Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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The table shows annual offshore crude oil production by a company in Mexico for the years 2008–2014, where \( t = 0 \) represents 2008.

| Year \( t \) (year since 2008) | 0   | 1   | 2   | 3   | 4   | 5   | 6   |
|-------------------------------|-----|-----|-----|-----|-----|-----|-----|
| Offshore Crude Oil Production \( p \) (billion barrels) | 0.81 | 0.75 | 0.71 | 0.68 | 0.68 | 0.68 | 0.65 |

(a) Use the table to compute the left and right Riemann sums for \( p(t) \) over the interval [1, 6] using five subdivisions.

- Left Riemann sum: \_\_\_\_ billion barrels of offshore crude
- Right Riemann sum: \_\_\_\_ billion barrels of offshore crude

(b) What does the left Riemann sum in part (a) tell you about offshore crude oil production by the company?

A total of \_\_\_\_ billion barrels of offshore crude were produced in the period \([2009 \text{ to } 2013]\).
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Transcribed Image Text:The table shows annual offshore crude oil production by a company in Mexico for the years 2008–2014, where \( t = 0 \) represents 2008. | Year \( t \) (year since 2008) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | |-------------------------------|-----|-----|-----|-----|-----|-----|-----| | Offshore Crude Oil Production \( p \) (billion barrels) | 0.81 | 0.75 | 0.71 | 0.68 | 0.68 | 0.68 | 0.65 | (a) Use the table to compute the left and right Riemann sums for \( p(t) \) over the interval [1, 6] using five subdivisions. - Left Riemann sum: \_\_\_\_ billion barrels of offshore crude - Right Riemann sum: \_\_\_\_ billion barrels of offshore crude (b) What does the left Riemann sum in part (a) tell you about offshore crude oil production by the company? A total of \_\_\_\_ billion barrels of offshore crude were produced in the period \([2009 \text{ to } 2013]\).
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