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

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

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The Answer is

x = 2 \cos ( t ) , y = 2 \sin ( t ) , z = - 4 \cos ( 2 t )

Find Parametric Equations For CCC , If CCC Is the Curve of Intersection of the Hyperbolic Paraboloid

Find Parametric Equations For $C$ , If $C$ Is the Curve of Intersection of the Hyperbolic Paraboloid