Find the Average Value of the Function F Over the Given

question 54

Multiple Choice

Find the average value of the function f over the given region.
-f(x, y) = 8x + 5y over the triangle with vertices (0, 0) , (2, 0) , and (0, 7) .

• A) \(\frac { 23 } { 3 }\)
• B) 7
• C) \(\frac { 16 } { 3 }\)
• D) 17

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Definitions:

Fixed Ratio

A schedule of reinforcement where a response is only reinforced after a specified number of responses.

Variable Ratio

A reinforcement schedule in which responses are rewarded after a varied number of responses, enhancing motivation.

Puzzle Box

An experimental apparatus used in animal learning studies, especially with cats, to observe problem-solving behavior when an animal is placed in a confined space with a mechanism to open a door.

Mild Shocks

Low-intensity electrical stimuli used in various psychological experiments to study behavior, learning, and perception.