Show how to approximate the required work by a Riemann sum. Then express the work as an integral and evaluate it. An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of the water out of the aquarium. (Use the fact that the density of water is 1000 kgym3 .)

Econ 202 ~ Chapter 6 ~ Measuring the Cost of Living How the CPI is calculated The consumer price index shows the “cost” of a basket of goods and services “relative to the cost” of the same basket in the base year. The index is used to measure the “overall level of prices” in the economy. The percentage change in the consumer price index measures the inflation rate. CPI measures the overall cost of the goods and services purchased by a typical household. The CPI measures the typical cost of living, inflation and the inflation rate. Inflation rate ~ is the percentage of change in the “current” CPI from a previous CPI CPI = Price of basket of G&S in current year / Price of basket in base year X 100 Inflation rate = CPI (t) – CPI (t-1) / CPI (t-1) X 100