1. Simplify the following block diagrams and obtain the closed-loop transfer function Y(s)/R(s). (a) (b) G R(s) Y(s) R(s) Y(s) G, G, H H G. Figure 1. Block diagrams of two systems. 2. Obtain the transfer functions Y(s)/R(s) and Y(s)/D(s) of the system shown in Figure 2. D(s) R(s) Y(s) G, C G G, H, - , Figure 2. Control system. 3. Consider the system described by: y+3+2y+5y= u Derive a state-space representation of the system.