Verify that the line integral and the surface integral of Stokes' Theorem are equal for the following vector eld. surface S, and closed curve C. Assume that C has counterclockwise orientation and S has a consistent orientation. F = (y, x,14); S is the upper half of the sphere x2 + y2 +22 =1 and C is the circle x2 + y2 =1 in the xy-plane. (3) Construct the line integral of Stokes' Theorem using the parameterization r(t) = (cos t. sin t,0), for OStSZn for the ' curve C. Choose the correct answer below. i l 21: O A. IZdt O 27: O 8- IZdt 0 Construct the surface integral of Stokes' Theorem using R = {(x,y): x2 + y2 s 1} as the region of integration. Choose M.\" ...... b ________ hgln