I.10.3 Flux of the Vector Field

Condition: Find the flow of the vector field \ (\ vec {f} \) through the surface (s) directly by definition: \ [\ begin {array} {l} \ vec {a} = (1+ \ sqRt {z}) i++(4 y- \ sqrt {x}) i+x y k \\ y K \\ y K \\ S: \ Left \ {\ Begin {Array} {C} Z^{2} = 4 \ Left (x^{2}+Y^{2} \ RIGHT) \\ Z = 3, X \ GEQ 0 {Array} \ Right. \ end {Array} \]