region

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
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Find the absolute extrema of the function over the region R. (In each case, R contains the boundaries.) Use a computer algebra system to confirm your results.

f(x, y) = x2 + 2xy + y2,    R = {(x, y) : |x| ≤ 7, |y| ≤ 3}
(x, y, z) = (
 
) (smallest x-value)
     
(x, y, z) = (
 
) (largest x-value)
     

 

y =
 
 
 

absolute minimum  

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