f(x, y) = 4x² + 5y2 on the closed triangular region bounded by the lines y = x, y = 2x, and x+y=6 A) Absolute maximum: 96 at (2, 4); absolute minimum: 81 at (3, 3) B) Absolute maximum: 96 at (2, 4); absolute minimum: 0 at (0, 0) absolute minimum: 0 at (0, 0) D) Absolute maximum: 81 at (3, 3); absolute minimum: 36 at (2, 2) C) Absolute maximum: 81 at (3, 3);
f(x, y) = 4x² + 5y2 on the closed triangular region bounded by the lines y = x, y = 2x, and x+y=6 A) Absolute maximum: 96 at (2, 4); absolute minimum: 81 at (3, 3) B) Absolute maximum: 96 at (2, 4); absolute minimum: 0 at (0, 0) absolute minimum: 0 at (0, 0) D) Absolute maximum: 81 at (3, 3); absolute minimum: 36 at (2, 2) C) Absolute maximum: 81 at (3, 3);
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Find the extreme values of the function subject to the given constraint.
Transcribed Image Text:f(x, y) = 4x² + 5y² on the closed triangular region bounded by the lines y = x, y = 2x, and
x + y = 6
A) Absolute maximum: 96 at (2, 4); absolute minimum: 81 at (3, 3)
B) Absolute maximum: 96 at
C) Absolute maximum: 81 at
D) Absolute maximum: 81 at
(2, 4);
(3, 3);
(3, 3);
absolute minimum: 0 at (0, 0)
absolute minimum: 0 at (0, 0)
absolute minimum: 36 at (2, 2)
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