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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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