4. Let f(x,y) = x² + xy + y² Let D be the region in the ry- plane bounded by a hexagon whose center is at the origin (0, 0), and one of the vertices of the hexagon is at the point (2,0) (see Figure I) Note: The region D is the region that includes the boundary of the hexagon and the interior of the hexagon. Find the absolute maximum and absolute minimum of f(x, y) on the region D. Figure I P3 for Question #4 2(2,0) 2 2 60

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Question
1:05 AM | 0.0KB/s "
Figure I
P3
1. Let f(x,y) = x² + xy + y² Let D be the region in the ry- plane bounded by a
hexagon whose center is at the origin (0, 0), and one of the vertices of the hexagon
is at the point (2,0) (see Figure I) Note: The region D is the region that includes
the boundary of the hexagon and the interior of the hexagon. Find the absolute
maximum and absolute minimum of f(x, y) on the region D.
for
P₁4
= d = 4
Question #4
Vo
LTE
P₂3
3³ 1²/² d = a = 2
4G
2(2,0)
2
15
1
60
Transcribed Image Text:1:05 AM | 0.0KB/s " Figure I P3 1. Let f(x,y) = x² + xy + y² Let D be the region in the ry- plane bounded by a hexagon whose center is at the origin (0, 0), and one of the vertices of the hexagon is at the point (2,0) (see Figure I) Note: The region D is the region that includes the boundary of the hexagon and the interior of the hexagon. Find the absolute maximum and absolute minimum of f(x, y) on the region D. for P₁4 = d = 4 Question #4 Vo LTE P₂3 3³ 1²/² d = a = 2 4G 2(2,0) 2 15 1 60
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