Give a parametric description of the form r(u,v) = (x(u,v),y(u,v),z(u,v)) for the following surface. 5 The cap of the sphere x" + y~+z =25, for SZS5 N . . . Select the correct choice below and fill in the answer boxes to complete your choice. (Type any angle measures in radians. Use angle measures greater than or equal to 0 and less than 2x. Type exact answers in terms of It.) O A. r(u,v) = (5 sinu cos v,5 sin u sin v,5 cos u) for SUS and SVS O B. r(u,v) = (5 cos usin v,5 sin u sin v,5 sin v) for SUS and SVS O c. r(u,v) = (5 cos u,5 sin u,v) for SUS and SVS O D. r(u,v) = (25 cos u,25 sin u,v) for SUS and SVSpoint(s ) possible Describe the surface with the parametric representation shown below. r(u,v) = (v cos u,v sin u,4v) , for 0 Sus 2x, OSvs2 Select the correct choice below and fill in the answer boxes within your choice. O A. The surface is a sphere with its center at ( and a radius of O B. The surface is a cone with height of and radius of at the widest point. O C. The surface is a cylinder with a height of and a radius ofThe shape and density of a thin shell are indicated below. Find the coordinates of the center of mass. Shell: "nose" of the parabclc-id x2 +y2 = 22 cut by the plane 2: 6 Density: 5 =1'x2 + 3:2 +1