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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

Calculate max and min value of the function \(\displaystyle f(x,y)=x^2+y^2-2x-4y+8\)

in the range defined by the \(\displaystyle x^2+y^2≤9\)

Progress:

\(\displaystyle f_x(x,y)=2x-2\)

\(\displaystyle f_y(x.y)=2y-4\)

So I get \(\displaystyle x=1\) and \(\displaystyle y=2\) We got one end point that I don't know what to do with \(\displaystyle x^2+y^2≤9\)

If I got this right it should be a elips that x can max be 3,-3 and y 3,-3

in the range defined by the \(\displaystyle x^2+y^2≤9\)

Progress:

\(\displaystyle f_x(x,y)=2x-2\)

\(\displaystyle f_y(x.y)=2y-4\)

So I get \(\displaystyle x=1\) and \(\displaystyle y=2\) We got one end point that I don't know what to do with \(\displaystyle x^2+y^2≤9\)

If I got this right it should be a elips that x can max be 3,-3 and y 3,-3

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