Shown, again, in the following table is world population, in billions, for seven selected years from 1950 through 2010. Using a graphing utility's logistic regression option, we obtain the equation shown on the screen. We see from the calculator screen at the bottom of the previous page that a logistic growth model for world population, f(x), in billions, x years after 1949 is f ( x ) = 12.57 1 + 4.11 e − 0.026 x Use this function to solve Exercises 33-42. According to the model, what is the limiting size of the population that Earth will eventually sustain?
Shown, again, in the following table is world population, in billions, for seven selected years from 1950 through 2010. Using a graphing utility's logistic regression option, we obtain the equation shown on the screen. We see from the calculator screen at the bottom of the previous page that a logistic growth model for world population, f(x), in billions, x years after 1949 is f ( x ) = 12.57 1 + 4.11 e − 0.026 x Use this function to solve Exercises 33-42. According to the model, what is the limiting size of the population that Earth will eventually sustain?
Solution Summary: The author calculates the limiting size of the population that the earth will eventually sustain using the model function f(x)=12.571+4.11e-0.026x
Shown, again, in the following table is world population, in billions, for seven selected years from 1950 through 2010. Using a graphing utility's logistic regression option, we obtain the equation shown on the screen.
We see from the calculator screen at the bottom of the previous page that a logistic growth model for world population, f(x), in billions, x years after 1949 is
f
(
x
)
=
12.57
1
+
4.11
e
−
0.026
x
Use this function to solve Exercises 33-42.
According to the model, what is the limiting size of the population that Earth will eventually sustain?
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