The average value of f(x, y) over the rectangle R = {(x, y) a s*S b, csysd} is %3D 1 fave (6- a)(d- c) . f(x, y) dA. (2-P)(e-q) Find the average value of f(x, y) xy? over R = {(x, y) |0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 29E: Explain the difference between the average rate of change of y as x changes a to b, and the...
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6. The average value of f(x. y) over the rectangle R = {(x, y) |asx< b, csys d} is
%3D
1
, f(x.y) dA.
fave
xy?
over R = {(x, y) |0<x<1, -3 < y 3}.
x2 +1
Find the average value of f(x, y) =
%3D
%3D
Transcribed Image Text:6. The average value of f(x. y) over the rectangle R = {(x, y) |asx< b, csys d} is %3D 1 , f(x.y) dA. fave xy? over R = {(x, y) |0<x<1, -3 < y 3}. x2 +1 Find the average value of f(x, y) = %3D %3D
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