Question: v 1) Pick one of the surfaces whose level curves are circles. Show, algebraically, that we get circles. Explain why the equations of the level

 v 1) Pick one of the surfaces whose level curves are

v 1) Pick one of the surfaces whose level curves are circles. Show, algebraically, that we get circles. Explain why the equations of the level curves match the behavior of the surfaces 2) Find the absolute maximum and absolute minimum of f(x. y) = x3 xy + y2 x on the closed triangular region with vertices (0,0), (2,0) and (0,2).

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