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. 2 F= (y - z,z-x, x- y); S is the cap of the sphere x +y +z = 16 above the plane z= V15 and C is the boundary of S. Construct the line integral of Stokes' Theorem using the parameterization r(t) = (cos t, sin t, y 15), for 0sts 2n for the curve C. Choose the correct answer below. A. |(-1+ V15 sint+ v 15 cos t) dt 2 . | (1- V15 sint- V15 cos t) dt OC. |(- V15 sint- V15 cost) dt O D. (V15 sint+ 15 co cos t) dt Construct the surface integral of Stokes' Theorem using R= {(x,y): x +y