4.2 Consider the following transfer function: Y(s) 3e- U(s) 1Os +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 oo? (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 whent-oo? ( If u() 6(), the unit impulse at 0, what is the output when-00? (g) If u(t) 5 sin 2t, what is the value of the output when

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