Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x) = x³ - 36x² on [-12, 36] What is the absolute maximum value of f and its location on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum value is 0 at x = 0, 36. (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) B. There is no absolute maximum of f on the given interval. What is the absolute minimum value of f and its location on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute minimum value is -6,912 at x = -12, 24. (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) B. There is no absolute minimum of f on the given interval.
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