Suppose that the speed v (in ft/s) of a skydiver t secondsafter leaping from a plane is

Chapter 1, Problem 65

(choose chapter or problem)

The population p of the United States (in millions) in year t can be modeled by the function

\(p(t)=\frac{525}{1+1.1 e^{-0.02225(t-1990)}}\)

(a) Based on this model, what was the U.S. population in 1990?

(b) Plot p versus t for the 200 -year period from 1950 to 2150 .

(c) By evaluating an appropriate limit, show that the graph of p versus t has a horizontal asymptote p = c for an appropriate constant c.

(d) What is the significance of the constant c in part (c) for the population predicted by this model?

Equation Transcription:

Text Transcription:

p(t) = 525/1+1.1e^-0.02225(t-1990)