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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Isn't $\displaystyle f(x,y)=(x-1)^2+(y-2)^2$ at a minimum at $\displaystyle (1,2)$ and then just gets bigger from there? Then in the circle $\displaystyle x^2+y^2=45$ wouldn't it have a maximum at the point most distant from $\displaystyle (1,2)$?
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