Begin with the paraboloid z = x² + y², for 0 ≤z≤ 16, and slice it with the plane y = 0. Let S be the surface that remains for y ≥ 0 (including the planar surface in the xz-plane) (see figure). Let C be the semicircle and line segment that bound the cap of S in the plane z = 16 with counterclockwise orientation. Let F= (3z + 2y, 3x + 2z, 3y + 2x). Complete parts (a) through (c) below. a. Describe the direction of the vectors normal to the surface. Choose the correct answer below. O A. The normal vectors point away from the z-axis on the curved surface of S and in the direction of (0, 1,0) on the flat surface of S. B. The normal vectors point toward the z-axis on the curved surface of S and in the direction of (0, -1,0) on the flat surface of S. C. The normal vectors point away from the z-axis on the curved surface of S and in the direction of (0, -1,0) on the flat surface of S. D. The normal vectors point toward the z-axis on the curved surface of S and in the direction of (0, 1,0) on the flat surface of S. • SS₁v» S b. Evaluate (VxF).nds. JS (₂ S (Type an exact answer, using as needed.) (VxF)•ndS= c. Evaluate @ff.. Fdr and check for agreement with part (b). с 16 ff. dr = с (Type an exact answer, using as needed.) S с z=x² + y² y