problem attached.

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- Jun 10th 2010, 09:14 AM #1

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- Jun 10th 2010, 11:02 AM #2
Let

Clearly, this function is differentiable in the interval .

Let's apply the mean value theorem on that interval: where .

Hence: (check this!)

Refer to the given to get:

Hence, we have found a constant satisfying the given equation. Thus, given equation has at least one solution in

Hope this helps

- Jun 10th 2010, 11:48 AM #3

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