Calculus Page Archive: 2006
You can browse the selection of puzzles and problems below, or choose other options from the navigation bar to the right.
| 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 |
view solution |
Oct 31, 2006 | Testing 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.
view solution |
Sep 20, 2006 |
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