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Problem #4 [5 pts.) Consider F(x) = xe (1-x) for 1> 0 and r 2 0. a) [1pt] Find the critical point of F. b)

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Problem #4 [5 pts.) Consider F(x) = xe (1-x) for 1> 0 and r 2 0. a) [1pt] Find the critical point of F. b) (3pts Use Matlab (or the software of your choice) to create an orbit diagram for 1 (0.1, 3). Remember to use the critical point in a) as your seed value. Attach the orbit diagram as well as the code you used to construct the orbit diagram. c) [1pt] Name at least two features you observe when studying the orbit diagram you obtained in b)

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