Alligator Teeth Researchers have developed a mathematical model that can be used to estimate the number of teeth N(t) at time t (days of incubation) for Alligator mississippiensis, where N(1) = 71.8e.96%eNA Source: Journal of Theoretical Biology. (a) Find N(65), the number of teeth of an alligator that hatched after 65 days. (b) Find lim N(t) and use this value as an estimate of the number of teeth of a newborn alligator. (Hint: See Exer- cise 67.) Does this estimate differ significantly from the estimate of part (a)?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Alligator Teeth Researchers have developed a mathematical
model that can be used to estimate the number of teeth N(t)
at time t (days of incubation) for Alligator mississippiensis,
where
N(1) = 71.8e.96%eNA
Source: Journal of Theoretical Biology.
(a) Find N(65), the number of teeth of an alligator that hatched
after 65 days.
(b) Find lim N(t) and use this value as an estimate of the
number of teeth of a newborn alligator. (Hint: See Exer-
cise 67.) Does this estimate differ significantly from the
estimate of part (a)?
Transcribed Image Text:Alligator Teeth Researchers have developed a mathematical model that can be used to estimate the number of teeth N(t) at time t (days of incubation) for Alligator mississippiensis, where N(1) = 71.8e.96%eNA Source: Journal of Theoretical Biology. (a) Find N(65), the number of teeth of an alligator that hatched after 65 days. (b) Find lim N(t) and use this value as an estimate of the number of teeth of a newborn alligator. (Hint: See Exer- cise 67.) Does this estimate differ significantly from the estimate of part (a)?
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