I.10.21 Flux of the Vector Field

Condition: Calculate the flow of the vector field \ [\ vec {a} = 2 x \ vec {\ iMath}-(x+y) \ vec {\ jmath}+z^{2} \ vec {k} \] a) through the full surface of the cylinder \ (v \) b) b) b) b) b) b) b) b) b) b) b) \ (V \), where \ [\ vec {a} = 2 x \ vec {\ iMath}-(x+y) \ vec {\ jmath}+z^{2} \ vec {k}, \ quad V: \ left \ {\ begin {array} {l} x^{2}+z^{2} = 4 \\ y = 0, y = 2 \ end {array} \ right. \]