Consider the following transfer function: 3e- Y (s) G (s) = U (s) 10s + 1 a. What is the steady-state gain? b. What is the time constant? c. If U(s) = 4/s, what is the value of the output y(t) when t 0? d. For the same input, what is the value of the output when t = 10? What is the output when expressed as a fraction of the new steady- state value? e. If U(s) = (1 - e-s/s, the unit rectangular pulse, what is the output when t ? f. If u(t) = (t), the unit impulse at t = 0, what is the output when t- o? g. If u(t) = 5 sin 2t, what is the value of the output when t 0?