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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

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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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