(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 14, (5, 5, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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(a) Find an equation of the tangent plane to the surface at the given point.
x + y + z = 14, (5, 5, 4)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
O x - 5 - Y – 5 _ z - 4
5
4
O 5x = 5y
O x - 5 - Y - 5
= 4z
Z - 4
4
Ox - 5 = y - 5 = z - 4
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 14, (5, 5, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. O x - 5 - Y – 5 _ z - 4 5 4 O 5x = 5y O x - 5 - Y - 5 = 4z Z - 4 4 Ox - 5 = y - 5 = z - 4
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