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Let g(x) = / f(t) dt, where f is the function whose graph is shown. 16 12 f 4 4 8 1216 20 24 t
Let g(x) = / "f(t) dt, where f is the function whose graph is shown. 16 12 f 4 4 8 12\\16 20 24 t -4 -8 (a) Evaluate g(0), g(4), g(8), g(12), and g(24). g(0) = 0 9(4) = 32 g (8) = X g(12) = -288 X g(24) = -192 (b) On what interval is g increasing? (Enter your answer using interval notation.) x = 8 X (c) Where does g have a maximum value? X = 64 XA graphing calculator is recommended. Use a graph to nd approximate Xecoordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves. (Round your answer to two decimal places.) y : 5X 5in(x2), y : 5x4, X 2 O E
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