Find a Vector Function That Represents the Curve of Intersection $z = 4 x ^ { 2 } + 9 y ^ { 2 }$

Short Answer

Find a vector function that represents the curve of intersection of the two surfaces:
The paraboloid $z = 4 x ^ { 2 } + 9 y ^ { 2 }$ and the parabolic cylinder $y = x ^ { 2 }$ .