Consider the following transfer function:

(a) What is the steady-slate gain?

(b) What is the time constant?

(c) If U(s) = 2/s, what is the value of the output y(t) when t ? ??

(d) For the same U(s), 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, that is, the unit rectangular pulse, what is the output when t ? ??

(f) If u(t) ?(t), that is, the unit impulse at t = 0, what is the output when t ? ??

(g) If u(t) 2 sin 3t, what is the value of the output when t ? ??

Y(s) G(s) U(s) 10s + 1