## Graphing From Polar Co-ords To Cartesian...

I have this function : r(theta) = sec[t(theta)] = sec * (theta - (Pi/2) * (2/Pi *(theta + Pi/4))).

Since this function is in terms of (theta,r(theta)) ... how would I graph this in terms of Cartesian Co-ordinates instead of Polar ?

## How to animate plot of moving points with lines dr...

Hi, I have animated plot visualizing the moving of point from location a to location b. I need line to be plotted in trace of moved point in area. Please see the code that I implement below. Many Thanks

restart:
with(plots):
with(Statistics):
L:=[[0],[34,7],[39,8,6], [45,2,3,7]]:
animate(( PointPlot, [L[trunc(t)]], t=1..3, frames=50), symbol=solidcircle,symbolsize=40);

## How to find area under an envelope of a function w...

Sorry for this simple question but I am new to Maple and need to do just this one thing...

Lets say I have a function fp(x) which draws out some envelope when I change p. I wanted to calculate this euqation by hand but this does not seem possible, since f is too complex. How can I use Maple to find the area under any Enevelope? Or maybe a bit simpler: How can I just find the envelope and save it to use it later?

I am sorry,since I don't know anything about Maple and I need that fast...

## How to find real and complex solution of an equati...

Hi,
I want to solve the following equation and, assuming x=x_r+Ix_i where x_r and x_i are real and imaginary part of x,  plot x_r and x_i versus y . How can I do in Maple?

x^6+x^4*(1.02-0.50e-2*y)+x^2*(-0.4950e-2*y+0.625e-5*y^2)+0.625e-5*y^2=0

Thanks

## convert(number,string) lost 0...

I have number 0.12

I use convert(0.12,string), result ".12" lost 0. Why?

## linestyle and frame...

Hi everyone
I am a learner using the maple program and I have a problem drawing multiple lines with different styles. I have tried the following:

restart; with(VectorCalculus); with(LinearAlgebra); with(DEtools);
F0 := 0; zeta := .25; w := 1; Omega := 1; m := 1;

ode1 := diff(x(t), t) = y(t); ode2 := diff(y(t), t) = F0*cos(Omega*t)/m-2*zeta*w*y(t)-w^2*x(t);

DEplot([ode1, ode2], [x(t), y(t)], t = 0 .. 10, x = -100 .. 100, y = -100 .. 100, [[x(0) = 0, y(0) = 50], [x(0) = 9, y(0) = 25], [x(0) = 85, y(0) = 20], [x(0) = .25, y(0) = .5], [x(0) = 7, y(0) = 5]], linestyle = [dash, dashdot, dot, longdash, spacedash], linecolor = [red, green, black, navy, maroon], thickness = 2, axes = normal, labels = [x(t), y(t)], arrows = medium, stepsize = 0.1e-1);

I would like to obtain in the graph that each trajectory has a different type of line.

On the other hand I wonder: Is it possible to use the options boxed and normal at the same time?

Greetings and thank you all

## Can anyone find better binomial/factorial/GAMMA si...

maxcharheight.mw

The above worksheet contains some computations I needed for a paper I am writing for the next issue of Maple Transactions.  The computations are within reach of hand computation (which is why I know the right answers).  I wanted Maple to be able to do them, however.

I couldn't make Maple do anything but verify that I was right (this is useful, I will admit).  But can anyone find any artful ways to simplify or solve any of those steps?  I suspect that this is quite hard in general, but with these things involving phi = (1+sqrt(5))/2 it's likely that others would find some "art" useful.  By the way, phi is not built-in to Maple, as far as I know.  Any more votes for including it?

There is an undocumented feature reported here that is useful: asympt works with "leadterm" and this turns out to be necessary.  I forget how I found out that leadterm works with asympt.  It's not in ?asympt, though I think that it should be.

-r

## How can Maple display an accurate uniform tiling o...

This worksheet creates geodesics in the Poincare disk by transformation of a series of circles of diminishing radii in the complex plane.

The intersections of the geodesics are meant to create the first few pentagonal uniform tilings in the Poincare disk.

I do not know the mathematically correct way to create such a display, so the radii of the circles are only a trial and error approximation.

What Maple code will provide the radii of the complex circles which produce an accurate uniform pentagonal tiling?

Is there a better overall strategy for producing uniform tilings of the Poincare disk?

HyperbolicTiling.mw

Hi

I have been trying to create a hyperlink to a bookmark in a maple document. I left the Target field blank, and entered the

book mark in the book mark field. But I keep getting the error: " target cannot be blanK" Can anyone help ?

Rivan

## How do I even start this question ? ...

For this assignment ... I have to basically find the right 'road' and 'wheel' and then animate my findings.

Problem is I am having a hard time understanding my professor's derivations of equations to find these roads and wheels.

Here is the PDF for the assignment : square_wheel.pdf

All help is appreciated.

Thanks.

## PDE General Solution...

When I use Solve for a PDE with the option singsol=all, is Maple guaranteeing that I am getting all the solutions, and in partidcular , is it returning the *general* solution(s)?

## Maple plot of a geometric place...

I have the following equations which I want to plot the curves of them by maple's:

1. |x+2|+|y|=3

2. |y|-|x|=2.

How to implement this task in maple?

thanks!

## How to insert captions in the Tabulate command...

Hi

How to insert captions fig.1,fig.2,fig.3,fig.4 in the Tabulate command ( variable G) without taking into account the random order of the graphs

Thanks

TEST_-_Copie.mw