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Given a figure in the plane bounded by the non-selfintersecting piecewise smooth curve. Each segment in the border defined by the list in the following format (variable names  in expressions can be arbitrary):

1) If this segment is given by an explicit equation, then  [f(x), x=x1..x2)]

2) If it is given in polar coordinates, then  [f(phi), phi=phi1..phi2, polar] , phi is polar angle

Consider two sets in the Euclidean plane, each consisting of 4 points.

First set:  A(0, 0),  B(3, 4),  C(12, 4),  E(4, -1)

Second set:  F(0, -8),  G(12, -4),  H(9, -8),  K(4, -9)

It is easy to check that the set of all pairwise distances between the points of each of the given sets (6 numbers for each set ) are the same. At the same time it is obvious that there is no any...

Hello,

I am brand new, just joined in order to thank a member (gmm) for a publicly searchable MaplePrimes post I discovered in researching the origin of french curves. I linked to gmm's post in a blog post I wrote about the application of conic sections in the drafting of sewing patterns. I tried to send gmm an email...

Here is , seemingly simple task:
In the Euclidean plane are given two sets, each with 4 points. It is known that all possible pairwise distances between the points of the first set coincide with all possible pairwise distances between the points of the second set, ie we obtain two sets of numbers, in each of which six numbers. Of course, the numbers in each numeric set can be repeated (such sets are called multisets).  Can we say that there is an isometry of...

I want to write the equation of the plane passing through the three points A, B, C has the form ax + by + cz + d = 0 where a, b, c, d are integer numbers, a >0 if a <> 0; b>0 if a = 0 and b<>0,...and igcd(a, b, c) = 1.

If the coordinates of the vertices A, B, C are all integers, for example A(2,2,2), B(1,2, -1), C(1,-1,-4), I tried,

with(geom3d):

point(A,2,2,2):

point(B,1,2, -1):

1. a)given ∫(0..4)∫(√x..2) of sin(pi)*y^3 dydx, graph the region, R, in the xy plane.

b)Write double integral which reverses the order of integration and then evaluate.

2. Find centroid of cardioid of region enclosed by cardioid r=1-sin(theta)

3. a)Graph wedge cut from cylinder x^2+y^2=9, and by planes, z=-y, and z=0, and above the xy plane.

b)Write the integral which finds the volume of the wedge and evaluate it.

I want to graph the portion of the plane 2x + 3y + z = 6 that are located in the first octant of a xyz coordinate system. The following implicitplot3d should in principle do it:

For L a given L-function (such as the Ramanujan-tau Dirichlet series) I would like to compute L(s) at 2.5*10^5 values of s equidistributed in a square region of the complex plane in a reasonably short time (meaning, say, less than an hour.) Is there a Maple function that will do this, either in the original software or available on the web?

So basically I'm trying to slice a tesseract, with a 3D surface but first want to be able to slice a cube, with a 2D plane. so I have a 3D plot of a polygon of a face (of a cube) and I want to find the intersection of that with a plane. intersectplot doesn't seem to be working for me, and I'm unsure of how to represent a finite face of a cube as a plane