Question

let A be the portion of paraboloid, z=4-x^2-y^2,z>>0 oriented outward where C is the boundary of A at xy plane.verify stoke's theorem if F(x,y,z) = 2Zi +3Xy+5Yk

Answer 1

Stoke's Theorem is
\[\iint_S \operatorname{curl}\mathbf{F}\cdot d\mathbf{S}=\oint_C F~ ds\]
right?