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The function f(x) = x^3+ax^2+bx+7 has a relative extrema at x = 1 and x =...

The function f(x) = x^3+ax^2+bx+7 has a relative extrema at x = 1 and x = -3.

a.) What are the values of a and b?

b.) Use the second derivative test to classify each extremum as a relative maximum or a relative minimum.

c.) Determine the relative extrema.

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