(a) Find an equation of the tangent plane to the surface at the given point. x2 + y? + z? = 14, (1, 3, 2)

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Author:James Stewart
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Chapter1: Functions And Models
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8
(a) Find an equation of the tangent plane to the surface at the given point.
x2 + y? + z? = 14, (1, 3, 2)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
OX- 1
14
y - 3
z - 2
%3D
14
14
y
.....:14
14
14
OX -1 -
y-3
z - 2
1
3
Ox - 1 = y - 3 = z – 2
OX = Y - z
1 3 2
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x2 + y? + z? = 14, (1, 3, 2) (b) Find a set of symmetric equations for the normal line to the surface at the given point. OX- 1 14 y - 3 z - 2 %3D 14 14 y .....:14 14 14 OX -1 - y-3 z - 2 1 3 Ox - 1 = y - 3 = z – 2 OX = Y - z 1 3 2
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