Consider the surface xyz = 20. A. Find the unit normal vector to the surface at the point (5, 2, 2) with positive first coordinate. (000) B. Find the equation of the tangent plane to the surface at the given point. Express your answer in the form ax +by+cz + d = 0, normalized so that a = 4. 0=0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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Consider the surface xyz = 20.
A. Find the unit normal vector to the surface at the point (5, 2, 2) with positive first coordinate.
(000)
B. Find the equation of the tangent plane to the surface at the given point. Express your answer in the form ax +by+cz + d = 0, normalized so that a = 4.
= 0.
Transcribed Image Text:Consider the surface xyz = 20. A. Find the unit normal vector to the surface at the point (5, 2, 2) with positive first coordinate. (000) B. Find the equation of the tangent plane to the surface at the given point. Express your answer in the form ax +by+cz + d = 0, normalized so that a = 4. = 0.
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