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(t) = 71.8 e-8,966¬0,0685t 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. Does this estimate differ significantly from the estimate in a? t00

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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(t) = 71.8 e-8,966–0,0685t
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. Does this estimate differ
significantly from the estimate in a?
t-00
Transcribed Image Text: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(t) = 71.8 e-8,966–0,0685t 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. Does this estimate differ significantly from the estimate in a? t-00
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