Section 10.7: Problem 7 (1 point) Previous Problem Problem List Next Problem Consider the paraboloid z = 2:2 + 3,3. The plane 81: 9g; + z = t] cuts 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 xv-plane which you should parametrize as a function of the variable t so that the circle is traversed counterclockwise exactly once as tgoes 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. ctt} = ($6): yta ZED: Where sit) 2 y(t) = ztt) =