The goal of this GeoGebra Augmented Reality modeling challenge is to author 2 surface equations (with domain restrictions) that model the halogen lamp seen in the screencast below. [br][br][b]Modeling Clues: [/b][br][br]1) Both surfaces are parts of 2 different paraboloids of revolution. [br][br]2) The [b][color=#1e84cc]blue surface[/color][/b] is part of a paraboloid with vertex (0,0,0).[br] The point [math]\left(1,-3,1.5\right)[/math] lies on the blue surface. [br] The radius of the bottom circle = 1.[br] The radius of the top circle = [math]3\sqrt{2}[/math]. [br][br]3) The [b][color=#ff00ff]pink surface[/color][/b] is part of a paraboloid with vertex (0, 0, 0.5).[br] There is absolutely no overlap between the [b][color=#1e84cc]blue surface[/color][/b] and [b][color=#ff00ff]pink surface[/color][/b].