A Population Model The population (in millions) of a state t years after 2010 is given by the graph of the exponential function y = P ( t ) with growth constant 0.025 in Fig. 6. [In parts (c) and (d) use the differential equation satisfied by P ( t ) .] Figure 6 a. What is the population in 2020 ? b. When is the population 10 million? c. How fast is the population growing in 2020 ? d. When is the population growing at the rate of 275 , 000 people per year?
A Population Model The population (in millions) of a state t years after 2010 is given by the graph of the exponential function y = P ( t ) with growth constant 0.025 in Fig. 6. [In parts (c) and (d) use the differential equation satisfied by P ( t ) .] Figure 6 a. What is the population in 2020 ? b. When is the population 10 million? c. How fast is the population growing in 2020 ? d. When is the population growing at the rate of 275 , 000 people per year?
Solution Summary: The author analyzes the graph of the exponential function y=P(t) with the growth constant.
A Population Model The population (in millions) of a state
t
years after
2010
is given by the graph of the exponential function
y
=
P
(
t
)
with growth constant
0.025
in Fig. 6. [In parts (c) and (d) use the differential equation satisfied by
P
(
t
)
.]
Figure
6
a. What is the population in
2020
?
b. When is the population
10
million?
c. How fast is the population growing in
2020
?
d. When is the population growing at the rate of
275
,
000
people per year?
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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