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# Estimate total oil consumption during this 25-year period.

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Homework Set 13: Problem 8 Section 5.1, Problem 12 Section 5.1

Section 5.1: Problem 8 pg. 239

8. The following table gives world oil consumption, in billions of barrels per year. Estimate total oil consumption during this 25-year period.

Year 1980 1985 1990 1995 2000 2005
Oil (bn barrels/year) 22.3 21.3 23.9 24.9 27.0 29.3

12. Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every 15 minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. Jeff's data follow:

Time since start (min) 0 15 30 45 60 75 90
Speed (mph) 12 11 10 10 8 7 0

A. Assuming that Roger's speed is never increasing, give upper and lower estimates for the distance Roger Ran during the first half hour.

B. Give upper and lower estimates for the distance Roger ran in total during the entire hour and a half.

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This solution determines upper and lower estimates for the distance Roger ran in total during the entire hour and a half.

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Homework Set 13: Problem 8 Section 5.1, Problem 12 Section 5.1

Section 5.1: Problem 8 pg. 239

8. The following table gives world oil consumption, in billions of barrels per year. Estimate total oil consumption during this 25-year period.

Year 1980 1985 1990 1995 2000 2005
Oil (bn barrels/year) 22.3 21.3 23.9 24.9 27.0 29.3

Estimating the total consumption using the left end-points, we obtain
Lower estimate = 5(22.3 + ...

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