Question: The ellipsoid 6x^2 + 6y^2 + z^2 = 79 intersects the plane y = 2 in an ellipse. Find parametric equations for the tangent

The ellipsoid 6x^2 + 6y^2 + z^2 = 79 intersects the plane

The ellipsoid 6x^2 + 6y^2 + z^2 = 79 intersects the plane y = 2 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (3, 2, 1). (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.)

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