Population Model with Emigration The rate of change of a population with emigration is given by P ' ( t ) = 7 300 e t / 25 − 1 80 e t / 16 , where P ( t ) is the population in millions, t years after the year 2000 . Estimate the change in population as t varies from 2000 to 2010 . Estimate the change in population as t varies from 2010 to 2040 . Compare and explain your answers in ( a ) and ( b ) .
Population Model with Emigration The rate of change of a population with emigration is given by P ' ( t ) = 7 300 e t / 25 − 1 80 e t / 16 , where P ( t ) is the population in millions, t years after the year 2000 . Estimate the change in population as t varies from 2000 to 2010 . Estimate the change in population as t varies from 2010 to 2040 . Compare and explain your answers in ( a ) and ( b ) .
Solution Summary: The author calculates the change in population as t varies from 2000 and 2010, where the rate of change of population is given by P'(t)=
Population Model with Emigration The rate of change of a population with emigration is given by
P
'
(
t
)
=
7
300
e
t
/
25
−
1
80
e
t
/
16
, where
P
(
t
)
is the population in millions,
t
years after the year
2000
.
Estimate the change in population as
t
varies from
2000
to
2010
.
Estimate the change in population as
t
varies from
2010
to
2040
. Compare and explain your answers in
(
a
)
and
(
b
)
.
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY