(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 12, (5, 3, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. x - 5 y 3 5 X-5 5 05x = 3y = 4z x - 5 = y3 = z - 4 X y 5 3 = 4 y - 3 3 Need Help? Z 4 Z-4 3 Z-4 4 || Read It

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 = 12, (5, 3, 4)
(b) Find a set of symmetric equations for the normal line to the surface at the given point.
X-5
y - 3
y
5
4
y - 3
x - 5
5
13
05x = 3y = 4z
x - 5 = y3 = z - 4
Z
4
nowad
25/11/2016
3
Need Help?
CARRET
Z
Read It
4
4
Transcribed Image Text:(a) Find an equation of the tangent plane to the surface at the given point. x + y + z = 12, (5, 3, 4) (b) Find a set of symmetric equations for the normal line to the surface at the given point. X-5 y - 3 y 5 4 y - 3 x - 5 5 13 05x = 3y = 4z x - 5 = y3 = z - 4 Z 4 nowad 25/11/2016 3 Need Help? CARRET Z Read It 4 4
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