(a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 12, (5, 5, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox=y=Z 5 5 2 O 5x = 5y = 2z Ox-5=y-5=z-2 0x-5=1²5²2²²=2 O x-5-y-5_z-2 5 5 = = 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 24E
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(a) Find an equation of the tangent plane to the surface at the given point.
x + y + z = 12, (5, 5, 2)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
O
Y
Z
5 5 2
O 5x = 5y = 2z
Ox-5=y-5=z-2
O x-5 =Y-5
5
5
O x-5 y-5
5
2
=
=
=
Z-2
2
Z-2
5
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 12, (5, 5, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point. O Y Z 5 5 2 O 5x = 5y = 2z Ox-5=y-5=z-2 O x-5 =Y-5 5 5 O x-5 y-5 5 2 = = = Z-2 2 Z-2 5
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