Geometric mean between two positive real numbers a and b is
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The geometric mean of a and b is if a and b are positive and. if a and b are negative. (Definition 4 The geometric mean is the positive square root of the product of two numbers
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The geometric mean of two positive numbers a and b is the number sqrt(ab). Show that the value of c in the conclusion of the Mean Value Theorem for f(x) = 1/x on an interval of positive numbers [a, b] is c = sqrt(ab)
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