Using production and geological data, the management of an oil company estimates that oil will be pumped from a producing field at a rate given by the following. 70 R(t) = +7; 0≤t≤ 15 t+7 R(t) is the rate of production (in thousands of barrels per year) t years after pumping begins. Find the area between the graph of R and the t-axis over the interval [6,11] and interpret the results. The area is approximately square units. (Round to the nearest integer as needed.) Choose the correct interpretation of the results below. OA. It will take approximately 59 years after pumping begins to reach a thousand barrels. B. Total production from the end of the sixth year to the end of the eleventh year will be approximately 58 thousand barrels. OC. It will take approximately 58 years after pumping begins to reach a thousand barrels. O D. Total production from the end of the first year to the end of the fifteenth year will be approximately 58 thousand barrels.

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Author:Erwin Kreyszig
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Using production and geological data, the management of an oil company estimates that oil
will be pumped from a producing field at a rate given by the following.
R(t) =
=
70
t + 7
+7; 0≤t≤ 15
R(t) is the rate of production (in thousands of barrels per year) t years after pumping begins.
Find the area between the graph of R and the t-axis over the interval [6,11] and interpret the
results.
The area is approximately square units. (Round to the nearest integer as needed.)
Choose the correct interpretation of the results below.
O A. It will take approximately 59 years after pumping begins to reach a thousand
barrels.
B. Total production from the end of the sixth year to the end of the eleventh year will
be approximately 58 thousand barrels.
C. It will take approximately 58 years after pumping begins to reach a thousand
barrels.
D. Total production from the end of the first year to the end of the fifteenth year will be
approximately 58 thousand barrels.
Transcribed Image Text:Using production and geological data, the management of an oil company estimates that oil will be pumped from a producing field at a rate given by the following. R(t) = = 70 t + 7 +7; 0≤t≤ 15 R(t) is the rate of production (in thousands of barrels per year) t years after pumping begins. Find the area between the graph of R and the t-axis over the interval [6,11] and interpret the results. The area is approximately square units. (Round to the nearest integer as needed.) Choose the correct interpretation of the results below. O A. It will take approximately 59 years after pumping begins to reach a thousand barrels. B. Total production from the end of the sixth year to the end of the eleventh year will be approximately 58 thousand barrels. C. It will take approximately 58 years after pumping begins to reach a thousand barrels. D. Total production from the end of the first year to the end of the fifteenth year will be approximately 58 thousand barrels.
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