(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1, 2, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point Ox - 1 = y - 2 = z - 3 O X - 1 - y – 2 – z - 3 %3D 1 3 O x-1 - Y-2 = 2-3 X - 1 z - 3 14 14 14 14 14 14 O X = Y = Z 1 2
(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1, 2, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point Ox - 1 = y - 2 = z - 3 O X - 1 - y – 2 – z - 3 %3D 1 3 O x-1 - Y-2 = 2-3 X - 1 z - 3 14 14 14 14 14 14 O X = Y = Z 1 2
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
Related questions
Question
![(a) Find an equation of the tangent plane to the surface at the given point.
x2 + y2 + z2 = 14, (1, 2, 3)
(b) Find a set of symmetric equations for the normal line to the surface at the given point
Ox- 1 = y - 2 = z - 3
х — 1 — у- 2 -
z - 3
1
3
O x-1- Y-2 = 2- 3
X - 1
z - 3
14
14
14
O = 4- 14
14
O X = Y = Z
3
1
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56fe6b2e-1512-4a4f-8a4f-342345aa821b%2F421bf26e-8f0c-4254-a13b-8958aa15f8a5%2Fhqwita_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 = 14, (1, 2, 3)
(b) Find a set of symmetric equations for the normal line to the surface at the given point
Ox- 1 = y - 2 = z - 3
х — 1 — у- 2 -
z - 3
1
3
O x-1- Y-2 = 2- 3
X - 1
z - 3
14
14
14
O = 4- 14
14
O X = Y = Z
3
1
2
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