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1. The absolute maximum value of f(x) = x 3 − 3x 2 + 12 on...

1. The absolute maximum value of f(x) = x 3 − 3x 2 + 12 on the interval [−2, 4] occurs at x =? Show your work.

2.t. Let f(x) = sin x + cos2 x. Find the absolute maximum, and absolute minimum value of f on [0, π]. Show your work.

Absolute maximum:

Absolute minimum:

3.Let f(x) = x √ (x − 2). The critical numbers of f are_______. Show your work.

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