(a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point Ox - 1 12 у - 3 z- 4 4

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Q8

(a) Find an equation of the tangent plane to the surface at the given point.
xyz = 12,
(1, 3, 4)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
O X - 1 _ y - 3 _ z - 4
12
4
3
12
4
x + 1
y + 3
z + 4
12
3
O X + 1
12
y + 3
z + 4
3
4
Ox - 1 = y – 3 = z - 4
II
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. O X - 1 _ y - 3 _ z - 4 12 4 3 12 4 x + 1 y + 3 z + 4 12 3 O X + 1 12 y + 3 z + 4 3 4 Ox - 1 = y – 3 = z - 4 II
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