The average value or mean value of a continuous function f x , y R = a , b × c , d is defined as f ave = 1 A R ∬ R f x , y d A Where A R = b − a d − c is the area of the rectangle R (compare to Definition 5.8.1). Use this definition in these exercises. Show that if f x , y is constant on the rectangle R = a , b × c , d , say f x , y = k , then f ave = k over R .
The average value or mean value of a continuous function f x , y R = a , b × c , d is defined as f ave = 1 A R ∬ R f x , y d A Where A R = b − a d − c is the area of the rectangle R (compare to Definition 5.8.1). Use this definition in these exercises. Show that if f x , y is constant on the rectangle R = a , b × c , d , say f x , y = k , then f ave = k over R .
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY