Consider the transfer function: G(s)=U(s)Y(s)=10s+15es a. What is the steady-state gain? b. What is the time constant? c. If U(s)=s4, what is the output of y(t) as 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 steady-state value that results from this input? e. If U(s)=s1es, the unit rectangular pulse, what is the output of y(t) as t ? f. If u(t)=(t), the unit impulse at t=0, what is the output of y(t) as t