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akjarvis0
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Homework Statement
If you know the area of a region with constant density, and you know xbar and ybar, then its possible to compute [tex]\int\int[/tex] ax+by dA for any constant a and b. [Hint: write down the formulas for the center of mass of a region.
If A=5 and (xbar,ybar)=(2,3), Compute[tex]\int\int[/tex] 7x-4y dA.
Homework Equations
xbar = double integral of x * density dA all over the double integral dA.
The Attempt at a Solution
I've tried using the area and the known values of xbar and ybar. but I really don't know where to get started. How can knowing xbar and ybar give us our bounds on the double integral?