(1 point) Calculate the circulation, F. dr, in two ways, directly and using Stokes' Theorem. The vector field F-4yi-4xj and C is the boundary of S, the part of the surface z = 9-x²-12 above the .xy- plane, oriented upward. Note that C is a circle in the xy-plane. Find a r(t) that parameterizes this curve. r(t) = with (Note that answers must be provided for all three of these answer blanks to be able to determine correctness of the parameterization.) With this parameterization, the circulation integral is ScF. dr = fo dt, where a and b are the endpoints you gave above. Evaluate your integral to find the circulation: ScF-dr= Using Stokes' Theorem, we equate JF dr=curl FdA. Find curl F = Noting that the surface is given by z = 9-x²-y, find dA = dy dx. With R giving the region in the xy-plane enclosed by the surface, this gives Js curl F. dA= JR dy dx. Evaluate this integral to find the circulation: JF dr=f, curl FdA=