Consider the transfer function Y(s) 10 G(s) = U(s) 15s2 + 8s + 1 1. Find y(t) for the following inputs: (20 pts) a) Unit step input, i.e. u(t) = S(t), where S(t) is the step function. b) Unit rectangular pulse input, i.e. u(t) = S(t) - St-to), where S(1) is the step function, and to is the delay time (a constant). 2. Use final value theorem to determine y( to) for both inputs, and compare with the results calculated from the y(t) obtained in part 1. (10 pts)