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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