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1) Find the absolute maximum value and the absolute minimum, if any, of the given function....

1) Find the absolute maximum value and the absolute minimum, if any, of the given function. f(x) = 2x 3 − 3x 2 − 36x + 5 on [−1, 4]

2) A manufacturer of a certain commodity has estimated that her profit in thousands of dollars is given by the expression −2x 2 + 14x−6 where x (in thousands) is the number of units produced. What is the maximum profit the manufacturer could realize on the commodity?

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