(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (9, 2, 77) (b) Find a set of symmetric equations for the normal line to the surface at the given point x + 9 y + 2 z + 77 18 -4 -1 Ox - 9 = y- 2 = z - 77 OX-9 - y - 2 z - 77 18 -4 -1 Ox + 9 = y + 2 = z + 77 y -4 %3D %3! 18 -1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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(a) Find an equation of the tangent plane to the surface at the given point.
z = x? - y?,
(9, 2, 77)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
x + 9
y + 2 z + 77
18
-4
-1
Ox - 9 = y - 2 = z - 77
x - 9
y - 2 z - 77
%3D
18
-4
-1
Ox + 9 = y + 2 = z + 77
%3D
x O
-4
y
%3D
18
-1
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. z = x? - y?, (9, 2, 77) (b) Find a set of symmetric equations for the normal line to the surface at the given point. x + 9 y + 2 z + 77 18 -4 -1 Ox - 9 = y - 2 = z - 77 x - 9 y - 2 z - 77 %3D 18 -4 -1 Ox + 9 = y + 2 = z + 77 %3D x O -4 y %3D 18 -1
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