How to show...
Let F be the vector field F=1/3(x^3)i+1/3(y^3)j , and let S be the unit circle r(t)=(cost)i+(sint)j for 0<t<2pi and let Q be the domain enclosed within the circle.
1) How to show that the tangential form of Green's Theorem is satisfied for the given field, curve and domain.
you're using the 3d equation when you want to use the 2d equation. Remember, N is the unit normal vector pointing perpendicular to the circle, and dont forget to convert to polar coords.