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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. $\omega =1\;\text{rad/s}$
  2. $\omega =2\;\text{rad/s}$
  3. $\omega =3\;\text{rad/s}$
  4. $\omega =4\;\text{rad/s}$
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