City Planning a major developer is building a 5000-acre complex of homes, offices, stores, schools, and churches in the rural community of Marlboro. As a result of this development, the planners have estimated that Marlboro’s population (in thousands) t years from now will be given by P ( t ) = 25 t 2 + 125 t + 200 t 2 + 5 t + 40 a. Plot the graph of P in the viewing window [0, 50] × [0, 30]. b. What will be the population of Marlboro in the long run? Hint: Find lim t → ∞ P ( t ) .
City Planning a major developer is building a 5000-acre complex of homes, offices, stores, schools, and churches in the rural community of Marlboro. As a result of this development, the planners have estimated that Marlboro’s population (in thousands) t years from now will be given by P ( t ) = 25 t 2 + 125 t + 200 t 2 + 5 t + 40 a. Plot the graph of P in the viewing window [0, 50] × [0, 30]. b. What will be the population of Marlboro in the long run? Hint: Find lim t → ∞ P ( t ) .
Solution Summary: The author explains how to sketch the graph of the given function using an online graphing calculator.
City Planning a major developer is building a 5000-acre complex of homes, offices, stores, schools, and churches in the rural community of Marlboro. As a result of this development, the planners have estimated that Marlboro’s population (in thousands) t years from now will be given by
P
(
t
)
=
25
t
2
+
125
t
+
200
t
2
+
5
t
+
40
a. Plot the graph of P in the viewing window [0, 50] × [0, 30].
b. What will be the population of Marlboro in the long run?
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