Parametrize the Surface S

Essay

Parametrize the surface S.
- $$S \text { is the cap cut from the paraboloid } z = \frac { 1 } { 12 } - 9 x ^ { 2 } - 9 y ^ { 2 } \text { by the cone } z = \sqrt { x ^ { 2 } + y ^ { 2 } } \text {. }$$