The ellipsoid $4 x ^ { 2 } + 5 y ^ { 2 } + z ^ { 2 } = 28$ intersects the plane $y = 2$ in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (1, 2, 2).

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The Answer of The ellipsoid $4 x ^ { 2 } + 5 y ^ { 2 } + z ^ { 2 } = 28$ intersects the plane $y = 2$ in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (1, 2, 2).

The Ellipsoid 4x2+5y2+z2=284 x ^ { 2 } + 5 y ^ { 2 } + z ^ { 2 } = 284x2+5y2+z2=28

The Ellipsoid $4 x ^ { 2 } + 5 y ^ { 2 } + z ^ { 2 } = 28$