Given that f(t) = 4e-³(t-4), a) Find £ [f(t)] by differentiating f (t) and then using the Laplace transform dt tables in lecture notes on pages 18 and 19 b) Find £ [C] using the theorem for differentiation dt c) Repeat a) and b) for the case that f(t) = 4e¯³(t−4)u(t − 4)