Suppose that the per capita growth rate of a population is 3%; that is, if N(t) denotes the population size at time t, then 1 dN = 0.03 N(t) dt Suppose also that the population size at time t = 4 is equal to 100. Use a linear approximation to compute the population size at time t = 4.1.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Suppose that the per capita growth rate of a population is 3%; that is, if N(t) denotes the population size at time t, then
1
dN
0.03
%3D
N(t) dt
Suppose also that the population size at time t = 4 is equal to 100. Use a linear approximation to compute the population size at
time t
4.1.
Transcribed Image Text:Suppose that the per capita growth rate of a population is 3%; that is, if N(t) denotes the population size at time t, then 1 dN 0.03 %3D N(t) dt Suppose also that the population size at time t = 4 is equal to 100. Use a linear approximation to compute the population size at time t 4.1.
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