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Find Parametric Equations for C, If C Is the Curve z=y2x2z = y ^ { 2 } - x ^ { 2 }

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Find parametric equations for C, if C is the curve of intersection of the hyperbolic paraboloid z=y2x2z = y ^ { 2 } - x ^ { 2 } and the cylinder x2+y2=4x ^ { 2 } + y ^ { 2 } = 4 oriented counterclockwise as viewed from above.


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