The developing economies' share of the global gross domestic product (GDP) from 2003 to 2017 is shown in the following table. Share Share Year (% 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 2010 31 2017 43 33 (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 fo places.) y(x)= x Capitalization of variable(s) is important. Check that your upper and lower case match the question. (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)