A linear time-invariant continuous-time system responds to the following inputs with the corresponding outputs:Ifx(t) = u(t), then y(t) = 2(1- e^-t)u(t) and if x(t) = cost,then y(t) = 1.414 cos(t - pi/4). Find y(t) for the following inputs
(a) x(t) = 2u(t) - 2u(t - 1)
(b) x(t) = 4 cos(2(t - 2))
(c) x(t) = 5u(t) + 10 cos(2t)
(d) X(t) = tu(t)