The total spent on research and development by the federal government in the United States du S(t) = 3.1 In(t) + 22 billion dollars (2 sts 12), where t is the year since 2000.t What was the total spent in 2003 (t = 3)? (Round your answer |billion How fast was it increasing? (Round your answer to three decimal places.) billion per year

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A: This question is based on integral by parts.

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A: We will find the antiderivative or integration. 

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A: Answer A: f(x) = x3+ 4.5x2-12 x- 2  f'(x) = 3x2 + 9 x -12  f"(x) = 6 x + 9f"(x) = 0 = 6x + 9x =-32Co...

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