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 38-42. When will world population reach 8 billion?
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 38-42. When will world population reach 8 billion?
Solution Summary: The author calculates the year in which the population will reach 8 billion 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
Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the
integral.
30x³-60x²+8
dx
2
x-2x
After performing the long division, write the resulting proper fraction as a sum of partial fractions.
Evaluate the integral.
30x³-60x²+8
2
x² -2x
dx=
Evaluate the following integral.
x/6
S
tan 2x dx
x/12
Evaluate the integral by using a substitution prior to integration by parts.
7) sin (In (6x)) dx
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