The idea of the average value of a function, discussed earlier for functions of the form y
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The idea of the average value of a function, discussed earlier for functions of the form y = f (x), can be extended to functions of more than one independent variable. For a function z = f (x, y), he average value of f over a region R is defined as
where A is the area of the region R. Find the average value for each function over the regions R having the given boundaries.
ƒ(x, y) = e-5y+3x; 0 ≤ x ≤ 2, 0 ≤ y ≤ 2
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x y e 5y3x 0 x 2 0 y 2 The area of regio...View the full answer
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