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f(x, y) = 2x2 +9y2 on the disk bounded by the circle x² + y2 = 9 A) Absolute maximum: 18 at (3, 0) and (-3, 0); absolute minimum: 0 at (0, 0) (3, 3); absolute minimum: 0 at (0, 0) B) Absolute maximum: 99 at C) Absolute maximum: 81 at (0, 3) D) Absolute maximum: 81 at (0, 3) and (0, -3); absolute minimum: 18 at (3, 0) and (-3,0) and (0, -3); absolute minimum: 0 at (0, 0)

f(x, y) = 2x2 +9y2 on the disk bounded by the circle x² + y2 = 9 A) Absolute maximum: 18 at (3, 0) and (-3, 0); absolute minimum: 0 at (0, 0) (3, 3); absolute minimum: 0 at (0, 0) B) Absolute maximum: 99 at C) Absolute maximum: 81 at (0, 3) D) Absolute maximum: 81 at (0, 3) and (0, -3); absolute minimum: 18 at (3, 0) and (-3,0) and (0, -3); absolute minimum: 0 at (0, 0)

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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f(x, y) = 2x² +9y2 on the disk bounded by the circle x² + y2 = 9 A) Absolute maximum: 18 at (3, 0) and (-3, 0); absolute minimum: 0 at (0, 0) (3, 3); absolute minimum: 0 at (0, 0) B) Absolute maximum: 99 at C) Absolute maximum: 81 at D) Absolute maximum: 81 at (0, 3) (0, 3) and (0, -3); absolute minimum: 18 at (3, 0) and (-3,0) and (0, -3); absolute minimum: 0 at (0, 0)
Transcribed Image Text:f(x, y) = 2x² +9y2 on the disk bounded by the circle x² + y2 = 9 A) Absolute maximum: 18 at (3, 0) and (-3, 0); absolute minimum: 0 at (0, 0) (3, 3); absolute minimum: 0 at (0, 0) B) Absolute maximum: 99 at C) Absolute maximum: 81 at D) Absolute maximum: 81 at (0, 3) (0, 3) and (0, -3); absolute minimum: 18 at (3, 0) and (-3,0) and (0, -3); absolute minimum: 0 at (0, 0)
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