(a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (7,5, 24) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox + 7 = y + 5 = z + 24 y-5_ z-24 -10 -1 X-7 14 = = y =160=31/12 X 14 -1 Ox - 7=y- 5 = z - 24 y + 5 _ z + 24 = -10 -1 X+7 14 Z

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, (7,5, 24)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
Ox + 7 = y + 5 = z + 24
y-5 Z - 24
-10
-1
X-7
14
=
=
X
y
Z
14
-10
-1
Ox - 7 = y - 5 = z - 24
x + 7
z + 24
y + 5
-10
14
-1
=
=
=
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (7,5, 24) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox + 7 = y + 5 = z + 24 y-5 Z - 24 -10 -1 X-7 14 = = X y Z 14 -10 -1 Ox - 7 = y - 5 = z - 24 x + 7 z + 24 y + 5 -10 14 -1 = = =
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