The dynamic model of a process in deviation variable form is given by: dy 18 + 3y = 6m - 9m2 +12d dt Where y is output variable, me and my are manipulated variables, and d is disturbance variable. (a) Determine the transfer functions of the process. (3 marks) (b) Represent the transfer functions in (a) using block diagram. (1 mark) (c) Determine the time constants and steady state gain of the process. (1 mark) (d) Analyse the response of the process if the manipulated variable (my) increases by 3 and maintained there. (3 marks) (e) How many time constants are required for this process to reach the new steady-state? Explain your answer. (3 marks) (1) Given the steady-state value of the output as 50 litres, calculate the output response for the given step change in part (d). (4 marks)