16th Edition

ISBN: 9781938168079

Author: Gilbert Strang, Edwin Jed Herman

Publisher: OpenStax

Concept explainers

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

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In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

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Textbook Question

Chapter 4.7, Problem 346E

Find the absolute extrema of the given function on the indicated closed and bounded set R.

346. f ( x , y ) = x 3 − 3 x y − y 3 on R={( x , y ) : − 2 ≤ x ≤ 2 , − 2 ≤ y ≤ 2 }

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Chapter 4.7, Problem 345E

Chapter 4.7, Problem 347E

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