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)=90t+9+9​; 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​,10​] and interpret the results.       Question content area bottom Part 1 The area is approximately enter your response here square units. ​(Round to the nearest integer as​ needed.)   Part 2 Choose the correct interpretation of the results below.     A. Total production from the end of the first year to the end of the fifteenth year will be approximately 57 thousand barrels.   B. Total production from the end of the sixth year to the end of the tenth year will be approximately 57 thousand barrels.   C. It will take approximately 57 years after pumping begins to reach a thousand barrels.   D. It will take approximately 58 years after pumping begins to reach a thousand barrels.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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)=90t+9+9​;
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​,10​]
and interpret the results.
 
 
 

Question content area bottom

Part 1
The area is approximately
enter your response here
square units. ​(Round to the nearest integer as​ needed.)
 
Part 2
Choose the correct interpretation of the results below.
 
 
A.
Total production from the end of the first year to the end of the fifteenth year will be approximately
57
thousand barrels.
 
B.
Total production from the end of the
sixth
year to the end of the
tenth
year will be approximately
57
thousand barrels.
 
C.
It will take approximately
57
years after pumping begins to reach a thousand barrels.
 
D.
It will take approximately
58
years after pumping begins to reach a thousand barrels.
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