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Let g(x) = "f(t) dt, where f is the function whose graph is shown. 4 3 2 1 1 2 3 4 5 6 -1 -2 (a) Evaluate g(0), g(1), g(2), g(3), and g(6). 9(0) = 9(1) = g(2) = 9(3) = 9(6) = (b) On what interval is g increasing? (Enter your answer using interval notation.) (c) Where does g have a maximum value? X =\fFind g'{x} in two of the following ways. {a} by using part one of the fundamental theorem of calculus {b} by evaluating the integral using part two of the fundamental theorem of calculus and then differentiating Use part one of the fundamental theorem of calculus to find the derivative of the function. X g(x) = t+ +3 dt g'(x) =Use part one of the fundamental theorem of calculus to find the derivative of the function. S 9(5) = (t - to ) dt g'(s) =