) Find the points on the ellipsoid 6x² + y² + 3z² = 4 where the tangent plane is parallel to the plane x = z.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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3) Find the points on the ellipsoid 6x² + y² + 3z² = 4 where the tangent plane is
parallel to the plane x = z.
Transcribed Image Text:3) Find the points on the ellipsoid 6x² + y² + 3z² = 4 where the tangent plane is parallel to the plane x = z.
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