Find the Absolute Maximum and Minimum Value Of $f ( x , y ) = 2 x + y$

question 278

Essay

Find the absolute maximum and minimum value of $f ( x , y ) = 2 x + y$ on the square region $D$ with vertices $( 0,0 )$ , $( 0,2 )$ , $( 1,2 )$ , and $( 1,0 )$ .

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Definitions:

Cricoid Cartilage

A ring-shaped cartilage found at the base of the larynx (voice box), providing structure and support.

Suprasternal Notch

The anatomical indentation visible at the throat's base, above the sternum and between the clavicles.

Jugular Notch

A large, visible dip in the upper edge of the sternum, between the neck and the collarbone.

Clavicle

A long bone that serves as a strut between the shoulder blade and the sternum or breastbone; also known as the collarbone.