Use the Laplace Transform and Inverse Laplace Transform to solve the following integral and integro-differential equations: a) b) f(t) = sin 2t+ f(t-T) sin T dr. 7 f(t)=t + f'(tr) exp(-a) d, f(0)=0. = exp(-2at)-a exp{-2a(t T)} (d) dr, x(0)=(0)=0.