Find a Parametric Representation for the Surface Consisting of That $- x ^ { 2 } - y ^ { 2 } + z ^ { 2 } = 1 \text { that lies below the disk } \left\{ ( x , y ) \mid x ^ { 2 } + y ^ { 2 } \leq 4 \right\}$

Essay

Find a parametric representation for the surface consisting of that part of the hyperboloid $- x ^ { 2 } - y ^ { 2 } + z ^ { 2 } = 1 \text { that lies below the disk } \left\{ ( x , y ) \mid x ^ { 2 } + y ^ { 2 } \leq 4 \right\}$ .