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what is the maximum of the function g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 over the region 0 ≤ x ≤ 5 and 0 ≤ y ≤ 5? At which values of x and y is it at maximum?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section: Chapter Questions

Problem 60RE

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Question

what is the maximum of the function g(x,y) = (x² + y - 11)² + (x + y² - 7)² over the region 0 ≤ x ≤ 5 and 0 ≤ y ≤ 5? At which values of x and y is it at maximum?

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