F: A system with the following transfer function

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

is excited by $sin(wt).$ The steady$-$state output is zero at

$w=5\frac{\text{r}\text{a}\text{d}}{s}$

$w=2\frac{\text{r}\text{a}\text{d}}{s}$

$w=1\frac{\text{r}\text{a}\text{d}}{s}$

$w=4\frac{\text{r}\text{a}\text{d}}{s}$

$w=3\frac{\text{R}\text{a}\text{d}}{s}$