The Mean Value Theorem guarantees that for a continuous, differentiable function on [a,b]:

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B) There exists c in (a,b) where f'(c) = [f(b)-f(a)]/(b-a). MVT: there exists at least one point c where the instantaneous rate equals the average rate of change.

The Mean Value Theorem guarantees that for a continuous, differentiable function on [a,b]:

✓ Correct Answer: Option B

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