(a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 6, (1, 2, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. X - Y = Z 3 Ox - 1 = y - 2 = z - 3 x + 1 - y + 2 z + 3 O X-1-2 - 2 у - 2 z - 3 x + 1- y + 2. 6. z + 3 3 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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(a) Find an equation of the tangent plane to the surface at the given point.
хуz %3D 6, (1, 2, 3)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
X - Y = Z
2
3
Ox - 1 = y - 2 = z - 3
x + 1 - y + 2
z + 3
O X-1-2 - 2
у - 2
z - 3
=
x +1 - y + 2 - z + 3
%3D
3
||
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 6, (1, 2, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. X - Y = Z 2 3 Ox - 1 = y - 2 = z - 3 x + 1 - y + 2 z + 3 O X-1-2 - 2 у - 2 z - 3 = x +1 - y + 2 - z + 3 %3D 3 ||
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