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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- Jan 25th 2010, 09:02 AMsuefinding 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! :) - Jan 25th 2010, 11:01 AMshawsend
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 $\displaystyle (1,2)$?