Exercises 27 and 28: A study suggests that the extinction rate r(t) of marine animal

Chapter 5, Problem 27

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Exercises 27 and 28: A study suggests that the extinction rate r(t) of marine animal families during the Phanerozoic Eon can be modeled by the function r(t) = 3130/(t + 262) for 0 t 544, where t is time elapsed (in millions of years) since the beginning of the eon 544 million years ago. Thus, t = 544 refers to the present time, t = 540 is 4 million years ago, and so on. 27. Compute the average of RN and LN with N = 5 to estimate the total number of families that became extinct in the periods 100 t 150 and 350 t 400.

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