# Chapter 14 - Partial Derivatives - Review - Concept Check - Page 1021: 18

a) See the explanation below. b) See the explanation below. c) See the explanation below.

#### Work Step by Step

a) It consists of all the boundary or critical points and when one or more than one points does not exist in a boundary but the set should remains open or should not be closed. A bounded set is defined as the set that bounds itself in the disk and is finite. b) Extreme value theorem states that suppose $f(x,y)$ is a continuous and bounded set in a closed set of real numbers in domain $D$ whose absolute maximum values such as $f(x_1,y_1)$ and absolute minimum values such as $f(x_2,y_2)$ in the real numbers of domain $D$. c) i) Critical point of $f(x,y)$ in the domain $D$. ii) Extreme values of $f(x,y)$ in the domain $D$. iii) Absolute maximum and absolute minimum values of $f(x,y)$ in the domain $D$.

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