From a 2005 study by the Fisheries Research Services in Aberdeen, Scotland, we infer that the average
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From a 2005 study by the Fisheries Research Services in Aberdeen, Scotland, we infer that the average length in centimeters of the species Clupea harengus (Atlantic herring) as a function of age t (in years) can be modeled by the function
for 0 ≤ t ≤ 13. See Figure 1.
(a) How fast is the average length changing at age t = 6 years?
(b) Use a plot of L'(t) to estimate the age t at which average length is changing at a rate of 5 cm/yr.
Transcribed Image Text:
L(t) = 32(1 − (1 + 0.37t+ 0.068t² +0.0085t³ +0.0009¹)-¹) -
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a At age t 6 L6 1227 cmyr b The length will be changing at a ...View the full answer
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