The developing economies share of the global gross domestic product (GDP) from 2003 and projected to 2017 is shown in the foliowing table. Share Share Vear (% of GDP) Year (% of GDP) 2003 20 2011 35 2004 22 2012 38 2005 23 2013 39 2006 27 2014 40 2007 28 2015 41 2008 31 2016 42 2009 31 2017 43 2010 33 (a) Find the quadratic function that best models the developing economes share of the global GDP as a funiction of the nunber of years after 2000. (Round all numerical valuns to four decimal places) (b) Use technology to find the maximum share of GDP that the developing economies can acheve, accanding to this model. (Rd your answer to one decimal place.)