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Mean Value Theorem

(See attached file for full problem description with proper symbols and equations)

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First: solve these problems.
Second: check my answers.
Third: if my answers are wrong explain why.

Let . Explain whether or not the Mean Value Theorem applies on the interval [1,8]. If it does, find the number c that is guaranteed.

My Answer:

is between f(a) & f(b), therefore the Mean Value Theorem applies.

Finding c:
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