Consider the ellipsoid 4x2 + 2y2 + z² = 27. Find all the points where the tangent plane to is parallel to the plane 2y - 8x - 3z = 0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the ellipsoid 4x2 + 2y² + z² = 27. Find all the points where the tangent plane to this
ellipsoid is parallel to the plane 2y - 8x - 3z = 0.
(If there are several points, separate them by commas.)
Transcribed Image Text:Consider the ellipsoid 4x2 + 2y² + z² = 27. Find all the points where the tangent plane to this ellipsoid is parallel to the plane 2y - 8x - 3z = 0. (If there are several points, separate them by commas.)
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