Question

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. Compute the average of R_N and L_N with N = 10

to estimate the total number of families that became extinct in the periods

460 ≤ t ≤ 510.

(Round your answer to three decimal places.)

Answer 1