(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 3, 27) (b) Find a set of symmetric equations for the normal line to the surface at the given point. y - z 12 -6 -1 Ox - 6 = y - 3 = z - 27 y + 3 x + 6 z + 27 12 -6 -1 y - 3 - 27 OX- 6 12 7 - -6 -1 Ox + 6 = y + 3 = z + 27 Need Help? Watch It

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.
z = x2 - y2, (6, 3, 27)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
y - z
-6
12
-1
Ox - 6 = y - 3 = z - 27
y + 3
x + 6
z + 27
12
-6
-1
y - 3
- 27
OX- 6
12
7 -
-6
-1
Ox + 6 = y + 3 = z + 27
Need Help?
Watch It
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 3, 27) (b) Find a set of symmetric equations for the normal line to the surface at the given point. y - z -6 12 -1 Ox - 6 = y - 3 = z - 27 y + 3 x + 6 z + 27 12 -6 -1 y - 3 - 27 OX- 6 12 7 - -6 -1 Ox + 6 = y + 3 = z + 27 Need Help? Watch It
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