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Name: Total: 20 pts. The following problems involve f (x) = 3x4 - 8x3 - 66x2 + 144x + 400 1. Find the relative extrema

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Name: Total: 20 pts. The following problems involve f (x) = 3x4 - 8x3 - 66x2 + 144x + 400 1. Find the relative extrema of this function using the Second Derivative Test. Discuss the behavior of the function (increase/decrease) and how it relates to f'(x). 8 pts. 2. Use the information from problem 1 to find the possible inflection points. Discuss the concavity, and how it relates to f"(x). 6pts

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