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A storage tank receives inflow at a rate (in L/min) measured every minute over a 6-minute period. The data are shown below, where t is minutes after the start and R(t) is the inflow rate at that time.
Use the trapezoidal rule with an interval width of 1 to estimate the total volume of water that flowed into the tank over the 6 minutes.
A high-precision meter later shows the true total was 112.5 L.
Calculate the percentage error of your estimate from part (a).
A storage tank receives inflow at a rate (in L/min) measured every minute over a 6-minute period. The data are shown below, where t is minutes after the start and R(t) is the inflow rate at that time.
Use the trapezoidal rule with an interval width of 1 to estimate the total volume of water that flowed into the tank over the 6 minutes.
A high-precision meter later shows the true total was 112.5 L.
Calculate the percentage error of your estimate from part (a).