Suppose that a function f is defined by f(x) = f*" (e-t³+3t)dt. Determine the intervals on which f is concave up and concave down.

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Q: 32. Assume that f is continuous and S f(t)dt = sinx -x cos.x. (a) Determine f(π). (b) Find f'(x).

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Q: Given f"(x) = 9x - 1 and f'(0) = 5 and f(0) = -1. Find f'(x) = and find f(4) =

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Q: Use integration by parts to evaluate xex (x + 1)² S - dx

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