prs. = y – x-2 = 0 x + 8y-2 = 0 board box without a lid is to have a volume nt of cardboard used.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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x²y²-8x+y
2. a) Find the local maximum and minimum values and saddle point(s) of the function f(x,y) :
ху
Graph the factors (roughly) with a domain of view point that reveal all the important aspects of the
Factors.
fx = y – x-2 = o
%3D
fy = x + 8y¬2 = 0
b) A cardboard box without a lid is to have a volume of 32,000 cm³. Find the dimensions that minimize
the amount of cardboard used.
Transcribed Image Text:x²y²-8x+y 2. a) Find the local maximum and minimum values and saddle point(s) of the function f(x,y) : ху Graph the factors (roughly) with a domain of view point that reveal all the important aspects of the Factors. fx = y – x-2 = o %3D fy = x + 8y¬2 = 0 b) A cardboard box without a lid is to have a volume of 32,000 cm³. Find the dimensions that minimize the amount of cardboard used.
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