Let f be a function defined for all x >0 such that f(5) =2 and the derivative of f is given by f' (x) = 22-10z+16 for all x >0. a). Find all values of x for which the graph of f has a relative (local) maximum and relative (local) minimum. Be sure to specify which value is the relative maximum and which is the relative minimum. b). Find the minimum value of the slope of f (them minimum value of the derivative, f (x) if x >0. c). Identify any interval(s) over which f is concave up if x >0.

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