Control Systems
Which one of the following is the response y(t) of a casual LTI system described by H(s) = (s+1)/(s²+2s+2) for a given input x(t) = e-t u(t)?

 e-t sint*u(t)
 e-t cott*u(t)
 e-t cost*u(t)
 e-t tant*u(t)

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

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