(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 lineto the surface at the given point. O x - 1 у - 3 z - 2 14 14 14 y %3D %3D 14 14 14 х — 1 У - 3 z - 2 %3D 1 3 Ox – 1 = y – 3 = z – 2 OX = Y - z 3 2 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
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 linerto the surface at the given point.
O X - 1
14
у - 3
z - 2
%3D
%D
14
14
y
%3D
%3D
:14
14
14
X – 1
y - 3
z - 2
%3D
1
Ox – 1 = y – 3 = z – 2
O X - Y - Z
1 32
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 linerto the surface at the given point. O X - 1 14 у - 3 z - 2 %3D %D 14 14 y %3D %3D :14 14 14 X – 1 y - 3 z - 2 %3D 1 Ox – 1 = y – 3 = z – 2 O X - Y - Z 1 32
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