Parametrize the Surface S $$S \text { is the portion of the paraboloid } z = 5 x ^ { 2 } + 5 y ^ { 2 } \text { that lies between } z = 2 \text { and } z = 7 \text {. }$$

Parametrize the surface S.
- $$S \text { is the portion of the paraboloid } z = 5 x ^ { 2 } + 5 y ^ { 2 } \text { that lies between } z = 2 \text { and } z = 7 \text {. }$$