(a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z? = 33, (1, 4, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. OX = Y 1 4 4 %3! 1 у - 4 1 4 OX - Y 33 33 33 x - 1 - y - 4 - z - 4 33 33 33 Ox - 1 = y - 4 = z - 4

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 + y2 + z? = 33, (1, 4, 4)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
OX = Y
1
4
4
%3!
1
у - 4
1
4
OX - Y
33
33
33
x - 1 - y - 4 - z - 4
33
33
33
Ox - 1 = y - 4 = z - 4
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z? = 33, (1, 4, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. OX = Y 1 4 4 %3! 1 у - 4 1 4 OX - Y 33 33 33 x - 1 - y - 4 - z - 4 33 33 33 Ox - 1 = y - 4 = z - 4
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