Find the absolute extrema of the function over the region R. (In each case, R contains the boundaries.) Use a computer algebra system to confirm your results. f(x, y) = x² - 4xy + 4 R = {(x, y): 1 ≤x≤ 4,0 ≤ y ≤ 2} absolute maximum absolute minimum (x, y, z) = (x, y, z) =

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 9E
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Find the absolute extrema of the function over the region R. (In each case, R contains the boundaries.) Use a computer algebra system to confirm your results.
f(x, y) = x² - 4xy + 4
R = {(x, y): 1 ≤ x ≤ 4,0 ≤ y ≤ 2}
absolute maximum
(x, y, z) =
absolute minimum (x, y, z) =
Transcribed Image Text:Find the absolute extrema of the function over the region R. (In each case, R contains the boundaries.) Use a computer algebra system to confirm your results. f(x, y) = x² - 4xy + 4 R = {(x, y): 1 ≤ x ≤ 4,0 ≤ y ≤ 2} absolute maximum (x, y, z) = absolute minimum (x, y, z) =
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