Consider the following transfer function:                                           G(s)=Y(s)/U(s)=3e−s/{10s+1}                                                                        (a)What is the steady-state gain?                                                                    (b)What is the timeconstant?                                                                             (c)If U(s)=4/s, what is the value of the output y(t) when t→∞?                  (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)=δ(t), the unit impulse at t=0, what is the output when t→∞?(g)If u(t)=5 sin 2t, what is the value of the output when t→∞

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Consider the following transfer function:                                           G(s)=Y(s)/U(s)=3e−s/{10s+1}                                                                        (a)What is the steady-state gain?                                                                    (b)What is the timeconstant?                                                                             (c)If U(s)=4/s, what is the value of the output y(t) when t→∞?                  (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)=δ(t), the unit impulse at t=0, what is the output when t→∞?(g)If u(t)=5 sin 2t, what is the value of the output when t→∞

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