I. 10.13 Flux of the Vector Field

Calculate the flow of the vector field \ (\ vec {a} = 3 x \ vec {\ iMath} -z \ vec {\ jmath} \) through the closed surface according to the Gaussa-Rostograd formula: \ [s: z = 6-x^{2} -y^{2}, \ QUAD z^{2} = x^{2}+y^{2} (z \ geq 0). \]