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Suppose that the following is true about the function g : 1. So g(x) dx = 2 . f g(x)dx = -1 Ill. S2 g(x)dx

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Suppose that the following is true about the function g : 1. So g(x) dx = 2 ". f g(x)dx = -1 Ill. S2 g(x)dx = 7 Answer the following: A. Evaluate So 3g(x) da B. Evaluate So g(x)dx C. Evaluate S2 9(x - 2) da D. Explain why g must be negative somewhere in the interval [1, 2] . The function f is a continuous function with the following characteristics: f' (x) 0 on (-3, -1) f' (-3) = 0, f' (1) = 0, f' (-1) is undefined f" (x) 0 on (-0o, -1) U (-1, 1) U (3, co) f" (1) = 0, f" (3) = 0, f" (-1) is undefined. Sketch a graph of a continuous function f (a) consistent with the information. y-axis CamScanner

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