Question $2$

Let $v=($:$x^{2}z,2-2xyz-3y+x^{2}y,3z-x^{2}z$:$)be$ the velocity field $of$ a fluid. Compute the flux $ofv$

across the surface $x^2+y^2+z^2=16$ where $y>0$ and the surface $is$ oriented away from the origin.

HINT: Use the Divergence Theorem!

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