By Moretti C.

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**Additional resources for A brief introduction to Mathematica**

**Example text**

For an example, enter the command Plot3D[f,{x,-6,6},{y,-6,6},PlotPoints->40,Boxed->False]. The axes: Axes are drawn in the edges of the bounding box so they are not hidden behind the surface. There are two options which deal with the axes themselves. If you wish to remove the axes (that is, not have the axes distinguished from the other edges of the bounding box), use the option Axes->False. Unless you combine this with the Boxed->False option, the lines will still 43 be drawn without tick marks.

The following graphic is two shots of the top half of the unit circle - on the left using the default value of AspectRatio, on the right with AspectRatio->Automatic. Removing Axes: If you do not want axes in your graph (if they obscure an important part of the graph, perhaps), you can remove them with the Axes option by setting Axes->None. Tick Marks on Axes: The tick marks on the axes are controlled by the option Ticks. Setting Ticks->None will remove all tick marks on the axes. If list1 is a list of what x-ticks you want and list2 is a list of the y-ticks you want, setting Ticks->{list1,list2} will force Mathematica to use these tick marks and no others.

Use AspectRatio->Automatic and label both axes. 6) Create a plot of the parametric curve defined by x=t cos(t), y=t sin(t) as t goes from 0 to 10. Use AspectRatio->Automatic, and have Mathematica sample the functions 50 times to create the plot. 7) Create a plot of the curve defined by x=sin(2t), y=sin(t) as t goes from 0 to 20. 8) Create a graph of the ellipse x2 9 + y2 4 = 1 as x goes from -4 to 4. Preserve the shape of the graph. 9) Create an plot of the curve y 2 = x3 − 16x as x goes from -20 to 20.