Use the divergence theorem to calculate the flux of −→f (x, y, z) = hx 3 , y3 , −3z 2 i through the boundary of the solid t given by x 2 + y 2 ≤ 4, 0 ≤ z ≤ 2. assuming −→f is the velocity field of a fluid, is the net flow into the solid t, or out of t?

I suppose

whose divergence is

By the divergence theorem, the flux of across the boundary of is equal to the integral of over :

The volume integral is easily computed in cylindrical coordinates; take

3030 ur welcome

step-by-step explanation:

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

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