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-0.0017, where t is the number of years since 1990. In 1990 (when 10), the number of users was about 3 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. (d) 2000 (b) 1995 (c) 1999 (e) What happens to the rate of growth over time? (a) G(1) 1+ 230 00170308 (Type an exact answer in terms of e.) (b) The number of Internet users in the country in 1995 was 100 million. (Type an integer or decimal rounded to one decimal place as needed.) Find G'0) Round any coefficients that are not part of exponents to the nearest integer 0/01- (Type an exact answer in terms of e)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 with k-0.0017, where t is the number of years since
1990. In 1990 (when 1-0), the number of users was about 3 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.
(d) 2000
(b) 1995
(c) 1999
(e) What happens to the rate of growth over time?
(a) G(1)
1+
230
00170308
(Type an exact answer in terms of e.)
(b) The number of Internet users in the country in 1995 was 100 million.
(Type an integer or decimal rounded to one decimal place as needed.)
Find G'0) Round any coefficients that are not part of exponents to the nearest integer
0/01-
(Type an exact answer in terms of e)
Transcribed Image Text: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-0.0017, where t is the number of years since 1990. In 1990 (when 1-0), the number of users was about 3 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. (d) 2000 (b) 1995 (c) 1999 (e) What happens to the rate of growth over time? (a) G(1) 1+ 230 00170308 (Type an exact answer in terms of e.) (b) The number of Internet users in the country in 1995 was 100 million. (Type an integer or decimal rounded to one decimal place as needed.) Find G'0) Round any coefficients that are not part of exponents to the nearest integer 0/01- (Type an exact answer in terms of e)
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