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The function f is defined on the interval -5 ≤ x ≤ c, where c > 0 and f(c) = 0. The graph of f, which consists of three line segments and a quarter of a circle with center (-3, 0) and radius 2, is shown in the figure.a) Find the average rate of change of f over the interval [-5, 0]. Show the computations that lead to your answer.b) For -5 ≤ x ≤ c, let g be the function defined by g(x) = ∫-1^x f(t) dt. Find the x-coordinate of each point of inflection of the graph of g. Justify your answer.c) Fin
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