2. Let g(x) = | f(t) dt, where f is the function whose graph is shown. (a) Evaluate g(x) for x = (b) Estimate g(7). (c) Where does g have a maximum value? Where does it 0,1, 2, 3, 4, 5, and 6. %3D have a minimum value? (d) Sketch a rough graph of g. yA f 0. 4 6. t 3. Let g(x 6 f(t) dt, where f is the function whose graph is %3D

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A: (4) For any function f(x), if f'x<0 then the function is decreasing and for f'x>0 the function…

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Q: so if|x| 2 43. f(x)

A: Following is the graph plotted for individual functions.

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Q: Let f be defined for nonzero values of x such that f(5) = 2 and the derivative of f is given by…

A: a.f'(x) =x2-10x+16xwe can rewrite the eqaution by the method of factorizationf'(x) =(x-2)(x-8)xso…