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23-12-2017
Mathematics

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The average value of the function v(x)=3/x2 on the interval [1,c] is equal to 1. find the value of
c.

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23-12-2017

Average value = 3/c^2 - 3
----------- = 1
c - 1

3/c^2 - 3 = c - 1

3/c^2 - c - 2 = 0

3 - c^3 - 2c^2 = 0

c = 1

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