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Consider the function g(x, y) = 4x³ – 96zy+ 48zy² Is (0, 2) a critical point of g? O No O Yes, and g has a local maximum at (0, 2). O Yes, and g has a local minimum at (0, 2). O Yes, but g has neither a local minimum nor a local maximum at (0, 2).

Consider the function g(x, y) = 4x³ – 96zy+ 48zy² Is (0, 2) a critical point of g? O No O Yes, and g has a local maximum at (0, 2). O Yes, and g has a local minimum at (0, 2). O Yes, but g has neither a local minimum nor a local maximum at (0, 2).

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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Consider the function g(x, y) = 4x³ – 96xy+ 48xy? Is (0, 2) a critical point of g? O No O Yes, and g has a local maximum at (0, 2). O Yes, and g has a local minimum at (0, 2). O Yes, but g has neither a local minimum nor a local maximum at (0, 2).
Transcribed Image Text:Consider the function g(x, y) = 4x³ – 96xy+ 48xy? Is (0, 2) a critical point of g? O No O Yes, and g has a local maximum at (0, 2). O Yes, and g has a local minimum at (0, 2). O Yes, but g has neither a local minimum nor a local maximum at (0, 2).
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