ne following table sIows annual olnshore crude oll productioni by a company in Mexico for representsS 2008.) Year t 1 2 3 4 6 (year since 2008) 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 to 2013 v

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 \([2009 \text{ to } 2013]\).
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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