0935 Wed Aug 31 oo-

09:35 Wed Aug 31 Math 112 25 15 Fall 2022 Riemann Sums Model Example: a Leaking Drum Suppose a large storage tank of oil has just sprung a leak, and that the rate at which oil has leaked from the drum has been recorded in hourly intervals in the table below. (Notice that as oil leaks, the rate at which it leaks decreases.) Time (hrs) Rate (pints/hr) 35 1 30 2 26 3 23 4 21 What is the maximum amount of oil to leak out during the first hour? How about the minimum amount to leak during the first hour? Max and min during the second hour? Third hour? Fourth hour? Putting this together, what are the max and min possible total amounts of oil that could have leaked from the drum? A graphical representation: Rate (pints/hr) 40 35 30 20 10 5 o 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Time (hrs) 1 2