Find the critical points for the function f(x, y) = 32xy — 0.25(x + y)² and classify each as a local maximum, local minimum, saddle point, or none of these. critical points: (give your points as a comma separated list of (x,y) coordinates.) classifications: (give your answers in a comma separated list, specifying maximum, minimum, saddle point, e for each, in the same order as you entered your critical points) or none

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the critical points for the function
f(x, y) = 32xy — 0.25(x + y)ª
and classify each as a local maximum, local minimum, saddle point, or none of these.
critical points:
(give your points as a comma separated list of (x,y) coordinates.)
classifications:
(give your answers in a comma separated list, specifying maximum, minimum, saddle point,
or none for each, in the same order as you entered your critical points)
Transcribed Image Text:Find the critical points for the function f(x, y) = 32xy — 0.25(x + y)ª and classify each as a local maximum, local minimum, saddle point, or none of these. critical points: (give your points as a comma separated list of (x,y) coordinates.) classifications: (give your answers in a comma separated list, specifying maximum, minimum, saddle point, or none for each, in the same order as you entered your critical points)
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