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 did world population reach 7 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 did world population reach 7 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
Show that the Laplace equation in Cartesian coordinates:
J²u
J²u
+
= 0
მx2 Jy2
can be reduced to the following form in cylindrical polar coordinates:
湯(
ди
1 8²u
+
Or 7,2 მ)2
= 0.
Find integrating factor
Draw the vertical and horizontal asymptotes. Then plot the intercepts (if any), and plot at least one point on each side of each vertical asymptote.
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