Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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- Physician Demand The demand for physicians is expected to
increase in the future, as shown in the table. Source: Associa-
tion of American Medical Colleges.
Demand for Physicians
(in thousands)
Year
2006
680.5
2015
758.6
2020
805.8
2025
859.3
(a) Plot the data, letting t = 0 correspond to 2000. Does fit-
ting an exponential curve to the data seem reasonable?
(b) Use the data for 2006 and 2015 to find a function of the
form f(1) = Ce" that goes through these two points.
(c) Use your function from part (b) to predict the demand for
physicians in 2020 and 2025. How well do these predic-
tions fit the data?
(d) If you have a graphing calculator or computer program
with an exponential regression feature, use it to find an
exponential function that approximately fits the data. How
does this answer compare with the answer to part (b)?
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Transcribed Image Text:- Physician Demand The demand for physicians is expected to increase in the future, as shown in the table. Source: Associa- tion of American Medical Colleges. Demand for Physicians (in thousands) Year 2006 680.5 2015 758.6 2020 805.8 2025 859.3 (a) Plot the data, letting t = 0 correspond to 2000. Does fit- ting an exponential curve to the data seem reasonable? (b) Use the data for 2006 and 2015 to find a function of the form f(1) = Ce" that goes through these two points. (c) Use your function from part (b) to predict the demand for physicians in 2020 and 2025. How well do these predic- tions fit the data? (d) If you have a graphing calculator or computer program with an exponential regression feature, use it to find an exponential function that approximately fits the data. How does this answer compare with the answer to part (b)?
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