Problem Solving Question 1 Linguistic change can be modeled by a special kind of exponential function. In a certain country, the use of the word google as a verb instead of as a brand name follows the function G(t - 1+ Ae * where G(t) is the percentage of the population (expressed as a decimal who use the word google as a verb and t is the number of years after 2000 (e.g, the year 2001 corresponds to t = 1). In 2000, 0.14% of the population use the word google in such a way. In 2010, this percentage rose to 63.4%. (a) Determine the values of A and k. (Round your answer for A to two decimal places and your answer for k to four decimal places.) (b) In what year can we expect 97% of people to use the word google as a verb?
Problem Solving Question 1 Linguistic change can be modeled by a special kind of exponential function. In a certain country, the use of the word google as a verb instead of as a brand name follows the function G(t - 1+ Ae * where G(t) is the percentage of the population (expressed as a decimal who use the word google as a verb and t is the number of years after 2000 (e.g, the year 2001 corresponds to t = 1). In 2000, 0.14% of the population use the word google in such a way. In 2010, this percentage rose to 63.4%. (a) Determine the values of A and k. (Round your answer for A to two decimal places and your answer for k to four decimal places.) (b) In what year can we expect 97% of people to use the word google as a verb?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:Problem Solving Question 1
of the word google as a verb instead of as a brand name follows the function
Linguistic change can be modeled by a special kind of exponential function. In a certain country, the use
1
G(t):
1+ Ae-kt
where G(t) is the percentage of the population (expressed as a decimal) who use the word google as a verb and t is the number of years after
2000 (e.g., the year 2001 corresponds to t = 1).
In 2000, 0.14% of the population use the word google in such a way. In 2010, this percentage rose to 63.4%.
(a) Determine the values of A and k. (Round your answer for A to two decimal places and your answer for k to four decimal places.)
(b) In what year can we expect 97% of people to use the word google as a verb?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
