I.10.22 Flux of the Vector Field

Condition: calculate the flow of the vector field \ (\ vec {a} \) through a closed surface that limits the body \ (v \) a) according to the Gauss-Ostrogradsky formula, b) directly: \ [\ vec {a} = 2 y^{2} \ \ imath}+x^{2} {2} \ vec {\ jmath} +4 x z \ vec {k}, \ quad v: \ left \ {\ begin {array} {c} x = 0, y = 0, z = 0 \\ z = 2, x+y = 3 \ end {arrayy} . \ Right. \]