The unemployment rate U(t) varies with time. The table gives the percentage of unemployed in a certain country's labor force from 1999 to 2008. tU(t) 1999 4.2 2004 5.3 2000 4.0 2001 4.7 2002 5.9 2003 6.4 t U(t) 2005 5.1 2006 4.5 2007 4.5 2008 5.9 (a) What is the meaning of U'(t)? O The derivative U'(t) is the percentage of people who are unemployed at a given time. O The derivative U(t) is the number of people who are unemployed at a given time. O The derivative U(t) is the rate at which the unemployment rate is changing with respect to time. O The derivative U'(t) is the rate at which people are being fired with respect to time. What are its units? O percent unemployed people per year O people O percent unemployed per year (b) Construct a table of values for U'(t). (Use h = 1 for 1999 and h = -1 for 2008. For all other years, use h = -1 and h = 1.) U'(t) 1999 -0.2 U'(t) 2004 2000 2005 2001 2006 2002 2007 2003 2008

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