## Help with Pre-Calculus (high school level)...

Hello: I was wondering if someone can help me locate worksheets for Pre-Calculus (high school level)? I'm a new Maple user and still trying to figure out how to use the software. Also, my teacher gives us problems that are not in the book, which makes it really difficult. Thank you! Jessica

## dsolve system of ODEs: specifying order of output...

I want to use dsolve (Maple 10) to iteratively solve two systems of ODEs adjusting the boundary conditions until the solutions match at a fitting point. My problem is that the output of dsolve is a set of functions, and, each time dsolve is called, the solutions might not be reported in the same order as the last time dsolve was called. This makes it difficult to write a routine that compares the results of each iteration. I would appreciate any advice on how to extract the solutions from the dsolve output.

## dsolve: using set output (system of ODEs)

by: Maple
I want to use dsolve (Maple 10) to iteratively solve two systems of ODEs adjusting the boundary conditions until the solutions match at a fitting point. My problem is that the output of dsolve is a set of functions, and, each time dsolve is called, the solutions might not be reported in the same order as the last time dsolve was called. This makes it difficult to write a routine that compares the results of each iteration. I would appreciate any advice on how to extract the solutions from the dsolve output. Thanks. Glenn

## Factor out a common coefficient?...

Sorry for the poorly formated post of the same name. I'm still trying to figure out how to cut and paste from Maple to this forum. Is it possible? Also the main question is: I have the results of a Fourier series and I wish to factor out a common coefficient: (4/Pi)*Sin(x)+4/Pi*sin(3*x)....+) Is there a command(s) to get the results: (4/Pi)*(sin(x) + sin(3*x).....+ ) Thank You Larry Ciak View 1600_11.2-6 Primes 1 Post.mw on MapleNet or

## How would I use Maple to find two prime numbers th...

How would I use Maple to find two prime numbers that, if multiplied, would generate a 400-digit number?

## The MRB Constant

Maple

The appearance of this thread has degraded over the years, but most all post about the MRB constant can be found by entering "MRB constant" into the search box.

Some links were updated on June 26, 2010.

## Complex typesetting...

I know that the purpose of Maple is not to be a typesetting worksheet. But the improved typesetting abilities (Ver 10) are useful for making demonstration worksheet. Specifically, I would like to make a demonstration worksheet of a mark-recapture model I am currently working on. The main purpose is show how how the likelihood is built, step by step, following the paper's notation. As well as showing estimable parameters (including sparse data scenarios). Since my work is used by biologists rather than mathematicians, I feel it is a worth pursuit. The only problem is that I cannot dupicate notation such as:

## using mouse to get data from plot...

I have still been using mostly release 8, but was wondering whether MAPLE 10 now can do things standard in MATLAB, JAVA: Is there a way in release 10 (maybe via maplets?) to use the mouse for extract the coordinates of a point from a maple-plot [[ e.g. want to use initialize a dsolve() by graphically selecting the initil data.]] going further, is there a way to "draw" a curve on a maple plot using the mouse -- and get the coordinates of points along the curve back into the worksheet )(e.g. as an array that can be further manipulated)?

## Polar representation of complex numbers?...

Greetings, I have done some searching and have been unable to find out how to use complex numbers in polar form in Maple 10. Is this possible? If so, what about degrees versus radians and can both polar and rectangular representations be used in the same document/worksheet? Thanks, Ken

## Brain teaser # 1

by: Maple
A few years ago I saw somewhere in a math forum a brain-teaser type problem which I'm about to present. I wasn't able to solve it at the time. I haven't been able to find the original forum, so I don't know whether or not my answer is right. I do know that I could never have attacked the problem without MAPLE. We have a cube of edge a and a drill bit of diameter b. We drill one hole from the center of the front face to the center of the back face, and another from the center of the right face to the center of the left. What is the total volume of material removed? I get (Pi*(b^2)*a)/2 - ((2/3)*b^3) Am I right?

## Problems with subs and collect...

I am having problems with subs and collect. Unfortunately, I still haven't figered out how to make the input part of a MAPLE equation visible in the post. I still have the problem that it just appears as "MAPLE equation" so anyone who is kind enough to want to help me will have to look at my file Thank you View 2292_SubstitutionAndCollect.mw on MapleNet or Download 2292_SubstitutionAndCollect.mw

## substitution of expressions involving functions...

I would like to apply a relation such as f(x,a)*f(x,b) = (f(x,a)+f(x,b))/c (where x,a,b are any real number say) to simplify an expression such as f(y1,a1)*f(y2,a2)*a3*f(y1,a4)*f(y2,a5) to a3*( f(y1,a1)+f(y1,a4) )*( f(y2,a2)+f(y2,a5) )/c/c The only way I can see to do this is to struggle to get the function in the `right' order with no constants between them, and then do a substitution for every variable triple (y1,a1,a2) that occurs. There must be a better way. I've looked around the forums but I don't even know what to look for really so any suggestions of where to look would be great.

## Rounding very small numbers to zero...

Hi - Is there a way to tell Maple to zero out terms in an expression that have a very small constant. For example I would like to round something like (1x + 2y - (1x10^-20)z) to (1x + 2y). Thanks. Bryan

## plot a function...

Hereby I'm telling you I'm new in using Maple, so please don't laugh after reading my problem. I want to plot the function x=6. In my brain this is a vertical line, through the x-axis with x=6. After several attempts, the only thing I get is a horizontal line through y=6. Where did I go wrong? > x:=6; > plot(x);