(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (7, 4, 33) (b) Find a set of symmetric equations for the normal line to the surface at the given point. x + 7 14 y + 4 - z + 33 -8 -1 Ox + 7 = y + 4 = z + 33 Ox - 7 = y - 4 = z - 33 O X 14 -8 -1 O X -7 - y – 4 - z - 33 y - 4 - z - 33 .1 14 -8

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 = x2 - y2, (7, 4, 33)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
O x + 7
14
y + 4 - z + 33
-1
-8
Ox + 7 = y + 4 = z + 33
Ox - 7 = y - 4 = z - 33
14
-8
-1
O x- 7
14
y - 4 - z - 33
-8
-1
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (7, 4, 33) (b) Find a set of symmetric equations for the normal line to the surface at the given point. O x + 7 14 y + 4 - z + 33 -1 -8 Ox + 7 = y + 4 = z + 33 Ox - 7 = y - 4 = z - 33 14 -8 -1 O x- 7 14 y - 4 - z - 33 -8 -1
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