Control Systems
The input-output relationship of a linear time invariant continuous time system is given by r(t) = d²c(t)/dt² + 3 dc(t)/dt + 2 c(t) Where r(t) and c(t) are input and output respectively. What is the transfer function of the system equal to?

 1/(s² + s + 2)
 2/(s² + 3s + 2)
 2/(s² + s + 2)
 1/(s² + 3s + 2)

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Control Systems
For a transfer function H (s) = P(s) / Q(s), where P (s) and Q (s) are polynomials in s. Then

 the degree of P (s) is always greater than the degree of Q (s).
  degree of P (s) is independent of degree of Q (s).
 maximum degree of P (s) and Q (s) differ at most by one.
 the degree of P (s) and Q (s) are same.

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