Use Winplot, Google Docs, and possibly Microsoft Excel/Google Spreadsheets to create a document with two problems on it.
Consider the function \(y = 0.1 x^3 - \cos(x^2) - 0.5x + 2\) on \([-2,3]\).
Use Winplot to create a graph of the curve on the interval. Include the graph in the document.
Use Winplot to complete this table.
| Method | 2 | 5 | 10 | 100 | 1000 |
|---|---|---|---|---|---|
| Left endpoint | |||||
| Midpoint | |||||
| Right endpoint | |||||
| Trapezoidal | |||||
| Parabolic | |||||
| Random |
The instructor has a school website that receives thousands of hits each day. The hits column represents the number of hits (in thousands of hits per day) for that day.
| Date | Nov 1 | Nov 5 | Nov 8 | Nov 17 | Nov 18 | Nov 21 | Nov 30 |
|---|---|---|---|---|---|---|---|
| Hits | 43.398 | 71.863 | 43.841 | 60.835 | 77.347 | 70.385 | 36.982 |
Use the information to estimate the number of hits during the month of November 2013 using the five approaches given in the table. You may want to use a spreadsheet to speed up the calculations, although the data points are limited enough that you could do it by hand.
| Method | Estimate | Relative Error |
|---|---|---|
| Left endpoints | ||
| Right endpoints | ||
| Trapezoids | ||
| Minimums | ||
| Maximums |
The total count for the month was 1714.325 thousand hits (1.714 million). The relative error is usually given as a percent. You take the estimate minus the actual value and then divide by the actual value. Finally, convert that into a percent.
Once you are done with the assignment, share it with the instructor. Only one person per group needs to submit the assignment, just make sure your names are all in the document itself.