1. Let k be a nonzero constant. Show that the equation of the tangent plane to the surface xyz = k at a point (xo, Yo, zo) on the surface satisfies (yozo) x + (xozo)y + (xoyo)z = 3k.
1. Let k be a nonzero constant. Show that the equation of the tangent plane to the surface xyz = k at a point (xo, Yo, zo) on the surface satisfies (yozo) x + (xozo)y + (xoyo)z = 3k.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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![1. Let k be a nonzero constant. Show that the equation of the tangent plane to the surface
xyz = k
at a point (xo, Yo, zo) on the surface satisfies
(yozo) x + (xozo)y + (xoyo)z
=
3k.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6fe1fc35-672a-49fd-831b-9642c77888ed%2F01231044-05d4-4207-b278-a13bbc9a0d08%2Ft14gl7m_processed.png&w=3840&q=75)
Transcribed Image Text:1. Let k be a nonzero constant. Show that the equation of the tangent plane to the surface
xyz = k
at a point (xo, Yo, zo) on the surface satisfies
(yozo) x + (xozo)y + (xoyo)z
=
3k.
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