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14. A relation R is defined on the set R+ of positive real numbers by a R b if the arithmetic mean (the average) of

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14. A relation R is defined on the set R+ of positive real numbers by a R b if the arithmetic mean (the average) of a and b equals the geometric mean of a and b, that is, ifVab. (a) Prove that R is an equivalence relation. (b) Describe the distinct equivalence classes resulting from R

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