Could anyone help me on how to find a median of a triangle on maple? the questions is asking for a triangle ABC , write a maple procedure which has vertices A,B, C as input and which has a out of the point P (centroid) and a plot of the triangle with the three medians.
 

Use Maple to calculate the volume inside both the sphere x^2 + y^2 + z^2 = 4 and the cylinder (x-2)^2 + y^2 = 1.  Plot both surfaces on the same graph.

I need help! I have no idea how to do this on Maple!!

This forum is the place for you to post all of your MapleSim questions.

Why does the second plot at the following link look odd?

www.2timv.com/math/maple/sqrWave/

I have a simple function as written below and I want to compute the partial derivative of it against an element u[k] in a vector variable u. I intentionally left k unspecified because it is not a set number and I don't really want to put it there to generate a bunch of specific output. But when I run it in Maple 12, it gives me the wrong result (sum((x-a[k])*(y-b[k]),k) instead of the correct result (x-a[k])*(y-b[k]).

restart;
with(PDEtools):
m:=(x,y,u)->sum(u[k]*(x-a[k])*(y-b[k]),k);
diff(m(x,y,u),u[k]);
 

Hi,

If anyone could help me out with these that would be great, thanks!

Hi folks, i'm ttrying to create an nxn array with n going as high as possibly 1000 to test the speed of a procedure i wrote.

Problem is, each row in the array has to have the numbers 1 to n arranged in a random order, with no number repeated.

Is there anyway to do this? Preferably using the Array command (think thats different from array...).

Cheers!

Hi,

Coul anyone help with this question?

Thanks

Your job is to test several forms of dampening coefficients to determine the ``best'' to use for safety
and comfort. You are to consider a modification of the harmonic motion differential equation
my"+ b(v) y'+ ky = 0

where m is the mass of the driver, k is the spring constant, and b(v) is the variable dampening coefficient.
For the first part of the problem, assume that m = k = 1. We will also be letting v = y' .

b(v)= v^4

Solve the ODE:

I have maple 12 and i am wondering how to approach a Newton's Method type problem. General help would be fine, but i m gonna supply a specific example that im interested in solving.

If anyone knows how to do this please respond as soon as possible, I am really having trouble with this

How the several packages for the dsolve(numeric) chose the step size? what are the criteria?

Hi there,

So my problem is to find the solution(s) of a 3-D system. I can get Maple to spit out a solution (at times), but I am looking for reassurance that this is indeed the solution (if unique, and if not what the other solutions may be). Increasing Digits makes Maple "lose" the solution and return a blank-- normal behavior? Looking at the 3-D plot of the system offers something to puzzle over.

I set up the system in  (x,c,q):

xd := x^.5-.1*x-c;
cd := (.5/x^.5-.1-q)*c;
qd := -(q-.2e-1)*(q-.3e-1)+(q-.25e-1)*(.5/x^.5-.1-q)*c/(x^.5-.1*x-c);
 

I look for a solution with fsolve:

Digits:=10: interface(displayprecision=10):
ss:= fsolve({xd,cd/c,qd}, {x,c,q}, avoid={x=0, c=0, q=0});
xs:=subs(ss,x): cs:=subs(ss,c): qs:=subs(ss,q):

Maple gives:

ss := {c = 2.399289639, q = .2511089584e-1, x = 15.97164840}

If I raise digits to 15, Maple can't solve it anymore. Perhaps this is normal behavior.

I'd like some reassurance that this solution is indeed a solution. Simply feeding the fsolve output back into the system will not work because of a division by zero:

eval(xd,{x=xs,c=cs,q=qs}); eval(cd,{x=xs,c=cs,q=qs}); eval(qd,{x=xs,c=cs,q=qs});

yields:

0.
-.9597158556e-10
Float(-infinity)

I decided to look at the 3-D plot. The plot of the system suggests that there may be several solutions.

The plot:

plotopts:=style=patchcontour, shading=none,lightmodel=light3,axes=boxed:
px:=implicitplot3d({xd}, x=0..25,c=0..5,q=0.02..0.05, numpoints=10000, plotopts, colour=brown): pc:=implicitplot3d({cd/c}, x=0..25,c=0..5,q=0.02..0.05, numpoints=10000, plotopts, colour=green):
pq:=implicitplot3d({qd}, x=0..25,c=0..5,q=0.02..0.05, numpoints=10000, plotopts, colour=blue):
display3d({pq}, orientation=[-25,70]);
display3d({px,pc,pq}, orientation=[95,90], projection=1);

plot of third equation
plot of 3-D system

The plot is not very clean, and no matter how hard I've tried, by turning it around and zooming near the Maple solution, it is not clear that there are no other solutions. (well perhaps it is clear from the equations themselves, but I couldn't work it out and resorted to the numerical approach)

Does somebody have a sheet covering that algorithm for continous
anti-derivatives of rational functions (Bronstein's book §2.8
"Integration of transcendental functions")?

Or can show me, how to extract it from Maple's library in case
it is there (and I guess Maple covers that ...) for explicite
use?