I. 10.10 Flux of the Vector Field

Calculate the flow of the vector field \ (\ vec {a} \) through the full surface of the cone directly and according to the Gaussa-Ostrogradsky formula: \ [\ vec {a} = (y-x) \ vec}+y \ vec {\ jmath} +2 z \ vec {k}, \ quad S: \ left \ {\ begin {array} {l} z^{2} = x^{2}+y^{2} \\ z = 1 \ end {arry} \ right. \]