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(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 11, (3, 5, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox - 3y - 5=z-3 O3x = 5y = 3z Z O X 3 5 x - 3 3 x - 3 3 = = = = 3 y - 5 5 y - 5 3 = = Z-3 3 Z - 3 5

(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 11, (3, 5, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox - 3y - 5=z-3 O3x = 5y = 3z Z O X 3 5 x - 3 3 x - 3 3 = = = = 3 y - 5 5 y - 5 3 = = Z-3 3 Z - 3 5

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. x + y + z = 11, (3, 5, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox - 3y - 5=z-3 O3x = 5y = 3z Z 3 y - 5 Z-3 5 3 X 3 5 x - 3 3 O = = = ox-a-vs-223 5 y = = 5
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 11, (3, 5, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox - 3y - 5=z-3 O3x = 5y = 3z Z 3 y - 5 Z-3 5 3 X 3 5 x - 3 3 O = = = ox-a-vs-223 5 y = = 5
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