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The growth in the number (in millions) of Intemet users in a certain country between 1990 and 2015 can be approximated by a logistic function
The growth in the number (in millions) of Intemet users in a certain country between 1990 and 2015 can be approximated by a logistic function with k = 0.0013, where t is the number of years since 1990. In 1990 (when t= 0), the number of users was about 4 million. and the number is expected to level out around 230 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) 2001 (d) 2009 (e) What happens to the rate of growth overtime? (a) G0) = (Type an exact answer in terms of e.) (b) The number of Internet users in the country in 1995 is million. (Type an integer or decimal rounded to one decimal place as needed.) Find G'(t). Round any coefcients that are not part of exponents to the nearest integer. G'(t) = (Type an exact answer in terms of e.) In 1995, the rate of growth of Internet users in the country is million per year. (Type an integer or decimal rounded to one decimal place as needed.) (c) The number of Internet users in the country in 2001 is about million. (Type an integer or decimal rounded to one decimal place as needed.) In 2001, the rate of growth of Internet users in the country is million per year. (Type an integer or decimal rounded to one decimal place as needed.) The growth in the number (in millions) of Internet users in a certain country between 1990 and 2015 can be approximated by a logistic function with k = 0.0013, where t is the number of years since 1990. In 1990 (when t= 0), the number of users was about 4 million, and the number is expected to level out around 230 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) 2001 (d) 2009 (e) What happens to the rate of growth over time? \\ \"We a... "\"636. u. gee-ma. "1'4\"ch w um: ace-mu. y-aw a.) Ilccucu-I In 2001, the rate of growth of Internet users in the country is million per year. (Type an integer or decimal rounded to one decimal place as needed.) (d) The number of lntemet users in the country in 2009 is million. (Type an integer or decimal rounded to one decimal place as needed.) In 2009, the rate of growth of Internet users in the country is million per year. (Type an integer or decimal rounded to one decimal place as needed.) (0) Choose the correct answer below. 0 A. The rate of growth of the number of lntemet users in the country decreases for a while and then increases. 0 B. The rate of growth of the number of lntemet users in the country increases for a while and then decreases. O c. The rate of growth of the number of lntemet users in the country increases. O D. The rate of growth of the number of lntemet users in the country decreases
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