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?

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
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.

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

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);

(D@@2)(x)(t)=(-g/v)*sqrt(D(x)(t)^2+D(y)(t)^2)*D(x)(t)

(D@@2)(x)(t)=g-g/v*sqrt(D(x)(t)^2+D(y)(t)^2)*D(y)(t)

initial conditions

x(0)=0,y(0)=0,d(x)(0)=134,d(y)(0)=0

using rkf45

for time, 0-30

solve for x(t),y(t)

then i plan to plot the two and find the intersection

but i'm having trouble getting through the rkf45 to get my x(t) and y(t)

I intended to post this msg in this forum but somehow put into the MAPLE TA forum. Here it is where it belongs.
I know this is a really basic question & I'm kind of surprised I haven't run into this situation before, but here goes. Multiple assignments are possible, e. g.
a,b,c = 1,2,3
What's the simplest MAPLE command(s) which will place into each of these 3 variables a value twice its previous value.
I try stuff like
a,b,c = map(x->2*x,(a,b,c))
and MAPLE says no way!

how do i solve a set of coupled differential equations like these
for x(t) and y(t)
eqn1 := (D,2)(x)(t) = -a*sqrt(D(x)(t)^2+D(y)(t)^2)*D(x)(t),
eqn2 := (D,2)(y)(t) = g-a*sqrt(D(x)(t)^2+D(y)(t)^2)*D(y)(t)

Playing with numerics for the hypergeometric function 2F1 i stumbled
into the following exactness stuff, where lots of digits are lost
and one needs to increase working precision quite a lot to get a
good answer:
f1 and f2 result from evaluating ugly, but usual transcendent functions,
f3 comes through high precision and f0 is the limiting case.

restart;
hypergeom([1,2+epsilon],[3],z):
'%' = simplify(convert(%,StandardFunctions));
theSol1:=rhs(%):
theSol1 = -2*(z*(1-z)^epsilon*epsilon-1+(1-z)^epsilon)/
z^2/((1-z)^epsilon)/epsilon/(1+epsilon);
is(%);

Hi,
Im using the display command to plot 3d surefaces/projections (which the also overlap on different occasions)on the same graph coming from different equations.
My question is how can i colour the surfaces with a command (its too hard to do it onthe graph)so i know to which equation each surface corresponds to? Is there an additional way offered from maple to distinuish the graphs from each other.
Finaly, I use the command labels=[x,y,z] to call my axis "Time of Fault Clearance,s" , "Magnitude of Fault Current" , "Parametr".How do i syntax a string?
Thanks for your time

Below is the code I'm trying to get working. In matlab this would be cake, but I can't seem to figure out how to get this working in Maple. Help Please....
> for j from 1 by 1 to 6 (for n by 1 to 6 do M[j,n]:=(∫)[o]^(l)(phi)[j]*(phi)[n]*p ⅆx end) end do;
Error, invalid sequence
for j from 1 by 1 to 6 (Typesetting:-mambiguous(for , Typesetting:-merror(
Ok I also can't get my code to past in..... urgh...

Hi,
I am having a problem with making all of my worksheets appear as tabs. Maple only displays a worksheet and then I have to use the back or forward arrows or the "more" windosw pull down to activate a sheet.
I have had all the worksheets appear as tabs above the worksheet before, but cannot figure out how I did this.
I am using Student Maple 10.
Can anyone tell me how to make them appear as tabs?
I have check what I think is the appropriate box.. open worksheets in new tab.
TIA
Larry Ciak
aka malt_master@comcast.net

what does that mean? I cannot find it on the help?

Hello,
my question is connected to the topic in my blogpost -

Testing objects for equivalence.
Alec Mihailovs wrote a procedure for

nested verifications.
But this doesn't work for relations where one relation equals to the second one multiplied by a constant. They are different, but solution is the same.
For example:
x=1
2*x=2
also Maple answers false.

`verify(x=1, 2*x=2,relation);`

false
Hi,
I have a question. In the Classic Worksheet in Maple 10, how do we change the triangle brackets <> to the square brackets [] when entering matrices with the Matrix palette.
Thanks