13. (10 pt) Let ( f(x, y)= frac{1}{2} x^{2}+y^{3}-x y ) and ( D= left {(x, y) in mathbf{R}^{2}:-1 leq x leq 1,-1 leq y leq 1 right } ). (a) (5 pt) Draw a picture of ( D ) and parametrize its boundary. Is ( D ) closed? Is it bounded? (b) (5 pt) Find the absolute maxima and minima of ( f(x, y) ) on ( D ).

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13. (10 pt) Let  ( f(x, y)= frac{1}{2} x^{2}+y^{3}-x y  ) and  ( D= left {(x, y)  in  mathbf{R}^{2}:-1  leq x  leq 1,-1  leq y  leq 1 right }  ). (a) (5 pt) Draw a picture of  ( D  ) and parametrize its boundary. Is  ( D  ) closed? Is it bounded? (b) (5 pt) Find the absolute maxima and minima of  ( f(x, y)  ) on  ( D  ).

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Expert Answer to -   13. (10 pt) Let  ( f(x, y)= frac{1}{2} x^{2}+y^{3}-x y  ) and  ( D= left {(x, y)  in  mathbf{R}^{2

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Solution for -   13. (10 pt) Let  ( f(x, y)= frac{1}{2} x^{2}+y^{3}-x y  ) and  ( D= left {(x, y)  in  mathbf{R}^{2

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This an additional answer to -   13. (10 pt) Let  ( f(x, y)= frac{1}{2} x^{2}+y^{3}-x y  ) and  ( D= left {(x, y)  in  mathbf{R}^{2

(Solved): 13. (10 pt) Let \( f(x, y)=\frac{1}{2} x^{2}+y^{3}-x y \) and \( D=\left\{(x, y) \in \mathbf{R}^{2 ...

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