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(All Steps) Use the Divergence Theorem to calculate the flux of F(x, y, z)=< x^3, y^3,-3 z^2> through the boundary of the solid T given by x^2+y^2 ≤q

Question: Use the Divergence Theorem to calculate the flux of $\vec{F}(x, y, z)=\left\langle x^{3}, y^{3},-3 z^{2}\right\rangle$ through the boundary of the solid $T$ given by $x^{2}+y^{2} \leq 4,0 \leq z \leq 2$. Assuming $\vec{F}$ is the velocity field of a fluid, is the net flow into the solid $T$, or out of $T ?$

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(All Steps) Use the Divergence Theorem to calculate the flux of F(x, y, z)=< x^3, y^3,-3 z^2> through the boundary of the solid T given by x^2+y^2 ≤q

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