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OpenStudy (anonymous):
Assume that f is continuous on [-4,4] and differentiable on (-4,4). The table gives some values of f'(x) x: -4, -3, -2, -1, 0, 1, 2, 3, 4 f'(x): 74, 39, 10, -6, -14, -12, 0, 22, 55 a) estimate where f is increasing, decreasing, and has local extrema. b) Find the quadratic regression equation for the data in the table. c) Use the model in (b) for f' and find the formula for f that satisfies f(0)=0
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