Exercises for Introduction to Maple

The following exercises are to be written-up and handed in on your own paper. Electronic submission of lab write-ups will be phased in during the semester. There are more students than computers in most courses, and you are encouraged to work in teams. Team members may submit joint lab reports, but everyone should participate!

BE SURE TO WRITE YOUR NAME(S) AND YOUR INSTRUCTOR'S NAME AND YOUR LAB DAY AND TIME ON THE LAB REPORT .

1. Open a new Maple worksheet.

2. Define a new function that maps to . Name your function . Write the command you use on your lab report.

3. Use the Maple "plot" command to plot the graph of on the closed interval [-2,0.5]. Sketch the resulting graph on your lab report. How many local maxima and minima does the appear to have on the interval?

4. Use Maple to compute the derivative of . Write down the command you use.

5. As in the example, use Maple to find the maximum and minimum values of on the interval [-2,0.5].

6. Use Maple's on-line help to learn how to use the "evalf" command to evaluate expressions to specfic numbers of significant figures. Evaluate pi to 20 significant figures. (And write it down.) Compute the maximum and minimum values of on the interval to twenty significant figures and write them in your lab report.