2) Calculate the total outward flux of the curl of the vector field \(\vec{A} = \hat{r}\frac{1}{r^2}\cos\theta + \hat{\theta}r\sin\theta\cos\phi + \hat{\phi}\cos\theta\) through the hemisphere \(r = 3\), \(\theta \in [0, \pi/2]\), \(\phi \in [0, 2\pi)\)
