Verify that the line integral and the surface integral of Stokes' Theorem are equal for the following vector field, surface S, and closed curve C. Assume that C has counterclockwise orientation and S has a consistent orientation. F = (y, x, 11); S is the upper half of the sphere x² + y²+z² = 16 and C is the circle x² + y² = 16 in the xy-plane. Construct the line integral of Stokes' Theorem using the parameterization r(t) = (4 cost, 4 sint, 0), for 0 st≤ 2t for the curve C. Choose the correct answer below. 2 OA. -16 dt O B. ○ C. ○ D. 0 2x S 0 2x S 2 0 S 0 32 dt 16dt - 32 dt Construct the surface integral of Stokes' Theorem using R = {(x,y): x² + y² ≤ 16) as the region of integration. Choose the correct answer below. ○ A. R dA O B. ملاء R dA OC -2√√ О R dA on-fa ○ D. -4 R dA Evaluate both integrals to verify that they are equal. What is the result? (Type an exact answer, using it as needed.)