(a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 11, (4, 4, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox- 4 = y – 4=z- 3 4 O*—4=Lg+- . y - 4 Ox—4aX—4=zg. y- - 3 O4x = 4y = 3z 04-4= Z 3 3 - 3

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.
x + y + z = 11, (4, 4, 3)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
Ox-4 = y - 4 = z - 3
X-4 y-4
4
3
=
X-
4
O4x = 4y = 3z
OX=Y=Z
4 4
3
=
=
Z-3
4
Z-3
3
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 11, (4, 4, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox-4 = y - 4 = z - 3 X-4 y-4 4 3 = X- 4 O4x = 4y = 3z OX=Y=Z 4 4 3 = = Z-3 4 Z-3 3
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