(a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5) (b) Find a set of symmetric equations for the normal line to the surface at the given point. x + 3 6 y + 2 z +5 -4 -1 = y Z 02-2014 - 31/1200 = = -1 Ox 3 = y2=Z-5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 24E
icon
Related questions
Question
x
(a) Find an equation of the tangent plane to the surface at the given point.
Z = x² - y², (3, 2, 5)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
x + 3 y + 2 z + 5
6
-4
-1
O
O
=
Ox
Z
-1
3 = y2=Z-5
y
=
6 -4
=
=
=
x-3_y-2_z-5
6
-4 -1
Ox + 3 = y + 2 = z +5
=
Transcribed Image Text:x (a) Find an equation of the tangent plane to the surface at the given point. Z = x² - y², (3, 2, 5) (b) Find a set of symmetric equations for the normal line to the surface at the given point. x + 3 y + 2 z + 5 6 -4 -1 O O = Ox Z -1 3 = y2=Z-5 y = 6 -4 = = = x-3_y-2_z-5 6 -4 -1 Ox + 3 = y + 2 = z +5 =
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning