Find an equation of the tangent plane to the surface x² + 2y² + z² = 175 at the point (5, -5, 10). O 5 (x-5)-10 (y + 5) +20 (2- 10) = 0 O 10 (x - 5) 20 (y + 5) 20 (z 10) = 0 O 10 (x - 5) +20 (y + 5) +20 (z - 10) O 10 (x - 5) - 20 (y + 5) + 10 (z - 10) O 10 (x - 5) - 20 (y + 5) +20 (-10) TARLARI 0 0

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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Find an equation of the tangent plane to the surface
x² + 2y² + z² = 175
at the point (5, -5, 10).
O 5 (-5)-10 (y + 5) +20 (z
O 10 (x - 5) - 20 (y + 5) 20 (z
O 10 (x - 5) + 20 (y + 5) +20 (z - 10)
10) = 0
| |
10) = 0
m
O 10 (x - 5) - 20 (y + 5) + 10 (z - 10) 10
O 10 (x - 5) - 20 (y + 5) +20 (z 10) = 0
-
Transcribed Image Text:Find an equation of the tangent plane to the surface x² + 2y² + z² = 175 at the point (5, -5, 10). O 5 (-5)-10 (y + 5) +20 (z O 10 (x - 5) - 20 (y + 5) 20 (z O 10 (x - 5) + 20 (y + 5) +20 (z - 10) 10) = 0 | | 10) = 0 m O 10 (x - 5) - 20 (y + 5) + 10 (z - 10) 10 O 10 (x - 5) - 20 (y + 5) +20 (z 10) = 0 -
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