A negative unity feedback system has the forward path transfer function given as:
G(s) = 2(s+8)/s(s+4)
a) Determine the closed-loop transfer function, T(s) = Output/Input = Y(s)/R(s)
b)Find the time response, y(t) for a step input of r(t) = A for t>0
c)Using the final-value theorem, determine the steady-state value of the output y(t)