Control Systems
The impulse response of a system is c(t) = -te-t + 2 e-t (t>0). Its closed loop transfer function is

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

  degree of P (s) is independent of degree of Q (s).
 the degree of P (s) is always greater than the 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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