(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z? = 14, (1, 3, 2) %3D (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox- 1 У - 3 z - 2 %3D %3D 14 14 14 %3D 14 14 14 Ox-1 y - 3 1 Ox - 1 = y - 3 = z - 2 OX = Y = z 1 3 2 z - 2 3 2
(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z? = 14, (1, 3, 2) %3D (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox- 1 У - 3 z - 2 %3D %3D 14 14 14 %3D 14 14 14 Ox-1 y - 3 1 Ox - 1 = y - 3 = z - 2 OX = Y = z 1 3 2 z - 2 3 2
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
Related questions
Question
8
![(a) Find an equation of the tangent plane to the surface at the given point.
x2 + y2 + z? = 14, (1, 3, 2)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
OX- 1
14
y - 3
z - 2
14
14
y
%3D
14
14
14
OX-1
У - 3
z - 2
3 2
Ox - 1 = y - 3 = z - 2
o -
OX = Y = Z
3 2
ORook
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F104c237a-e41c-4ace-bdc6-5c6a5608ffed%2Fd37e550d-8b96-44af-909d-6ec79269436a%2Fhw69h39_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point.
x2 + y2 + z? = 14, (1, 3, 2)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
OX- 1
14
y - 3
z - 2
14
14
y
%3D
14
14
14
OX-1
У - 3
z - 2
3 2
Ox - 1 = y - 3 = z - 2
o -
OX = Y = Z
3 2
ORook
II
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