The unemployment rate U(t) varies with time. The table gives the percentage of unemployed in the US

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The unemployment rate U(t) varies with time. The table gives the percentage of unemployed in the US labor force from 2003 to 2012.

(a) What is the meaning of U′(t)? What are its units?

(b) Construct a table of estimated values for U′(st).

U(t) U(t) t t 2003 6.0 2008 5.8 2004 5.5 2009 9.3 2005 5.1 2010 9.6 2006 4.6 2011 8.9 2012 2007 4.6 8.1

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