Can you please help me figure out how to solve this integral with and without Stokes' Theorem? The curl was [0,-1,-1]

Let S' be the surface of z = 9 - 2x2 - 2y which is above the plane z = 1 (oriented upwards) and also let F = (2x - 2y, y - z, x ty + z) (a) Find curl(F) (b) Calculate / curl(F) . dS without using Stokes' Theorem. (c) Calculate / / curl(F) . dS by using Stokes' Theorem