MathProblemsBank

I. 10.14 Flux of the Vector Field

Condition: for vector field \ (\ vec {f} (x, y, z) = \ left (x z, y z, z^{2} \ right) \) Find the flow through the surface \ (s \), where \ (s \)-part \ (z = 2 \) (z = 2 \) (z = 2 \) (z = 2 \) (z = 2 \) (z = 2 \) (z = 2 \) (z = 2 \) (z = 2 \) \ left \ \ begin {array} {c} x^{2}+y^{2}+z^{2} = 9 \\ z \ text {decreases \ end {arry} \ right.