answer the multiple-choice below

Find the vector field corresponding to the potential function d(c, y) = 2373 Select one: O A. F(x,y) = 3x y3i+ 3x3y2 j O B. F(x, y) = -6ry3i + 3x3y? j o c. F(x, y) = -3x y3i+ 3ry j O D. F(x,y) = 6x2y3i+ 3x3y2jUse the Divergence Theorem to find the outward flux of the vector field F(x, y, z) =y ri + 4x'sin =j + 3k across the surface Q which is bounded by 3a + 2y + = =6 and the coordinate planes. Select one : O A. 17 5 5 O B. 27 O C. 16 O D. 27 5Evaluate JJ F. n dS where F(x, y, z) = 4xi+ 4yj + 4zk and & is that portion of the plane 2x + 3y + 42 =12 which lies in the first octant and is oriented by upward unit normals. Select one : O A. 72 O B. 16 O C. 0 O D. 36 O E. 144If R is the rectangle {(x, y):1