Consider the paraboloid z = x2 + y?. The plane 2x - 10y + z - 2 = 0 cuts the paraboloid whose intersection is a curve. This curve lies above a circle in the xy-plane which you should parametrization of the paramter t such that the circle is traversed counterclockwise exactly once as t goes from 0 to 27. Furthermore, the paramterization starts at the point on the circle with the largest x-coordinate. Using that as your starting point, give the parametrization of the curve on the surface. c (t) = (2(t), y(t), z (t) ), where ac ( t ) = y ( t ) = z ( t ) =