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Find the planes tangent to the following surfaces at the indicated points. (a) x² + 2y² + 9xz = 12, at the point (1, 2, 3 (b) y² -x² - = 8, at the point (1, 3, 7) (c) xyz = 1, at the point (1, 1, 1)

Find the planes tangent to the following surfaces at the indicated points. (a) x² + 2y² + 9xz = 12, at the point (1, 2, 3 (b) y² -x² - = 8, at the point (1, 3, 7) (c) xyz = 1, at the point (1, 1, 1)

Elementary Geometry For College Students, 7e
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 22E
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Find the planes tangent to the following surfaces at the indicated points. x² + 2y² + 9xz = 12, at the point (1, 2, ¹-) 3 (a) (b) y² - x² = 8, at the point (1, 3, 7) (c) xyz = 1, at the point (1, 1, 1)
Transcribed Image Text:Find the planes tangent to the following surfaces at the indicated points. x² + 2y² + 9xz = 12, at the point (1, 2, ¹-) 3 (a) (b) y² - x² = 8, at the point (1, 3, 7) (c) xyz = 1, at the point (1, 1, 1)
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