Suppose that f(x) = 16x6 In(x), x>0. (If an answer does not exist, enter DNE.) (a) Find all partition numbers of f'(x). (Enter your answers as a comma-separated list.) X (b) Find all critical values of f(x). (Enter your answers as a comma-separated list.) x= DNE X = 38 (c) Find the interval(s) where f(x) is increasing. (Enter your answer using interval notation.) (d) Find the interval(s) where f(x) is decreasing. (Enter your answer using interv₁notation.) 8 38 (e) Find the x-value(s) of all local maxima of f(x). (Enter your answers as a comma-separated list.) 3080 x = 30100 8

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A: Given Information: Sample size n=1032Sample proportion pˆ=73%=0.73Margin of error E=3.9%=0.039

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A: b) c)