Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = x i+ 2xj + z-k around the curve C: the ellipse 9x- +y- = 10 in the xy-plane, counterclockwise when viewed from above. OF . dr = C (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 = 2zi + 5xj + 4yk across the surface S: r(r,0) =r cos Oi + r sin Oj + (9-r") k, Or