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Suppose f(3)=2, f '(3)=1/2, and
f '(x)> 0 and f "(x) < 0 for all x.
(a) Sketch a possible graph of f
(b) how many solutions does the equation f(x)=0 have? Why?
(c) Is it possible that f '(2) = 1/3? Why?
Oct 2, 2008

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