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.
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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2d79032-32db-4435-bc8c-34ca2691b1b6%2F5549dbef-1bae-4393-8941-2312e5ba62fb%2F0y6qox6_processed.png&w=3840&q=75)
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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