(a) Find an equation of the tangent plane to the surface at the given point. x² + y? + z? = 26, (1, 4, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. O X 1 4 3 Ox - 1 = y - 4 = z - 3 X = L== z 26 26 26 y - 4 4 X - Z - - 3 3 X – 1 - y - 4 26 - 3 26 26

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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(a) Find an equation of the tangent plane to the surface at the given point.
x² + y? + z2 = 26, (1, 4, 3)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
1
4
3
Ox - 1 = y - 4 = z - 3
O X = Y = Z
26
26
26
O X- 1
y – 4
1
4
Z -
- 3
3
X – 1 - y – 4
26
26
z - 3
26
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x² + y? + z2 = 26, (1, 4, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. 1 4 3 Ox - 1 = y - 4 = z - 3 O X = Y = Z 26 26 26 O X- 1 y – 4 1 4 Z - - 3 3 X – 1 - y – 4 26 26 z - 3 26
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