1. f(x, y) = x² + xy + y? + 3x - 3y + 4 2. f(x, y) = 2ry – 5x2 – 2y² + 4x + 4y – 4 3. f(x, y) = x² + xy + 3x + 2y + 5 4. f(x, y) 3D 5ху — 7x? + 3х 5. f(x, y) = 2ry – x² – 2y² + 3x + 4 6. f(x, y) = x² – 4xy + y? + 6y + 2 7. f(x, y) = 2r2 + 3xy + 4y? – 5x + 2y 8. f(x, y) = x? – 2ry + 2y? – 2x + 2y + 1 9. f(x, y) = x² – y² – 2x + 4y + 6 10. f(x, y) = x² + 2ry бу + 2

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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Find all the local maxima, local minima, and saddle points of the functions in Exercises 1–10.

1. f(x, y) = x² + xy + y? + 3x - 3y + 4
2. f(x, y) = 2ry – 5x2 – 2y² + 4x + 4y – 4
3. f(x, y) = x² + xy + 3x + 2y + 5
4. f(x, y) 3D 5ху — 7x? + 3х
5. f(x, y) = 2ry – x² – 2y² + 3x + 4
6. f(x, y) = x² – 4xy + y? + 6y + 2
7. f(x, y) = 2r2 + 3xy + 4y? – 5x + 2y
8. f(x, y) = x? – 2ry + 2y? – 2x + 2y + 1
9. f(x, y) = x² – y² – 2x + 4y + 6
10. f(x, y) = x² + 2ry
бу + 2
Transcribed Image Text:1. f(x, y) = x² + xy + y? + 3x - 3y + 4 2. f(x, y) = 2ry – 5x2 – 2y² + 4x + 4y – 4 3. f(x, y) = x² + xy + 3x + 2y + 5 4. f(x, y) 3D 5ху — 7x? + 3х 5. f(x, y) = 2ry – x² – 2y² + 3x + 4 6. f(x, y) = x² – 4xy + y? + 6y + 2 7. f(x, y) = 2r2 + 3xy + 4y? – 5x + 2y 8. f(x, y) = x? – 2ry + 2y? – 2x + 2y + 1 9. f(x, y) = x² – y² – 2x + 4y + 6 10. f(x, y) = x² + 2ry бу + 2
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