By Richard H. Enns
* Contains computer algebra worksheets or "recipes" designed utilizing MAPLE (System 10); no past wisdom of MAPLE is assumed
* powerful computational technology textual content for first- and second-year undergraduates in arithmetic, physics, engineering, chemistry, economics, biology, and pre-medicine
* Examples and problems provide foundation for both self-study and on-line course
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Additional resources for Computer Algebra Recipes: An Introductory Guide to the Mathematical Models of Science
To understand this, note that burning takes place only at the surface, so the rate of combustion is limited by the surface area S with which oxygen, necessary for burning, must make contact. The burning rate must be proportional to 5, which in turn is proportional to L^, where L is the diameter. , to the volume V (X L^. Combining these two aspects, the rate then should be proportional to S/V oc L'^/L^ — 1/L. Thus, according to this scahng argument, since the time to burn is inversely proportional to the rate of combustion, the log should burn about 10 times slower than the kindling, which in turn will burn about 10 times slower than the fuse.
G~ . These trailing tildes can be removed from all worksheets by clicking on File, then Preferences, I/O Display, No Annotation, and Apply Globally. This has been done here. 26 CHAPTER 1. 5: Left: data points and formula. 5. The theoretically derived formula fits the experimental data extremely well. To see how the velocity of the falling bird approaches the terminal velocity, Vectoria analytically differentiates the solution y with respect to t, > vel:=diff(y,t); , . 800000000 — / , . 442647059^) and forms a plot (coloring the curve black) of vel for t from 0 to 3 seconds.
5. 8 m/s was reached at about 2 s. 0 m/s? From the plot, the answer must clearly lie between 1/2 and 1 s. However, she can produce a more accurate result by first clicking the mouse on the computer plot. This action results in the lowest context bar at the top of the screen being replaced with a new bar displaying a small window on the far left. 97) of the arrow tip, displayed inside the window. 64 s. 0 for the time, the result being labeled t5. 1. 65 seconds. 00 meters. 5, the theoretical value at this time must be very close to the experimental result.