Use the linearity properties of the Laplace transform and the basic functions to calculate L {f (t)}.

a) f(t) = 4t 10 b) f(t) = t2 + 6t 3 c) f(t) = (t+1)3 d) f(t) = 1+et e) f(t) = (1+ e24) f) f(t) = 4t2 5 sin(3t)