Naturally, you could also use theta=0.2*Pi for full polar rotation. plot3d(cos(phi)/sin^2(phi),īut what you are looking for is the calling sequence where phi is the azimuthal angle, and so the calling sequence could be, plot3d(cos(phi)/sin(phi)^2, In both of these phi is taken as the polar angle, and theta as the azimuthal angle. These two produce a similar result (yours is the first, for which Maple fills in the second range for you). Maple is happy to provide the second for you, and it interprets the one you supplied as denoting the polar angle which comes first in this calling sequence. You only passed a single variable=range option to the plot3d command, and omitted the second.
It doesn't distinguish them by any special naming convention. Maple distinguishes between the polar angle variable and the azimuthal angle variable by relative position in the calling sequence of the plotting command. You can use any names you want for the polar angle and the azimuthal angle. nearestPoint(pi/3, 0) // index of the point nearest to direction t. It doesn't distinguish between, say phi and theta by name. NOTE: The coordinate system follows that of Spherical and Polar. You can set the angles to create an interval which you would like to see the surface. This applet includes two angle options for both angle types. Getting the limits of integration is often the difficult part of these problems. You have two angles in spherical coordinates and which is the positive angle starting from x axis, on xy plane and is the positive angle starting from z axis. We will also illustrate quite a few examples of setting up the limits of integration from the three dimensional region of integration. The plot3d command doesn't care what names you use for the plotting variables. In this section we will define the triple integral. You have overlooked the 2nd plotting variable. How come plotting the implicit equation differs from plotting the equation where I cancel one of the $\rho$ terms? Note that I obtain what looks like a correct result when I use the command implicitplot3d: implicitplot3d(rho*cos(phi) = rho^2*sin(phi)^2, rho = 0. Is there a mathematical mistake in my equation for a paraboloid, or is this a Maple-related issue? The Maple command I run is roughly plot3d(cos(phi)/sin^2(phi), phi=0.Pi/2, coords=spherical) When I try to plot this in Maple, I obtain a figure which does not correspond to a paraboloid. So here is what I believe the equation is in spherical coordinates Here is the equation of a paraboloid in rectangular coordinates
0 kommentar(er)
