求解多元函数极值问题：Findtheabsolutemaxandminvalueoff(x,y)=xy-y^2+2x^2Findtheabsolutemaxandminvalueoff(x,y)=xy-y^2+2x^2overtheregion｛（x,y）:-1≤x≤1,|x|≤y≤1｝.求函数F（X，Y）=XY-Y^2+2X^2的最

Question

求解多元函数极值问题：Find the absolute max and min value of f(x,y)=xy-y^2+2x^2
Find the absolute max and min value of f(x,y)=xy-y^2+2x^2 over the region ｛（x,y）:-1≤x≤1 ,|x|≤y≤1｝.
求函数F（X，Y）= XY- Y^ 2+2 X ^ 2的最大值和最小值，限制区域{（X，Y）：-1≤X≤1，| X |≤Y≤1}。

Answer 1

Find the absolu