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Find and classify the critical points of f(x, y) = - 2x²y - 4x² + 4y² + 24y +36 Local maximums: Local minimums: Saddle points: For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. Enter DNE if there are no points for a classification.

Find and classify the critical points of f(x, y) = - 2x²y - 4x² + 4y² + 24y +36 Local maximums: Local minimums: Saddle points: For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. Enter DNE if there are no points for a classification.

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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Find and classify the critical points of f(x, y) - 2x²y - 4x² + 4y² + 24y +36 = Local maximums: Local minimums: Saddle points: For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. Enter DNE if there are no points for a classification.
Transcribed Image Text:Find and classify the critical points of f(x, y) - 2x²y - 4x² + 4y² + 24y +36 = Local maximums: Local minimums: Saddle points: For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. Enter DNE if there are no points for a classification.
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