## Question

###### For the function f(xy) =1-x3ry on the disc x +y < [(a) Find all critical points of fAre the critical points of (a) degenerate? If not; what kind of critical points are they?(c) Find the absolute maximum of f on the disc_(d)Find the absolute minimum of on the disc.(e) Give rough sketch of the gradient vector field on the disc:(f) Give rough sketch of the level curves of the function on the disc .

For the function f(xy) =1-x 3ry on the disc x +y < [ (a) Find all critical points of f Are the critical points of (a) degenerate? If not; what kind of critical points are they? (c) Find the absolute maximum of f on the disc_ (d)Find the absolute minimum of on the disc. (e) Give rough sketch of the gradient vector field on the disc: (f) Give rough sketch of the level curves of the function on the disc .

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