Consider the following transfer function: 4.2 Y(s) U(s) Зе-т G(S) = 10s1 (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 too? (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, the unit rectangular pulse, what is the output when t o? (f) If u(t) 6(t), the unit impulse at t = 0, what is the output when to? (g) If u(t) 5 sin 2t, what is the value of the output when too?

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