Mathematics

Mathematics

Problem

tt (hours)471215
R(t)R(t)<br>(liters/hour)6.56.25.95.6
A tank contains 50 liters of oil at time t=4t = 4 hours. Oil is being pumped into the tank at a rate R(t)R(t) , where R(t)R(t) is measured in liters per hour, and tt is measured in hours. Selected values of R(t)R(t) are given in the table above. Using a right Riemann sum with three subintervals and data from the table, what is the approximation of the number of liters of oil that are in the tank at time t=15t = 15 hours?

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