Question: x 1) Suppose f is a continuous function with domain [76, 3] whose graph is given in the figure below, and set A(x) = f

x 1) Suppose f is a continuous function with domain [76, 3] whose graph is given in the figure below, and set A(x) = f f(t) dt. 6 a) (5 points) Find the x-coordinate(s) of the GLOBAL maximum of A on the interval [75. 3] (if there is not one, write 'NONE'). Explain. b) (4 points) On which interva|(s) is the function A both decreasing and concave down? INTERVAL{5) : c) (5 points) Find the value of the derivative: [0% (A(x3)):| x:2 VALUE : _ . __ _ A(x) d) (5 points) Evaluate the limit. xT sin(1rX)- VALUE
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