1. A ferris wheel with a radius of 8 m is rotating at a rate of one revolution every three minutes. How fast is a rider rising when her seat is 12 m above ground level? 2. Give an example of a function with a critical point that is neither a maximum nor a minimum. Specify the relevant point(s), and explain how you know that this point fits the
description
3. The Mean value Theorem says that if f is a function that is continuous on a closed interval (a, b) and fis differentiable on the open interval (a, b) then there is a number c in (a, b)
such that f'(c)
(6) - f(a)
Suppose that f(x) = 1x - 11.
ba
Chint: think carefully about what the meaning of the derivative is, and how that
(a) Explain why there is no value of c on the interval (0,3) where f'(c) =
(3) - (0)
relates to this particular function).
(b) Explain why this does not contradict the mean value theorem.
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