MathProblemsBank

I. 10.12 Flux of the Vector Field

Calculate the flow of the vector field \ (\ vec {a} = \) \ ((\ cos z+3 x) \ vec {\ iMath}+(x-2 y) \ vecath}+\ left (3 z+y^^right) \ vec {k} \ quad \) through a closed surface according to the Gaussaostograd formula: \ [s: z^{2} = 36 \ left (x^{2}+z^{2} \ right), \ quad z = 6 \]