1) Suppose f is a continuous function with domain [-3, 6] whose graph is given in the figure below, and set A(x) = / f(t) dt. y =f(x) 4 NO 1 -3 -2 -1_1 1 2 3 4 5 -2 a) (5 points) Find the x-coordinate(s) of the GLOBAL maximum of A on the interval [-3, 6] (if there is not one, write 'NONE'). Explain. X =. b) (4 points) On which interval(s) is the function A both increasing and concave down? INTERVAL(S) : c) (5 points) Find the value of the derivative: lax (4(x)]- VALUE : d) (5 points) Evaluate the limit: lim A (x) * *- 3+ sin(TX) VALUE