I.10.20 Flux of the Vector Field

Condition: Find the field of fields \ (\ vec {a} \) through the surface \ (s \): \ [\ begin {array} {l} \ vec {a} = 2 x y \ vec {\ iMath} +4 y z {\ jmath}+y^{2} \ vec {k} \\ s: \ left \ {\ begin {array} {c} x+3 y+6 z = 6 \\ x \ geq 0, \ quad y \ geq 0, \ quad z \ end {array} \ right. \ end {Array} \]