Question

Find a vector function, r(t), that represents the curve of intersection of the two surfaces.
The paraboloid
z = 4x^2 + y^2
and the parabolic cylinder
y = 3x^2

Answer 1

let x=t

let y = 3t^2

what does z have to be?

Answer 2

(t,3t^2,4t^2,8t^4)??????