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Oil leaked from a tank at a rate of r(t) liters per hour. Values of the...

Oil leaked from a tank at a rate of r(t) liters per hour. Values of the rate at 2-hour intervals are given in the table below.

time (hours)r(t) (liters per hour)

0 2 4 6 8 10 12
8.7 7.6 6.8 6.2 5.7 5.3 5.0


(a) Use a Left Hand Sum with n=3 subdivisions to give an approximation on the total amount of oil lost over the time interval from t=0 to t=12 hours. Include units in your answer.

(b) Use the average of a Left Hand Sum and Right Hand Sum with n=6 subdivisions to give an approximation on the total amount of oil lost over the time interval from t=0 to t=12 hours. Include units in your answer.

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