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A system with transfer function

$$G(s)=\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$$

is excited by $\sin(\omega t)$. The steady-state output of the system is zero at

  1. $\omega=1\:rad/s$
  2. $\omega=2\:rad/s$
  3. $\omega=3\:rad/s$
  4. $\omega=4\:rad/s$
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