Verify Stokes' theorem for the vector field F(x, y, z) = zì + xj+ yk taken over the half of the sphere x + y + z = a² lying above the xy-plane; where C is %3D the boundary of this sphere is on the...

Extracted text: Verify Stokes' theorem for the vector field F(x, y, z) = zì + xj+ yk taken over the half of the sphere x + y + z = a² lying above the xy-plane; where C is %3D the boundary of this sphere is on the surface z = 0 with anti-clockwise orientation looking down the positive z- axis.