(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 19, (1, 3, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. X - 1 19 у - 3. 19 Z- 3 19 X - 1 1 y - 3 3 Z- 3 3 %3D 19 19 19 Ox - 1 = y - 3 = z - 3 O X = L = Z 13

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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(a) Find an equation of the tangent plane to the surface at the given point.
x2 + y2 + z2 = 19, (1, 3, 3)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
X - 1
19
у - 3
19
Z- 3
19
X - 1
1
y - 3
3
Z - 3
3
%D
19
19
19
Ox - 1 = y - 3 = z - 3
O X = L = Z
1 3
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 19, (1, 3, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. X - 1 19 у - 3 19 Z- 3 19 X - 1 1 y - 3 3 Z - 3 3 %D 19 19 19 Ox - 1 = y - 3 = z - 3 O X = L = Z 1 3
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