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Problem #10: (3p [3 marks] Consider the following function and its first derivative: f (x) = Te *(-x2+ 3x -3) and f'(x) = 7e-*(x2 - 5x+6). (a) Show that f (x) has exactly two critical points. Show all of your work for (a) on Crowdmark and copy the x-values for each critical point in the first box below, separating them with a comma. (b) Determine the absolute maximum value (y-coordinate) of f(x) on the interval [1, 3]. If using a theorem from class, clearly identify any assumption(s) and conclusion(s). Show all of your work on Crowdmark. Copy your final answer to (b) in the second box below, rounded to 3 decimal places if rounding is required