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Exercise 4: Let P+ : (17,7), r 1), where n : 1/30 1). Find the Jacoe bian J(P+). The characteristic polynomial of this is p())

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Exercise 4: Let P+ : (17,7), r 1), where n : 1/30 1). Find the Jacoe bian J(P+). The characteristic polynomial of this is p()\\) : det(J(P+) /\\|) : )\\3 431 A2 g0 + 10)/\\ + 143,0(1 r). Graph the characteristic polynomial for four choices of r: one in the interval (1,1.34562), one with r : 1.34562. one in the interval (134562247368). and one with r > 24.7368. Use your graphs to determine the type and stability of the critical point in the first three cases. Is it obvious what is happening when r > 24.7368? (The values r : 1.34562 and r : 24.7368 are those where significant changes in the behavior of the system occur.1) Describe what properties of the critical point you can see changing as r crosses these values

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