Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F = 2zi + 3xj + 3yk across the surface S: r(r,0) =r cos 0i + r sin 0j + (16-r ) k, Osrs4, 0502x in the direction away from the origin. The flux of the curl of the field F is. (Type an exact answer, using it as needed.)Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction away from the origin. F = 4yi + (5 - 4x)j + (22 - 2)k S: r(q), 0) = (2 sin () cos 0)i + (2 sin ( sin 0)j + (2 cos ()k, Ososx/ 2, 0=0s2n The flux of the curl of the field F across the surface S in the direction of the outward unit normal n is (Type an exact answer, using it as needed.)