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Extreme values over a region Find the absolute maximum and minimumvalues of ƒ(x, y) = xy - 8x - y2 + 12y + 160 over the triangular region R = {(x, y2: 0 ≤ x ≤ 15, 0 ≤ y ≤ 15 - x}.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.CR: Chapter Review Exercises

Problem 15CR: Minimum Find the minimum value of x2+20/(x+1) on the horizontal span of 0 to 10.

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Question

Extreme values over a region Find the absolute maximum and minimum
values of ƒ(x, y) = xy - 8x - y² + 12y + 160 over the triangular region R = {(x, y²: 0 ≤ x ≤ 15, 0 ≤ y ≤ 15 - x}.

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