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8. Find the maximum of the function f (x, y, z) = 11:53:9222 on the sphere 2:2 + y2 + 22 = 02. Conclude the
8. Find the maximum of the function f (x, y, z) = 11:53:9222 on the sphere 2:2 + y2 + 22 = 02. Conclude the inequality 2:2 + y2 + 22 3 , which states that the geometric mean of three nonnegative numbers x2, y2, 22 is never greater than their arithmetic mean. (x2y2z2)% S
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