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Find the extreme values

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Reference no: EM13965060

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)

Reference no: EM13965060

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