Mean value theorem proof
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Please explain how to prove the following. As much explanation as possible would be great
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
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Solution Summary
This is a proof regarding the mean value theorem.
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Dear student,
Our problem is as follows:
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
The Mean Value Theorem states that if f(x) is continuous on the closed interval [a,b] and ...
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