What region r in the xy plane minimizes the value of $\displaystyle \int\int_{R}$ $\displaystyle (x^{2}+y^{2}-9)dA$ ? What are the reasons?
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Originally Posted by antman What region r in the xy plane minimizes the value of $\displaystyle \int\int_{R}$ $\displaystyle (x^{2}+y^{2}-9)dA$ ? What are the reasons? What kind of graph do you think of when you see x^2+y^2-9? You should be reminded of a circle, of radius 3. You should also think about converting to polar coordinates.
I recognize the equation of a circle but am unsure of how to answer it. Would R be the set of points (x,y) such that x^{2}+y^{2} is greater than 9?
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