## I've been dissed by MAPLE!

by: Maple
p >Hello. I'm still kind of new to the practice of using a computer program to manipulate equations. I knew that one way to define an ellipse is as the locus of points P such that for 2 fixed points F1 and F2 the sum PF1 + PF2 is constant. I also know that in Cartesian coordinates, we get a formula of the form Ax2 + By2 = 1. If we set up our coordinate system such that F1 and F2 are on the x axis each a distance c from the origin and the maximum width of the ellipse is 2a, let's try to figure out A and B using MAPLE.

> ## install maple 9 in ubuntu linux...

Hi Our university (Univ. Sao Paulo - Brazil) has license for maple 9 (not sure which release).. It can be also that the version they have is Maple 6 since there is a xmaple6 in the files (see bellow) I use in my machine Ubuntu linux, the newest version. Althoug it says it has linux support for maple, nobody was able to install it from the instructions provided from above to us, users. I will describe the situation: we get from the university a tar file containing the files root@edf:/etc/Maple/bin.IBM_INTEL_LINUX_REDHAT# ls -1 hostpatch ld-linux.so.2 libc.so.6 libdl.so.2 libICE.so.6

## Turning points problem??...

Hi I got an equation that I would like to find out its turning points.As you know you first have to differentiate it and then..... Here is my command on maple: y:=x->6x^2-7x-3*exp(-1/5*x); df:=diff(y(x),x); solve(%,x); and then I get 5 LambertW(-1/100 (e)^(((-7)/60)))+7/12 5 LambertW(-1,-1/100 (e)^(((-7)/60)))+7/12 as answers, I don't know if they are correct, but I do know that there must be a simpler answer than this! I was therefore wondering if you guys know how I can approach this problem differently! Thanks Chris

## plotting...

I wish to know if there is way to plot the following functions: x1=X1+X2*gamma(t) x2=X2 and x1=alpha*cons(theta)*X1-beta*sin(theta)*X2+gamma x2=alpha*sin(theta)*X1-beta*cos(theta)*X2+gamma where in the second one alpha, beta. and gamma are constants. many thanks, A.

## Qt GUI...

Hi, At my university i saw a presentation of maple. It was running under linux (kde), and obviously it had a (Trolltech) Qt GUI. I really would like to work under a Qt-GUI, too, but I have no idea how to do that. The only GUI I get to work is the normal Swing-GUI of the Java Version. Thanks a lot, David

## ODE Plotting Question...

I'm having problems plotting the derivative of a function after I've solved the ODE in an ODE system. Any help appreciated! The MAPLE help for plots,odeplot says: "Multiple curves can be plotted by specifying a nested list format. For example, [[x,y(x)],[x,diff(y(x),x)]] displays the dependent variable and its derivative as a function of x on the same plot." So, here's my problem. I define mtest with my two ODE's and two initial values, and solve it numerically over my specified range. This works great. mtest := [diff(m(t), t) = -43/25*exp(-8527.784461/(pt(t)+273.15)+19.03523317)*(m(t)-exp(-23300/(8.314*pt(t)+2270.96910)+2.646139043)), diff(pt(t), t) = 240, m(0) = 1, pt(0) = 105];

## Too much space between lines in MathMLViewer...

How do I change the spacing between lines in the MathMLViewer?

## Implicit or Spherical

by: Maple
The following equation cannot be plotted correctly in the usual 3 dimensional plot with Cartesian coordinates. eq := (x^2+y^2+z^2-1)^3 - x^2*z*3 - y^2*z^3 = 0; Either a 3 dimensional implicit plot, or a spherical coordinates plot is needed. What surprised me was how long Maple 10.06 took to produce the latter with very roughly the same amount of detail as the former: 454 s versus 0.7 s. It seems as though one should always prefer the implicit plot to the spherical plot if the 3 dimensional Cartesian plot fails. I would be grateful for any thoughts about this and any improvements to the code below. (Apologies for not posting the worksheet – I think that File Manager might object to its 10MB size!)

## Legendre polynomials...

Hello, I would like to do some computations with Legendre polynomials. I would like to know, if Maple is able to do some simplifications and use orthogonality of Legendre polynomials. For example > Int(LegendreP(m,x)*LegendreP(n, x), x=-1..1); This integral should be zero or 2/(2*n+1), depending on the relation between m and n. Is there any chance to get it (maybe using the procedure assume() )? another example: > diff(LegendreP(n,x), x\$n); This should be (2*n)! Thank you very much for your help. Karel Srot

## Solving parameter function...

I have defined a function in a parameter form x:= .... y:= .... and I have defined a circle in a parameter form X:= .... Y:= .... Now I want to calculate the intersectionpoints. I could use: solve(x=X,t) and solve (y=Y,t) but the teacher teached me that some points are going lost if you use to separate commando's. Now is the question what's the commando for combining these two solves. My concrete example: restart:x:=2*cos(t)+cos(2*t); x := 2 cos(t) + cos(2 t) > y:=2*sin(t)-sin(2*t); > y := 2 sin(t) - sin(2 t) Circle:

## Split or breakup of complex expressions or formula...

Hi, I have a system of 3 coupled equations (3 unknowns) with complex numbers. I solved them with solvefor. I'm interested in the modulus (|a+ib|^2 = a^2 + b^2 ) and phase of each solution. Because of that I used polar and abs (I have more interest in the modulus). In each case I ran simplify, despite of that the solutions are huge. I would like to work with them in some spreadsheet (in order to set the parameters, evaluate the solutions, compare them with some experimental data and do some plotting). Given that the solutions are huge I can just write them by hand where I want. In order to automatize that I've tried to use the VisualBasic command to cut&paste the formulas in VBA. The problem is that they are so long that the source code just gets broken.

## How do I simplify an equation?...

Hi I'm currently doing a maple assignment for my uni course, and was wondering how do you simplify this equation to get a simple quadratic! 6x^2-7x-3*exp(-1/5*x) as you can see its really a simple quadratic with an exponential stuck on to it! My question is can you simplify it with maple, 2.) Does the whole equation only have 1 root since its an exponential function stuck on! Thanks Chris