Question: Let f(x) = x(x - 1)(x + 2), and set F(x) = Zx 0 f(t)dt. (a) Sketch f(x). (b) Find F(0). (c) Find all

Let f(x) = x(x - 1)(x + 2), and set F(x) =

Let f(x) = x(x - 1)(x + 2), and set F(x) = Zx 0 f(t)dt. (a) Sketch f(x). (b) Find F(0). (c) Find all critical points of F. (d) Find all intervals of increase/decrease for F. (e) Find the concavity information for F. (f) Sketch the graph of F using the above information.

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a To sketch the graph of fx xx1x 2 we can analyze its factors and their behavior The factor x represents a linear term and its graph is a straight line passing through the origin with a slope of 1 The ... View full answer

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