(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 - y – 4 - 2 - 33 -1 14 -8 Ox +7 = y + 4 = z + 33 Ox - 7 = y - 4 = z - 33 = 14 -8 -1 O X+ 7 14 y + 4 -8 2 + 33 -1

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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(a) Find an equation of the tangent plane to the surface at the given point.
z = x2 - y?, (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
-8
-1
Ox + 7 = y + 4 = z + 33
Ox - 7 = y - 4 = z - 33
y
-8
14
-1
x + 7
y + 4
o *2-+4- z + 33
-8
-1
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Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y?, (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 -8 -1 Ox + 7 = y + 4 = z + 33 Ox - 7 = y - 4 = z - 33 y -8 14 -1 x + 7 y + 4 o *2-+4- z + 33 -8 -1 Need Help? Watch It еВook
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