Question: A laser printer uses a laser beam to print copy rapidly for a computer. The laser is positioned by a control input r(t), so that

A laser printer uses a laser beam to print copy rapidly for a computer. The laser is positioned by a control input r(t), so that we have
Y(s) = 4(s + 50) / s2 + 30s + 200 R(s).
The input r(t) represents the desired position of the laser beam.
(a) If r(t) is a unit step input, find the output y(t).
(b) What is the final value of y(t)?

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