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Math Help - finding the maximum...?

  1. #1
    sue
    sue is offline
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    finding the maximum...?

    How do you do this...

    find the maximum of f(x,y)= (x-1)^2 + (y-2)^2 on x^2 + y^2 less than or equal to 45 .

    ?

    Please help. Thanks!
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  2. #2
    Super Member
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    Isn't f(x,y)=(x-1)^2+(y-2)^2 at a minimum at (1,2) and then just gets bigger from there? Then in the circle x^2+y^2=45 wouldn't it have a maximum at the point most distant from (1,2)?
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