Find and classify the critical points of z = (x² − 2x) (y² – 5y). 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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 2E
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Find and classify the critical points of z = (x² − 2x) (y² – 5y).
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 z = (x² − 2x) (y² – 5y). 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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