Q3. (8 marks) By linearizing the first-principles model for a CSTR in which a first-order an exothermic reaction is taking place and the resulting approximate model for the reactor the temperature response to changes in jacket cooling water flow rate is given by the following continuous Laplace domain transfer function: G(s)=(5s1)(2s+1)0.55 The time constants are in minutes. a. Investigate the stability of the closed-loop system under analog proportional control (Kc). ( 2 marks) b. If the z-transform of G(s) including zero order hold is given by: HG(z)=z21.828z+0.74080.02515z0.02276 Investigate the stability of the closed-loop system under digital proportional control (Kc) incorporating zero-order hold. (4 marks) c. From the results obtained above, what conclusion can you make when using the same parameters of continuous controller in the digital controller? Justify your answer. (2 marks)