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please do all. 10) [7] For the (unique) function satisfying: f'(x) = 7(x 12)3(x23)4(x34)5 f (2) = 0 i) Draw a graph of f (x)

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10) [7] For the (unique) function satisfying: f'(x) = 7(x 12)3(x23)4(x34)5 f (2) = 0 i) Draw a graph of f (x) by using a derivative sign chart to nd where f (x) is increasing versus decreasing: NOTE: DO NOT FIND THE ACTUAL FUNCTION! ii) Find the possible highest points and lowest points on the graph in the indicated intervals: a) [100,100] : b) [15,100] : c) [42,100]

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