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)=2x3+4x2+y22xyz(x,y)=2x^3+4x^2+y^2-2xy

In the domain

D={(x,y):yx2,y4}D=\{ (x,y): y\geq x^2, y\leq 4\}

Final Answer


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

Solution

Coming soon…

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