The reflector of a searchlight is in the shape of a paraboloid of revolution. Its diameter is 16 centimeters and its depth is 16 centimeters. How far from the vertex should the light bulb be placed so that the rays will be reflected parallel to the axis?

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters