A fluid has density $1$ and velocity field $.$

Find the rate of flow $($the flux of density times velocity$)$ outward through the sphere $.$

Hint: Hint: Apply the divergence theorem to the local mass flux vector field $($the density times the veloA fluid has density $1$ and velocity field $.$

Find the rate of flow $($the flux of density times velocity$)$ outward through the sphere $.$

Hint: Hint: Apply the divergence theorem to the local mass flux vector field $($the density times the velocity vector field$),$ and use the fact that the density is constant.city vector field$),$ and use the fact that the density is constant.

Your answer should be an expression of x and y; e$.$g$."3$x $-4$y$"$