Problems >
Mr. T's Calculus >
2006Testing the Limits
Find the following limit algebraically. In your solution, describe the process used. Do NOT simply plug the expression into a grapher to find the limit.
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What's the area?A certain lake has an irregular shape. In order to estimate the area, the North-South distance across the lake is measured every 100 feet down an East-West line. The results are shown in the table below. Use an appropriate technique to estimate the number of acres that the lake covers. Give a complete explanation of how you computed the area.
East-West position (ft) | Distance across lake (ft) |
0 | 900 |
100 | 1500 | 200 | 1800 | 300 | 2000 | 400 | 2500 | 500 | 2700 | 600 | 2700 | 700 | 2700 | 800 | 2700 | 900 | 2700 | 1000 | 2700 | 1100 | 2700 | 1200 | 2700 | 1300 | 2700 | 1400 | 2600 | 1500 | 2600 | 1600 | 2600 | 1700 | 2600 | 1800 | 2600 | 1900 | 2600 | 2000 | 2500 | 2100 | 2500 | 2200 | 2500 | 2300 | 2500 | 2400 | 2500 | 2500 | 2500 | 2600 | 2400 | 2700 | 2300 | 2800 | 2300 | 2900 | 1800 | 3000 | 1600 | 3100 | 1500 | 3200 | 1400 | 3300 | 1400 | 3400 | 1300 | 3500 | 1300 | 3600 | 1100 | 3700 | 800 | 3800 | 0 |
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