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The function ƒ(x, y) = (x² + y²)² − 8(x² + y²) + 8xy has stationary points at some of the following points, (x, y). In each case identify whether the point is stationary, and if so find out if it is a maximum, minimum or saddle point. 1. The point (0, 0) is 2. The point (1, 1) is 3. The point (-1,−1) is

The function ƒ(x, y) = (x² + y²)² − 8(x² + y²) + 8xy has stationary points at some of the following points, (x, y). In each case identify whether the point is stationary, and if so find out if it is a maximum, minimum or saddle point. 1. The point (0, 0) is 2. The point (1, 1) is 3. The point (-1,−1) is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The function ƒ(x, y) = (x² + y²)² – 8(x² + y²) + 8xy has stationary points at some of the following points, (x, y). In each case identify whether the point is stationary, and if so find out if it is a maximum, minimum or saddle point. 1. The point (0, 0) is 2. The point (1, 1) is 3. The point (-1, −1) is 4. The point (-√3, √√3) is 5. The point (√3,-√√3) is
Transcribed Image Text:The function ƒ(x, y) = (x² + y²)² – 8(x² + y²) + 8xy has stationary points at some of the following points, (x, y). In each case identify whether the point is stationary, and if so find out if it is a maximum, minimum or saddle point. 1. The point (0, 0) is 2. The point (1, 1) is 3. The point (-1, −1) is 4. The point (-√3, √√3) is 5. The point (√3,-√√3) is
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