Find all the critical points and the absolute extrema(absolute maximum

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 2YT
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Find all the critical points and the
absolute extrema(absolute
maximum
and absolute minimum values) of the
function
f (x, y) = 2y - 2xy + x² in the
restricted domain of ƒ that is the
closed region bounded by the
parabola y = 4 - x² and the x-
axis.
-
Transcribed Image Text:Find all the critical points and the absolute extrema(absolute maximum and absolute minimum values) of the function f (x, y) = 2y - 2xy + x² in the restricted domain of ƒ that is the closed region bounded by the parabola y = 4 - x² and the x- axis. -
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