et f(x, y) = 1 + xy + x - 4y and let D be the triangular region in R2 with vertices (1, -4), (9, -4), and (1, 4). Find the absolute maximum and minimum values of f on D. Give all points where these extreme values occur. (Order your answers from smallest to largest x, then from smallest to largest y.) absolute extrema value classification (х, у) -D absolute maximum (х, у) %3D absolute minimum ]) (х, у) %3D absolute minimum

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 4E
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Let f(x, y) = 1 + xy + x - 4y and let D be the triangular region in R2 with vertices (1, -4), (9, -4), and (1, 4). Find the absolute maximum and minimum values
of f on D. Give all points where these extreme values occur. (Order your answers from smallest to largest x, then from smallest to largest y.)
absolute extrema
value
classification
1)
(x, y) =
absolute maximum
])
(х, у)
absolute minimum
1)
(x, y) =
absolute minimum
Transcribed Image Text:Let f(x, y) = 1 + xy + x - 4y and let D be the triangular region in R2 with vertices (1, -4), (9, -4), and (1, 4). Find the absolute maximum and minimum values of f on D. Give all points where these extreme values occur. (Order your answers from smallest to largest x, then from smallest to largest y.) absolute extrema value classification 1) (x, y) = absolute maximum ]) (х, у) absolute minimum 1) (x, y) = absolute minimum
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