MATHEMATICS · Numerical · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change
Problem
t (hours)
4
7
12
15
r(t) (liters/hour)
6.5
6.2
5.9
5.6
A tank contains 50 liters of oil at time t=4 hours. Oil is pumped into the tank at rate r(t), measured in liters per hour. Using a right Riemann sum with three subintervals and the table data, approximate the amount of oil in the tank at time t=15 hours.