Question 2 (13 marks) For the two systems given below, (i) obtain the transfer function, (ii)...

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Question 2 (13 marks) For the two systems given below, (i) obtain the transfer function, (ii) determine whether the Final Value Theorem applies and explain your reasoning, (iii) if the Final Value Theorem applies, find the steady state value of y(t). Assume that the input is a unit step u(t) = 1 for t ≥ 0. dy(t) (a) = -3y(t) +9u(t) dt dy(t) dt = 3y(t) + 9u(t) (8 marks) (5 marks) Question 2 (13 marks) For the two systems given below, (i) obtain the transfer function, (ii) determine whether the Final Value Theorem applies and explain your reasoning, (iii) if the Final Value Theorem applies, find the steady state value of y(t). Assume that the input is a unit step u(t) = 1 for t ≥ 0. dy(t) (a) = -3y(t) +9u(t) dt dy(t) dt = 3y(t) + 9u(t) (8 marks) (5 marks)