Ex 98

The paraboloid \(z = 6 - x - x^2 - 2y^2\) intersects the plane \(x = 1\) in a parabola.
Find parametric equations for the tangent line to this parabola at the point \((1, 2, -4)\).
Use a computer to graph the paraboloid, the parabola, and the tangent line on the same screen.