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Determine the equation of the tangeht plane f(x, y, z) = x² – 3zyz + 5y at the point (2, 1, 1). O a. -r + 2y- 3z – 3 = 0 O b. 7x - y+ 6z + 19 = 0 O c. 4x 6y-3z +4 = 0 O d. z-y-6z +5 0

Determine the equation of the tangeht plane f(x, y, z) = x² – 3zyz + 5y at the point (2, 1, 1). O a. -r + 2y- 3z – 3 = 0 O b. 7x - y+ 6z + 19 = 0 O c. 4x 6y-3z +4 = 0 O d. z-y-6z +5 0

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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Determine the equation of the tangent plane to the surface f(z, y, z) = 1² - 3zyz+ 5y at the point (2, 1, 1). O a. -r + 2y- 3z-3 = 0 O b. 7z - y + 6z + 19 = 0 O c. 4r 6y - 3z + 4 = 0 O d. z-y-6z +5 0
Transcribed Image Text:Determine the equation of the tangent plane to the surface f(z, y, z) = 1² - 3zyz+ 5y at the point (2, 1, 1). O a. -r + 2y- 3z-3 = 0 O b. 7z - y + 6z + 19 = 0 O c. 4r 6y - 3z + 4 = 0 O d. z-y-6z +5 0
Expert Solution
Step 1

Given:-

F(x, y, z) = x2 -3xyz+5y

To find:-

Equation of tangent plane at point(2, 1,1) 

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