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Find the Average Value of the Given Function

question 175

Short Answer

Find the average value of the given function

f(x, y)

over the plane region R. Enter your answer as a fraction.
Find the average value of the given function ​ f(x, y) ​ over the plane region R. Enter your answer as a fraction. ​   ; R is the triangle with vertices (0, 0), (5, 0) and (5, 5). ; R is the triangle with vertices (0, 0), (5, 0) and (5, 5).


Definitions:

Effort

The amount of energy, work, or concentration applied towards a task or goal.

Valence

In psychology and motivational theory, the degree of attractiveness or aversiveness an outcome holds for a person, influencing their motivation levels.

Valence

The value or importance an individual places on the expected outcome of a particular behavior or action.

Expectancy

The belief or anticipation regarding the outcome of one's efforts, which can significantly influence motivation and behavior.

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