Please Answer (C). I will instantly upvote clear and step by step answer. Please Don't copy and paste answer from Chegg (i will dislike).

A process can be represented by the following transfer functions: y*(s) = 554 72'(6) -65+1 2 u*(s 5s + 1 1 5s d*(s) where y is a process variable, u is a manipulated variable and d is a disturbance to the process. An integral-only controller is to be used to regulate this process. b) Derive an expression for the closed-loop response of the process when under integral-only control. c) (i) Use the expression from part b) to determine the maximum integral gain, K, (K, = *), that can be used before the control response tends to oscillate? [3 marks] (ii) Calculate the value of K, that will result in a response with a damping coefficient of 7 = 0.25