# Find a vector function, r(t), that represents the curve of intersection of the two surfaces. The paraboloid  z = 6x2 + y2 and the parabolic cylinder y = 4x2

Question

Find a vector function, r(t), that represents the curve of intersection of the two surfaces.

The paraboloid
z = 6x2 + y2
and the parabolic cylinder
y = 4x2