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(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 2, 32) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox + 6 = y + 2 = z + 32 x + 6 y + 2 z + 32 12 -4 -1 y 2 z - 32 12 -4 -1 Ох - 6 %3D у — 2 %3D 2 - 32 y 12 -4 -1

(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 2, 32) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox + 6 = y + 2 = z + 32 x + 6 y + 2 z + 32 12 -4 -1 y 2 z - 32 12 -4 -1 Ох - 6 %3D у — 2 %3D 2 - 32 y 12 -4 -1

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
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 - y2, (6, 2, 32) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox + 6 = y + 2 = z + 32 x + 6 y + 2 z + 32 12 -4 -1 y 2 z - 32 12 -4 -1 Ох - 6 %3D у — 2 %3D 2 — 32 12 -4 -1
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 2, 32) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox + 6 = y + 2 = z + 32 x + 6 y + 2 z + 32 12 -4 -1 y 2 z - 32 12 -4 -1 Ох - 6 %3D у — 2 %3D 2 — 32 12 -4 -1
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