RIEMANN SUM CALC BC NEED HELP ASAP PLS!

Question

Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table below. The total amount of water that leaked out is evaluated by a Riemann sum. Find the upper estimate (left end-points of each rectangle) for the total amount of water that leaked out by using five rectangles.

Give your answer with one decimal place. (10 points)

t (hr)0246810
r(t) (gal/hr)	12.0	10.6	8.8	8.0	6.0	4.8

Answer 1

This approximation uses the first 5 rates, each multiplied by 2 hrs to get the volume in that period. The last rate in the table is on the right-hand side of the final interval and therefor is not used.

The calculation is (2 hrs)•(12.0 gal/hr + 10.6 gal/hr + 8.8 gal/hr + 8.0 gal/hr + 6.0 gal/hr) = 90.8 gal