2. A process consists of an integrating element operating in parallel with a first-order element: (a 5 pts.) What is the order of the overall transfer function, G(s)=Y(s)/U(s) ? Figure 1: Control Block Diagram (b 5 pts.) What is the gain of G(s) ? (Note: Not the steady state gain) (c 5 pts.) What are the poles of G(s) ? Where are they located in the complex s-plane? (d 5 pts.) What are the zeros of G(s) ? Where are they located? Under what condition(s) will one or more of the zeros be located in the right-half s-plane? (e 5 pts.) For any input change, what functions of time (response modes) will be included in the response, y(t) ? (f 5 pts.) Is the output bounded for any bounded input change, for example, u(t)=M