Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table. t (h) 0 2 4 6 8 10 r(t) (L/h) 8.6 7.9 6.7 6.2 5.7 5.3 Find lower and upper estimates for the total amount of oil (in liters) that leaked from the tank over the interval [0, 10]. (Use five equal subintervals.)
Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table. t (h) 0 2 4 6 8 10 r(t) (L/h) 8.6 7.9 6.7 6.2 5.7 5.3 Find lower and upper estimates for the total amount of oil (in liters) that leaked from the tank over the interval [0, 10]. (Use five equal subintervals.)
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![Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table.
t (h)
0
2
468 8
10
r(t) (L/h) 8.6 7.9 6.7
6.2 5.7 5.3
Find lower and upper estimates for the total amount of oil (in liters) that leaked from the tank over the interval [0, 10]. (Use five equal subintervals.)
lower estimate
70.2
XL
upper estimate 66.6
X L
Enhanced Feedback
Please try again. To estimate the volume of oil leaked during an interval of time, find an estimate for the area under the rate-of-leak graph using rectangles. Since the rate is decreasing during the
interval, use right endpoints for an underestimate and left endpoints for an overestimate.
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Transcribed Image Text:Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table.
t (h)
0
2
468 8
10
r(t) (L/h) 8.6 7.9 6.7
6.2 5.7 5.3
Find lower and upper estimates for the total amount of oil (in liters) that leaked from the tank over the interval [0, 10]. (Use five equal subintervals.)
lower estimate
70.2
XL
upper estimate 66.6
X L
Enhanced Feedback
Please try again. To estimate the volume of oil leaked during an interval of time, find an estimate for the area under the rate-of-leak graph using rectangles. Since the rate is decreasing during the
interval, use right endpoints for an underestimate and left endpoints for an overestimate.
Need Help?
Read It
Watch It
Master It
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