Find the average value of f(x y) over the rectangle

The best way to Find the average value of f(x y) over the rectangle is to eliminate as many options as possible.

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Finding average value from a double integral

Find the average value of f over the given rectangle. f(x, y) = e^y \sqrt{x + e^y} , R = [0, 4] \times [0, 1]Watch the full video at:https://www.numerade.com

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Answer to Question #139339 in Calculus for Promise Omiponle

Average value of f = 1 A ∫ ∫ R f (x, y) d A Where A is the area of the region R We can say: R = [− 1, 1] × [0, 5] Therefore A = 2 ⋅ 5 = 10 Average value of f = 1 10 ∫ − 1 1 [∫ 0 5 x 2 y d y] d x Integrate with
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Find the average value of f(x, y) = (5e^y) sqrt(x + e

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How to find the average value of $f(x,y)$ on $R=\{(x,y)

The average value of f(x, y) in the given rectangle is 25. So we want to find the average value of f(x, y) = 3*x^2*y on the rectangle with vertices (−5, 0), (−5, 3), (5, 3), (5, 0).
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