Show that the surfaces S1 : 4x + y° + 9z² = 108 and S2 : xyz = 36 are tangent at the point (3, 6, 2).

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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Show that the surfaces S1 : 4x + y + 9z2 = 108 and S2 : xyz = 36 are tangent at the
point (3, 6, 2).
Transcribed Image Text:Show that the surfaces S1 : 4x + y + 9z2 = 108 and S2 : xyz = 36 are tangent at the point (3, 6, 2).
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