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