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The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019 can be approximated by a logistic function

The growth in the number (in millions) of Internet users in a certain country between 1990 and 2019 can be approximated by a logistic function with

k=0.0014,

where t is the number of years since 1990. In 1990 (when

t=0),

the number of users was about

3

million, and the number is expected to level out around

240

million.

(a) Find the growth function G(t) for the number of Internet users in the country.

Estimate the number of Internet users in the country and the rate of growth for the following years.

(b) 1995

(c) 2000

(d) 2010

(e) What happens to the rate of growth over time?

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