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Math Help - Minimizing a double integral

  1. #1
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    Minimizing a double integral

    What region r in the xy plane minimizes the value of \int\int_{R} (x^{2}+y^{2}-9)dA ? What are the reasons?
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  2. #2
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    Quote Originally Posted by antman View Post
    What region r in the xy plane minimizes the value of \int\int_{R} (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.
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  3. #3
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    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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