t) and then using the Laplace transform tables. (b) Find Laplace transform of df(t)/dt by using the theorem for differentiation. (c) Repeat (a) and (b) for the case that f(t) = 2e2t+61(t −3).