In 1989, research scientists published a model for predicting the cumulative number of AIDS cases reported in the United States: a(t) = 155((t-1980)/10)3, (thousands) where t is the year. This paper was considered a "relief," since there was a fear the correct model would be of exponential type. Use the two data points predicted by the research model a(t) for the years 1985 and 1995 to construct a new exponential model b(t) for the number of cumulative AIDS cases. (Round values to three decimal places.) Discuss how the two models differ and explain the use of the word "relief."
In 1989, research scientists published a model for predicting the cumulative number of AIDS cases reported in the United States: a(t) = 155((t-1980)/10)3, (thousands) where t is the year. This paper was considered a "relief," since there was a fear the correct model would be of exponential type. Use the two data points predicted by the research model a(t) for the years 1985 and 1995 to construct a new exponential model b(t) for the number of cumulative AIDS cases. (Round values to three decimal places.) Discuss how the two models differ and explain the use of the word "relief."
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In 1989, research scientists published a model for predicting the cumulative number of AIDS cases reported in the United States:
a(t) = 155((t-1980)/10)3, (thousands)
where t is the year. This paper was considered a "relief," since there was a fear the correct model would be of exponential type. Use the two data points predicted by the research model a(t) for the years 1985 and 1995 to construct a new exponential model b(t) for the number of cumulative AIDS cases. (Round values to three decimal places.)
Discuss how the two models differ and explain the use of the word "relief."
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