1. The problem statement, all variables and given/known data Find a vector function that represents the curve of intersection of the two surfaces: The paraboloid z = 4x^2 + y^2 The parabolic cylinder y = x^2 2. Relevant equations z = 4x^2 + y^2 y = x^2 3. The attempt at a solution Combining the two equations: z = 4(sqrt(y))^2 + y^2 z = 4y + y^2 Choose a parameter: Let y = t z = 4t + t^2 Therefore: x = sqrt(t) y = t I get the equation: r(t) = (sqrt(t))i + (t)j + (4t + t^2)k Is this correct or did I do something wrong? Any help appreciated, thanks!