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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

(a) Find an equation of the tangent plane to the surface at the given point.
z = x² - y², (5, 3, 16)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
y
10 -6
X-5
10
x + 5
=
=
=
=
y
Z
-1
3
=
-6
y + 3
-6
10
-1
Ox + 5 = y + 3 = z + 16
Ox 5 = y3 = z - 16
Z - 16
=
-1
Z + 16

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