(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (7, 3, 40) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox+7 - y + 3 _ z + 40 14 Ox + 7 = y + 3 = z + 40 OX-7 - y – 3 _ z – 40 14 %3D -6 -1 = -6 -1 Ox - 7 = y – 3 = z – 40 14 -6 -1
(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (7, 3, 40) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox+7 - y + 3 _ z + 40 14 Ox + 7 = y + 3 = z + 40 OX-7 - y – 3 _ z – 40 14 %3D -6 -1 = -6 -1 Ox - 7 = y – 3 = z – 40 14 -6 -1
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
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Question
![(a) Find an equation of the tangent plane to the surface at the given point.
z = x? - y, (7, 3, 40)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
y + 3 _ z + 40
-1
Ox+7
14
-6
Ox + 7 = y + 3 = z + 40
Ox- 7
У - 3
- 40
7 -
14
-6
-1
Ох - 7 %3D у — 3 %3D2
40
OX = Y
14
-6
-1
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Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point.
z = x? - y, (7, 3, 40)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
y + 3 _ z + 40
-1
Ox+7
14
-6
Ox + 7 = y + 3 = z + 40
Ox- 7
У - 3
- 40
7 -
14
-6
-1
Ох - 7 %3D у — 3 %3D2
40
OX = Y
14
-6
-1
Need Help?
Watch It
еBook
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