The developing economies' share of the global gross domestic product (GDP) from 2003 to 2017 is shown in the following table. Share Year (% of GDP) 2003 20 2004 22 2005 23 2006 27 28 31 31 33 2007 2008 Share Year (% of GDP) 2011 35 2012 38 2013 39 2014 40 2015 41 42 2016 2017 43 2009 2010 (a) Find the quadratic function that best models the developing economies' share of the global GDP as a function of the number of years after 2000. (Round all numerical values to four decimal places.) y(x) = (b) Use technology to find the maximum share of GDP that the developing economies can achieve, according to this model. (Round your answer to one decimal place.) The model predicts that in the year ---Select---✓, developing economies reach their maximum share, %, of the GDP.
The developing economies' share of the global gross domestic product (GDP) from 2003 to 2017 is shown in the following table. Share Year (% of GDP) 2003 20 2004 22 2005 23 2006 27 28 31 31 33 2007 2008 Share Year (% of GDP) 2011 35 2012 38 2013 39 2014 40 2015 41 42 2016 2017 43 2009 2010 (a) Find the quadratic function that best models the developing economies' share of the global GDP as a function of the number of years after 2000. (Round all numerical values to four decimal places.) y(x) = (b) Use technology to find the maximum share of GDP that the developing economies can achieve, according to this model. (Round your answer to one decimal place.) The model predicts that in the year ---Select---✓, developing economies reach their maximum share, %, of the GDP.
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 developing economies' share of the global gross domestic product (GDP) from 2003 to 2017 is shown in the following table.
Share
Year (% of GDP)
20
22
23
27
28
31
31
33
2003
2004
2005
2006
2007
2008
2009
2010
Share
Year (% of GDP)
2011
2012
2013
2014
2015
2016
2017
35
38
39
40
41
42
43
(a) Find the quadratic function that best models the developing economies' share of the global GDP as a function of the number of years after 2000. (Round all numerical values to four decimal places.)
y(x) =
(b) Use technology to find the maximum share of GDP that the developing economies can achieve, according to this model. (Round your answer to one decimal place.)
The model predicts that in the year ---Select--- ✓
--Select--- ✓, developing economies reach their maximum share,
%, of the GDP.
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