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

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The total spent on research and development by the federal government in the United States during 2002-2012 can be approximated by
S(t) = 3.1 In(t) + 22 billion dollars (2 ≤ t ≤ 12),
where t is the year since 2000. What was the total spent in 2012 (t = 12)? (Round your answer to the nearest whole number.)
billion
How fast was it increasing? (Round your answer to three decimal places.)
billion per year
Transcribed Image Text:The total spent on research and development by the federal government in the United States during 2002-2012 can be approximated by S(t) = 3.1 In(t) + 22 billion dollars (2 ≤ t ≤ 12), where t is the year since 2000. What was the total spent in 2012 (t = 12)? (Round your answer to the nearest whole number.) billion How fast was it increasing? (Round your answer to three decimal places.) billion per year
Expert Solution
Step 1

Total spent on research

S(t)=3.1ln(t)+22 billion dollars

Total spent on in 2012 

  t= 12

 

 

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