(a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 10, (1, 2, 5) (b) Find a set of symmetric equations for the normal line to the surface at the given point. OX - y - z 5 2 10 ,x + 1_ y + 2 _ z + 5 %3D 10 5 2 OX- 1 10 у - 2 z - 5 5 OX + 1 10 y + 2 z + 5 %3D %3D 2 Ox – 1 = y – 2 = z - 5 2+

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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(a) Find an equation of the tangent plane to the surface at the given point.
xyz = 10,
(1, 2, 5)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
y
10
2
5
OX + 1
10
y + 2
z + 5
2
ох -1
10
y - 2
z - 5
5
2
OX + 1
10
y + 2
z + 5
2
Ox - 1 = y – 2 = z - 5
N +
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. xyz = 10, (1, 2, 5) (b) Find a set of symmetric equations for the normal line to the surface at the given point. y 10 2 5 OX + 1 10 y + 2 z + 5 2 ох -1 10 y - 2 z - 5 5 2 OX + 1 10 y + 2 z + 5 2 Ox - 1 = y – 2 = z - 5 N +
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