Give an Example of a Non-Constant Function F(x, Y) Such $R = \{ ( x , y ) \mid - 1 \leq x \leq 1 , - 1 \leq y \leq 1 \}$

question 236

Essay

Give an example of a non-constant function f(x, y) such that the average value of f over $R = \{ ( x , y ) \mid - 1 \leq x \leq 1 , - 1 \leq y \leq 1 \}$ is 0.

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Definitions:

Barium

A chemical element, signified by the symbol Ba, used primarily in medical x-rays of the gastrointestinal tract due to its ability to absorb x-rays.

Paralytic Ileus

Paralysis of the intestinal wall with symptoms of acute obstruction.

Small Intestine

A part of the gastrointestinal tract where most of the digestion and absorption of nutrients takes place.

Bile

A secretion of the liver; a greenish-yellow fluid with a bitter taste.