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3 (a) Suppose f is a function such that f'(9:) = sins: and f(0) = 0. Sketch the graph of sinm, and then sketch a

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3 (a) Suppose f is a function such that f'(9:) = sins: and f(0) = 0. Sketch the graph of sinm, and then sketch a rough graph of f (3) on [277, 47]. 1 1 (b) Suppose g is a function such that gl(m) = E and 9(1) = 0. Sketch the graph of 97km) = 5' and then sketch two different possible graphs of g($) on [4,4]. (c) Are there multiple possible graphs of f (m) in (a)? Why or why not? How is this similar to or different from (b)

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