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The mean value theorem can be applied to all continuous functions (or expressions), and so it is applicable here.

There is no equation in te question and furthermore, no c (other than the first letter of cos in the expression so there are no values for c to satisfy anything!

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Q: Determine whether the Mean Value Theorem can be applied Then find all values of c that satisfy the theorem y equals 2 cos x plus cox 2x on 0 to π?
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