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.
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