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QUESTION 3 The total spent on research and development by the federal government in the United States during 2002-2012 can be approximated by S(t) = 3.1In(t) + 22 billion dollars (2 s t s 12), where t is the year since 2000. (a) What was the total spent in 2003 ( t = 3)? (Round your answer to the nearest whole number.) $ billion (b) How fast was it increasing? (Round your answer to three decimal places.) $ billion/year