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Find the Average Value Of f(x)=x25x2f ( x ) = x \sqrt { 25 - x ^ { 2 } }

Question 26

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Find the average value of f(x)=x25x2f ( x ) = x \sqrt { 25 - x ^ { 2 } } on the interval [0,5][ 0,5 ] . At how many points in the interval does f(x)f ( x ) have this value?

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