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4. An ant is walking on the hyperboloid z = x2 yz. The projection of its path on the X-y plane is the parabola y

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4. An ant is walking on the hyperboloid z = x2 yz. The projection of its path on the X-y plane is the parabola y = x2 + x. Find all points (x, y) at which the ant's path crosses a contour line of the hyperboloid at right angles

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