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

Question 34

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The ellipsoid 4x2+5y2+z2=284 x ^ { 2 } + 5 y ^ { 2 } + z ^ { 2 } = 28 intersects the plane y=2y = 2 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (1, 2, 2).

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