The table gives the cumulative sales of IPods since their introduction. Cumulative iPod Sales Year 2003 2004 2005 - 2006 2007 2008 Sales (million iPods) 2.52 7.436 29.533 68.842 120.372 175.6 (a) Find the function for the quadratic model that gives sales in million iPods, where x is the number of years after 2003, with data from 0≤x≤ 5. (Round all numerical values to three decimal places.) s(x) = million iPods (b) Write the derivative for the sales model. (Round all numerical values to three decimal places) s'(x) million iPods per year. (c) Calculate the rate of change of cumulative sales in 2007. (Round your answer to three decimal places.) million iPods per year Interpret the rate of change of cumulative sales in 2007. (Round your answer to three decimal places.) In 2007, cumulative iPod sales were Select-by million per year.
The table gives the cumulative sales of IPods since their introduction. Cumulative iPod Sales Year 2003 2004 2005 - 2006 2007 2008 Sales (million iPods) 2.52 7.436 29.533 68.842 120.372 175.6 (a) Find the function for the quadratic model that gives sales in million iPods, where x is the number of years after 2003, with data from 0≤x≤ 5. (Round all numerical values to three decimal places.) s(x) = million iPods (b) Write the derivative for the sales model. (Round all numerical values to three decimal places) s'(x) million iPods per year. (c) Calculate the rate of change of cumulative sales in 2007. (Round your answer to three decimal places.) million iPods per year Interpret the rate of change of cumulative sales in 2007. (Round your answer to three decimal places.) In 2007, cumulative iPod sales were Select-by million per year.
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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Transcribed Image Text:The table gives the cumulative sales of IPods since their introduction.
Cumulative iPod Sales
Year
2003
2004
2005
- 2006
2007
2008
Sales
(million iPods)
2.52
7.436
29.533
68.842
120.372
175.6
(a) Find the function for the quadratic model that gives sales in million iPods, where x is the number of years after 2003, with data from
0≤x≤ 5. (Round all numerical values to three decimal places.)
s(x) =
million iPods
(b) Write the derivative for the sales model. (Round all numerical values to three decimal places)
s'(x)
million iPods per year.
(c) Calculate the rate of change of cumulative sales in 2007. (Round your answer to three decimal places.)
million iPods per year
Interpret the rate of change of cumulative sales in 2007. (Round your answer to three decimal places.)
In 2007, cumulative iPod sales were Select-by
million per year.
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