III. Let A be the surface with equation r = 2vy+1 and let 22 be the sphere with equation x' +y' + 2- - 16x + 6y - 42 + 76 =0. 1. Provide a hand-drawn sketch of the surface $1. Indicate proper rulings. (2 pts) 2. Determine the center and the radius of the sphere $2. (2 pts) 3. The r-intercept of surface S and the center of sphere 2 are endpoints of a diameter of another sphere F. Determine the equation (in center-radius form) of . (3 pts)