6. Find the global minimum and maximum values of the function f(x, y) = x²+4z-4y² + 4y on the triangle consisting of points (x, y) such that 0 ≤ 2y ≤ ≤ 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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6. Find the global minimum and maximum values of the function f(x, y) = x²+4x-4y² +4y
on the triangle consisting of points (x, y) such that 0 ≤ y ≤ x ≤ 2.
7. Use the method of I agrango multinlion
Transcribed Image Text:6. Find the global minimum and maximum values of the function f(x, y) = x²+4x-4y² +4y on the triangle consisting of points (x, y) such that 0 ≤ y ≤ x ≤ 2. 7. Use the method of I agrango multinlion
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