(a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z2 = 26, (1, 3, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. у - 3 26 х — 1 z – 4 %3D 26 26 x – 1 = y – 3 = z – 4 y 3 4 26 26 26 X – 1 y - 3 Z – 4
(a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z2 = 26, (1, 3, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. у - 3 26 х — 1 z – 4 %3D 26 26 x – 1 = y – 3 = z – 4 y 3 4 26 26 26 X – 1 y - 3 Z – 4
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20RE
Related questions
Question
![(a) Find an equation of the tangent plane to the surface at the given point.
x² + y2 + z² = 26, (1, 3, 4)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
x - 1_y- 3 _ z - 4
X –
z – 4
%3D
26
26
26
X - 1 = y – 3 = z – 4
X _ Y _ Z
%3D
1
26
26
26
O x-1- Y-3 - z- 4
X – 1
Z – 4
1.
3
4
N|4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9c52abc-bd32-4820-be8a-3f4383635c50%2F11cd7c3b-274d-44ef-ab27-31a39cfe60f1%2Frhajkwmp_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 + z² = 26, (1, 3, 4)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
x - 1_y- 3 _ z - 4
X –
z – 4
%3D
26
26
26
X - 1 = y – 3 = z – 4
X _ Y _ Z
%3D
1
26
26
26
O x-1- Y-3 - z- 4
X – 1
Z – 4
1.
3
4
N|4
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