Find the extremum of f(x, y) subject to the given constraint, and state whether it is a maximum or a minimum. 1. f(х, у) %3D ху; Зх + у%3D 10 2. f(x, y) = 2xy; 4x + y = 16 3. f(x, y) = x2 + y²; 2x + y = 10 4. f(x, y) = x2 + y²; x + 4y = 17 5. f(x, y) = 4 - x2 – y?; x + 2y = 10 6. f(x, y) = 3 – x² – y?; x + 6y = 37 7. f(x, y) = 2y? – 6x²; 2x + y = 4 %3D 9. f(x, y, 2) = x² + y² + z²; y + 2x – z = 3 10. f(x, y, 2) = x² + y² + z²; x + y + z = 2
Find the extremum of f(x, y) subject to the given constraint, and state whether it is a maximum or a minimum. 1. f(х, у) %3D ху; Зх + у%3D 10 2. f(x, y) = 2xy; 4x + y = 16 3. f(x, y) = x2 + y²; 2x + y = 10 4. f(x, y) = x2 + y²; x + 4y = 17 5. f(x, y) = 4 - x2 – y?; x + 2y = 10 6. f(x, y) = 3 – x² – y?; x + 6y = 37 7. f(x, y) = 2y? – 6x²; 2x + y = 4 %3D 9. f(x, y, 2) = x² + y² + z²; y + 2x – z = 3 10. f(x, y, 2) = x² + y² + z²; x + y + z = 2
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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Transcribed Image Text:Find the extremum of f(x, y) subject to the given constraint,
and state whether it is a maximum or a minimum.
1. f(х, у) %3D ху; Зх + у%3D 10
2. f(x, y) = 2xy; 4x + y = 16
3. f(x, y) = x2 + y²; 2x + y = 10
4. f(x, y) = x2 + y²; x + 4y = 17
5. f(x, y) = 4 - x2 – y?; x + 2y = 10
6. f(x, y) = 3 – x² – y?; x + 6y = 37
7. f(x, y) = 2y? – 6x²; 2x + y = 4
%3D
9. f(x, y, 2) = x² + y² + z²; y + 2x – z = 3
10. f(x, y, 2) = x² + y² + z²; x + y + z = 2
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