I.10.24 Flux of the Vector Field

Condition: Find the flow of the vector field \ (\ vec {a} = y \ vec {\ iMath}+x \ vec {\ jmath}+z^{3} \ vec {k} \) through: a) the surface of the sphere \ ( x^{2}+y^{2}+z^{2} = 9 \); b) the section of this sphere with a plane \ (x = \ sqrt {5} \).