4.3-2. (a) Find the system response at the sampling instants to a unit step input for the system of Fig. P4.3-2. Plot c(nT) versus time. (b) Verify your results of (a) by determining the input to the plant, m(t), and then calculating c(t) by continuous-time techniques. (c) Find the steady-state gain for a constant input (dc gain), from both the pulse transfer function and from the plant transfer function. (d) Is the gain in part (c) obvious from the results of parts (a) and (b)? Why? Zero-order hold Plant E(s)= 1-E-Ts M(s) 2s C(s) T=0.5 s S $+0.2 FIGURE P4.3-2 System for Problem 4.3-2. 4.3-3. Repeat Problem 4.3-2 for the case that T = 0.2 s and the plant transfer function is given by: (a) G(s) = (b) Gp(s) = 8 s² + 3s + 2 5 s² + 4s + 4 Verify each G(z) by computer.