(a)
To calculate:The total fuel consumption during the hour.
(a)
Answer to Problem 51RE
The total fuel consumption is 2.42 gal
Explanation of Solution
Given information:
During a trip, a passenger recorded the fuel consumption every 5 minutes for a fun hour of travel.
Formula used:
Calculation:
In the trapezoidal rule, if [ a, b ] is partitioned into n subintervals of equal length
That is,
Where,
Now, apply the trapezoidal rule with
So,
Now, since
Now,
Conclusion:
The total fuel consumption is 2.42 gal
(b)
To calculate:The fuel efficiency based on the portion of the trip.
(b)
Answer to Problem 51RE
The fuel efficiency is approximately equal to 24.83 miles per gallon
Explanation of Solution
Given information:
During a trip, a passenger recorded the fuel consumption every 5 minutes for a fun hour of travel.
Formula used:
Calculation:
Fuel efficiency is given by
The fuel efficiency is approximately equal to 24.83 miles per gallon
Conclusion:
The fuel efficiency is approximately equal to 24.83 miles per gallon
Chapter 6 Solutions
Calculus: Graphical, Numerical, Algebraic
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