questions below:

Find a parameterization of the cap cut from the sphere x + y~ + z- =4 by the cone z= VX + V 3 . . . Choose the correct parameterization below. O A. r(u,v) = (2 sin v cos u)i + (2 sin v sin u)j + (2 cos v)k, OSUS21, OSVS- w / A O B. r(u,v) = (2 sin v sin u)i + (2 cos v cos u)j + (2 cos v)k, Osus ,, OSVS2n O C. r(u,v) = (2 sin v sin u)i + (2 cos v cos u)j + (2 cos v)k, OSUS21, OSVS- 3 OD. r(u,v) = (2 sin v cos u)i + (2 sin v sin u)j + (2 cos v)k, Osus ,, OSVS2nUse a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cylinder x2 + y2 =25 between the planes 2 = 4 and 2: 6 Let u = z and v = 6 and use cylindrical coordinates to parameterize the surface. Set up the double integral to nd the surface area. _|_ I II (D) My (Type exact answers.) After evaluating the double integral, the surface area is (Type an exact answer in terms of n.) Find the area of the surface x" - 2y - 2z =0 that lies above the triangle bounded by the lines x = 1, y = 0, and y = 3x. . . . The surface area is (Type an exact answer, using radicals as needed.)