Check that the function fx1 x2 x3 x12 x22 x32 - x1 - x2
Check that the function:
f(x1, x2, x3) = (x1)^2 + (x2)^2 + (x3)^2 - x1 - x2 - x3 is convex. Find the extreme values of f under the conditions:
(x1)^2 + (x2)^2 = 4, -1 <= x3 <= 1. (x3 goes from -1 to 1)
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