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SOLVED: Consider the paraboloid z = x^2 y^2. The plane 3y z - 4 = 0 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 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 parametrization starts at the point on the circle with the largest coordinate. Using that as your star
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