Average Value: The average value of a multivariable function f(x, y) on a region R can be calculated using the scaled double integral: 1 (1) Area(R) // (r, 2) dA R Q5. Using the above formula in (1), determine the average value of f(x, y) = x'y – 2xy over the region R that is defined as: R= [-a,a| × [-a, a] and a > 0 a constant. %3D 1

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Average Value: The average value of a multivariable function f(x, y) on a region R can be
calculated using the scaled double integral:
1
(1)
Area(R) // (r, 2) dA
R
Q5. Using the above formula in (1), determine the average value of f(x, y) = x'y – 2xy over the
region R that is defined as: R= [-a,a| × [-a, a] and a > 0 a constant.
%3D
1
Transcribed Image Text:Average Value: The average value of a multivariable function f(x, y) on a region R can be calculated using the scaled double integral: 1 (1) Area(R) // (r, 2) dA R Q5. Using the above formula in (1), determine the average value of f(x, y) = x'y – 2xy over the region R that is defined as: R= [-a,a| × [-a, a] and a > 0 a constant. %3D 1
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