## opening worksheets in existing Maple session ...

by: Maple

Here's a first working shot at an external, programmatic mechanism for opening .mw worksheets/Documents as new tabs in an already running Maple Standard GUI session.

This involves a `sh` shell script, runnable in Unix/Linux/OSX/cygwin. Maybe someone could post a MS-Windows .bat batch file equivalent.

The basic idea is this: you have a GUI session open. But you want to be able to open other .mw files in that session without having to go through the GUI's File->Open menu every time ...

## Indefinite Integrals

by: Maple 12

Hey there,

the attached worksheet shows you how to master definite integrals using special tools that help you determine the pattern between antiderivatives and the area under a curve.

You can also view the examples done in an interactive video:

Indefinite Integrals - Video Tutorial

## Area between Curves

by: Maple 12

The attached worksheet gives you a brief review and shows you how to use Maple to solve and better understand the area between curves. You can also view the examples through an interactive video tutorial:

(Ctrl + click on link below)

Video Tutorial: Area between Curves

Please feel free to shoot questions at me!

## Expressions...

How do I define an expression?

## Solving two ODE's and finding the maximum of one v...

I have a system of two ODE's. One is of the form dT/dt=a*(dc/dt)-b, where a and b are constants. The other is of the form dc/dt=-(c^2)*d*exp(j*(1/T-1/k)), where d,j, and k are constants. I need to find the maximum value for T. I can solve dT/dt via the separation of variables method to get and expression T=f(c,t). I then substituted this expression into dc/dt=f(c(t),t) and solved it numerically in Maple. How do I substitute the values of c(t) obtained in Maple into T=f(c,t) and find the maximum? Or is there a better method?

## Syntax for ODEs...

I'm trying to use Maple to solve an ODE instead of using partial fractions.  I can't get the syntax correct.  The original problem is...

dC = C(1-0.0002C)dt        C(0) = 2   for t >0

I know it's seperable into

dC             = dt

C(1-0.0002C)

I can't get anywhere to find an explicit form!  Any help is appreciated :D

## open a file, in maple...

I want to open a file, in maple.  I do not want to open maple, and then open the file.

More specifically, how do I

a) run something like:

maple -x -f myfile.mw

so that xmaple starts and opens directly to the file myfile.mw.  Ideally if xmaple is already running, it will hopefully just spawn a new tab.

b) set this up as a "Preferred application" in Fedora and in Ubuntu.

I think a) may solve b).

## (a+i b)^(1/2)...

How could I obtain the 2 values (a, b are reals) of this complex number?

I tried

assume(a::real)

assume(b::real)

sqrt(a+i b)    and     (a+i b)^(1/2)  give back the input.

Thanks,             Sandor

## Curve fitting using least square...

Given several poins and a known center, how do I approximate a circle with an unknown radius with Maple?

I am totaly new using this software, so I don't know how to start.

## How do you plot a Single Point in three Space?...

I have the equation of a sphere x^2+y^2+z^2 = 36 and two points in three space P(-3,-10,2) and Q(5,14,8) and I need to show that the line between the points intersects the sphere graphically and analytically, but I cant even figure out how to graph them, and I have a suspicion, but am not sure, that to prove it analytically I would find the equation of the line in three space between the points and prove that the line equals the equation of the sphere in two places, but I cant figure out how to find that equation either.

## Want to use Statistics[Tally] on a 3-tuple...

Each line in my data file reads

[elm1, elm2, elm3, elm4]

I have the following lines to tally column 1:

> data:= map2(op, 1, datafile);

> Statistics[Tally](data);

I would like to tally the 3-tuples, [elm1,elm2,elm3], and it doesn't seem that Tally is able to handle a 3-tuple.

## Collect Terms...

Hi,

I have an equation given by

( 15.3*r_1 - 0.6 + 5.7 * r_2 ) / ( 21.0*r_1 - 3.1 + 84.8*r_2 )

what command do I use to collect r_1 and r_2 so i get

(r_1 + r_2 ) * ...... -.....    /   (r_1 + r_2) *....... - ......

## Simple Solution...

Hi,

if I have a equation

( 15,3440 * r_1 - 0.6329 + 5.7540 * r_2  )   /

( 21.0981 * r_1 - 3.1780 + 84.8348 *r_2 )

How do I solve for r_1 and r_2 ?

The solutions should be r_1=0.175 and r_2=0.055