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3. (05.06 MC) The second derivative of a function is given by f(x) = xcosx. How many points of inflection does f have on the

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3. (05.06 MC) The second derivative of a function is given by f"(x) = xcosx. How many points of inflection does f have on the interval (-2nt, It)? (1 point) O 4 O 5 6 O 3 4. (05.06 MC) Given f'(x) = 10x# + 16x3, determine the x-value(s) where a point of inflection exists on the graph of f. (1 point) O X = O X = O X= 6 and x = 05. (05.06 MC) y 4 - NW 4 X -3 -4 5 4 -3 -2 -1 0 1 2 3 4 5 The graph of f is shown in the figure above. Which of the following could be the graph of f"? (1 point)O y A X AUNLOANW 25 4 -3 -2 -1 0 1 2 3 4 5 O 5 y X AWN LOS NW 25 4 -3 2 -1 0 1 2 3 4 5\f1. (05.06 MC) Given f'(x) = 4x3 + 12x2, determine the interval(s) on which fis both increasing and concave up. (1 point) O (0, 00) O (-3, 00) O (- 3, -2) and (0, co) O (-oo, -3) and (-2, 0) 2. (05.06 MC) Let f be the function with derivative defined by f'(x) = cos(x) on the interval -2

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