(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
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
Need Help?
Watch It
еBook
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage