A study suggests that the extinction rate r(t) of marine animal families during the Phanerozoic Eon can

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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 (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.

Compute the average of RN and Lwith 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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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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