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Parametric Curves and Surfaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Han, Junghyun |
| Copyright Year | 2018 |
| Abstract | Maple can be of great help plotting and visualizing parametric curves and surfaces. Consider a parametric curve in the three-dimensional space given by x = x(t) , y = y(t), z = z(t), where the parameter t is changing in some interval [a,b]. The proper command for plotting parametric curves is spacecurve that we used before. The command is contained in the plots package. Let's load the package and look at an example. > with(plots): Example 1. Consider an object moving in the xyz-space according to the equations x = t cos(t) , y = t sin(t) , z = t , where x, y, z are measured in feet, t in minutes. (a) Plot the object's path for t between 0 and 20. (b) Find the distance traveled by the object during that time. Let's define the coordinates x, y, z as expressions in terms of t and then plot the path. > x:=t*cos(t); y:=t*sin(t); z:=t; x := t cos(t) y := t sin(t) z := t Observe that the coordinates x, y, z under the spacecurve command (or formulas for those coordinates) are entered as a list, between square brackets. |
| Starting Page | 271 |
| Ending Page | 293 |
| Page Count | 23 |
| File Format | PDF HTM / HTML |
| DOI | 10.1201/9780429443145-17 |
| Alternate Webpage(s) | http://www.math.uri.edu/~dobrush/mth243/maple/parsur.pdf |
| Alternate Webpage(s) | https://doi.org/10.1201/9780429443145-17 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
