Plotting in other coordinate systems Worksheet by Mike May, S.J.- maymk@slu.edu Revised by Russell Blyth - blythrd@slu.edu restart; We look at how we can plot with Maple in other coordinate systems. The trick is that Maple has a coords option in its plot commands.

We start with the standard Cartesian coordinate system. Maple assumes that we write y as a function of x. We can also plot curves parametrically using [x(t), y(t), t=trange]. plot((x-1)^2-2, x=-1..3); plot([t, (t-1)^2-2,t=-1..3]);

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

To use polar coordinates, note that Maple expects r to be a function of theta. If we are plotting parametrically, then Maple expects the form [r(t), theta(t), t=trange]. plot(1+2*cos(theta), theta=0..2*Pi, coords=polar); plot([1+2*cos(t), t, t=0..2*Pi], coords=polar);

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

We can put plots in different coordinate systems together with the display command. Note that we end the commands of the named plots with a colon rather than a semicolon (otherwise we get an ugly list of the postscript commands that make up the plot structures). To use display we first need to load it using the with(plots) command. with(plots); plota:= plot((x-1)^2-2, x=-1..3, color=red): plotb:= plot(1+2*cos(theta), theta=0..2*Pi, coords=polar, color=blue): display({plota, plotb});

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

1. Plot the graph of a 5 petal rose of radius 2 with a petal cut by the positive x-axis. (You should remember the formula for this from pre-calculus.) 2. Plot the cardioid defined by r=1-sin(theta) on the same axes as the graph of y=1+sin(Pi*(x+0.5)) to create a picture of a heart with a hat.

We start with surfaces that are the plots of functions in two variables with Cartesian coordinates. In a parallel fashion, Maple assumes that we write z as a function of x and y. If we parameterize a surface, it is assumed to be in the form ([x(u,v), y(u, v), z(u, v)], u=urange, v=vrange). plot3d(sin(x^2+y^2), x=-3..3, y=-3..3, style=patch, axes=boxed); plot3d([u, v, sin(u^2+v^2)], u=-3..3, v=-3..3, style=patch, axes=boxed);

6'-%+AXESLABELSG6%Q"x6"Q"y6"Q!6"-%*AXESSTYLEG6#%$BOXG-%%GRIDG6%;$!"$""!$""$""!;$!"$""!$""$""!X,I)anythingG%*protectedG6"6"[gl'!%"!!#\bm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j!#9$"#6""!

6%-I%MESHG6$%*protectedGI(_syslibG6"6#X.I)anythingG%*protectedG6"6"[gl'!%"!!$^`r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protectedGI(_syslibG6"6#I&PATCHG6$%*protectedGI(_syslibG6"-I*AXESSTYLEG6$%*protectedGI(_syslibG6"6#I$BOXG6$%*protectedGI(_syslibG6"

In cylindrical coordinates Maple assumes that we express r as a function of theta and z. (By contrast, in class we typically express z as a function of r and theta.) This means that we have to use the parametric form if we want to graph the sombrero surface above. (The graph above has many r values corresponding to a single value of theta and z, so r is not a function of theta and z.) Interestingly, the parametric description in Maple arranges the variables in the more familiar (r, theta, z) pattern so the form is ([r(u,v), theta(u,v), z(u,v)], u=urange, v=vrange). plot3d([r, theta, sin(r^2)], r=0..4, theta=0..2*Pi, coords=cylindrical, style=patch, axes=boxed);

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