(a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 4, 3) 12x + 3y + 4 = 48 (b) Find a set of symmetric equations for the normal line to the surface at the given point. O X + 1 12 = L+ 4 4 z + 3 3 O x- 1 12 y - 4 z - 3 %3D %3D 4 x + 1 y + 4 z + 3 %3D 12 3 4 Ox - 1 = y – 4 = z - 3 O 12 eBook

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 25RE
icon
Related questions
Question
(a) Find an equation of the tangent plane to the surface at the given point.
xyz = 12, (1, 4, 3)
12x + 3y + 4 = 48
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
O X + 1
12
= L+ 4
4
z + 3
3
O x- 1
12
y - 4
z - 3
%3D
%3D
4
x + 1
y + 4
z + 3
%3D
12
3
4
Ox - 1 = y – 4 = z - 3
O 12
eBook
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 4, 3) 12x + 3y + 4 = 48 (b) Find a set of symmetric equations for the normal line to the surface at the given point. O X + 1 12 = L+ 4 4 z + 3 3 O x- 1 12 y - 4 z - 3 %3D %3D 4 x + 1 y + 4 z + 3 %3D 12 3 4 Ox - 1 = y – 4 = z - 3 O 12 eBook
Expert Solution
steps

Step by step

Solved in 2 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