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Global Extremum – Domain of a circle – Exercise 3479

Exercise

Find the maximum value and the minimum value of the function

z(x,y)=x^2-y^2-4x

In the domain

D=\{ (x,y):x^2+y^2\leq 9\}

Final Answer

\max_D z(-3,0) = 21

\min_D z(1,\pm 2\sqrt{2}) =-11

Solution

Coming soon…

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