(a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Z -4 -1 == X + 6 = y+2_zZ+5 = -1 z-5 -1 0X-3-1-2- Ox+ 3 = y + 2 =z+5 Ox-3=y-2=Z-5 =.

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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(a) Find an equation of the tangent plane to the surface at the given point.
z = x² - y², (3, 2, 5)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
=
x + 3
6
x - 3
-4
=
Z
-1
y + 2
-4
=
=
=
z +5
-1
z-5
y-2-2-3
=
6
-4
-1
Ox + 3 = y + 2 =z+5
Ox - 3y - 2=Z-5
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5) (b) Find a set of symmetric equations for the normal line to the surface at the given point. = x + 3 6 x - 3 -4 = Z -1 y + 2 -4 = = = z +5 -1 z-5 y-2-2-3 = 6 -4 -1 Ox + 3 = y + 2 =z+5 Ox - 3y - 2=Z-5
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