Find equations for the tangent plane and the normal line at point Po (Xo Yo.Zo) (5,2 on the surface cos (Tx) + x y +2 e' + yz = 53. Using a coefficient of 20 for x, the equation for the tangent plane is

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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Find equations for the tangent plane and the normal line at point Po (Xo,Yo,Z0) (5,2,0) on the surface
cos (TX) + xy + 2e XZ
+ yz = 53.
Using a coefficient of 20 for x, the equation for the tangent plane is
Transcribed Image Text:Find equations for the tangent plane and the normal line at point Po (Xo,Yo,Z0) (5,2,0) on the surface cos (TX) + xy + 2e XZ + yz = 53. Using a coefficient of 20 for x, the equation for the tangent plane is
Expert Solution
Step 1

We know that the equation of the tangent plane is:

nxx-x0+nyy-y0+nzz-z0=0

Given:

-cosπx+x2y+2exz+yz=53

So let,

fx,y,z=-cosπx+x2y+2exz+yz-53

And

Px0,y0,z0=5,2,0

 

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