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f(x, y) = x2 + y2 + 2xy + 6. 1. Find all the local extremas....

f(x, y) = x2 + y2 + 2xy + 6.

1. Find all the local extremas.

2. Does the function f has an absolute max or min on R2 ?

3. Draw E = {(x, y) ∈ R2; x >=0; y >=0; x + y<=1}.

4. Explain why f has an absolute max and min on E and find them.

Math   Calculus   
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