Given the following velocity profile for steady flow around a sphere, determine if the fluid is incompressible. Is it also irrotational?

\(v_{r}=v_{\infty} \cos \theta\left[1-\frac{3}{2}\left(\frac{r_{o}}{r}\right)+\frac{1}{2}\left(\frac{r_{o}}{r}\right)^{3}\right] \quad v_{\theta}=-v_{\infty} \sin \theta\left[1-\frac{3}{4}\left(\frac{r_{o}}{r}\right)-\frac{1}{4}\left(\frac{r_{o}}{r}\right)^{3}\right] \quad v_{\phi}=0\)