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Global Extremum – Domain of a parabola and a line – Exercise 3463

Exercise

Find the maximum value and the minimum value of the function

z(x,y)=2x^3+4x^2+y^2-2xy

In the domain

D=\{ (x,y): y\geq x^2, y\leq 4\}

Final Answer


\max_D z(\pm 2,4) = 32,\min_D z(0,0) =0

Solution

Coming soon…

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