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Let f be the function given by f (x, y) = 4ay2 −x2y3 −x2 for all...

Let f be the function given by f (x, y) = 4ay2 −x2y3 −x2 for all (x, y) in R2, where

a ∈ R.

(a) Determine all stationary points to f when a = 0.

(b) Determine all stationary points to f when a > 0.

(c) Determine all stationary points to f when a < 0.

(d) Determine the Taylor polynomial of the second order for f origin when a = −1.

Math   Calculus   
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