Question

Consider the paraboloid z=x^2 + y^2 . The plane 7x-9y+z-6=0cuts the paraboloid, its intersection being a curve.
Find "the natural" parametrization of this curve.
Hint: The curve which is cut lies above a circle in the xy-plane which you should parametrize as a function of the variable t so that the circle is traversed counterclockwise exactly once as t goes from 0 to 2*pi, and the paramterization starts at the point on the circle with largest x coordinate. Using that as your starting point, give the parametrization of the curve on the surface.
Find x(t), y(t), and z(t)

Answer 1

I hate that cereal, so you get no help from me. :) <3