MaplePrimes Questions

I am trying to solve the so called Bethe ansatz equations in Mathematical Physics.

I have four multivariate polynomials equations with four unknown p_i(x[1],x[2],x[3],x[4]) i=1,2,3,4; which have integer coefficients. The equations are mixed; P_i is linear in x[j] for x[j]\ne x[i]; and x[i] is of order 10. Due to this structure,  I first eliminate x[4] from these equations. Then use resultant to eliminate x[3],  I got error messages (invalid series, in gcd...

I want to put vector n = (a, b, c) as normal vector of plane with assume a^2 + b^2 + c^2 > 0. For example

with(geom3d):assume(a^2 + b^2 + c^2>0):

plane(P,a*(x-1) + b*(y+2) + c*(z-3)=0,[x,y,z]);

But, i got: "Error, (in geom3d:-plane) unable to define the plane"
Plese help me. How can i put vector n = (a, b, c) as normal vector of plane?
Thank you very much.

Solve the equation sinx=1.5

How do I mask an input string?

That is when queried for an input, as the characters are typed they are presented differently.

Write the equation of the sphere has its centre at C(1, 2, 3) and cut the  straight line

Delta: x = t+1, y = t-1, z = -t at the points A and B so that the triangle ABC is a equilateral triangle.

This is my code.

Please help me the following code

f:=x->x^3-3*x^2+2;

g:=x->k*(x+1)+3;

solve([f(x) = g(x), diff(f(x),x) = diff(g(x),x)],[x,k]);

evalf(%);

The result of Maple is

[[x = .168254401781027, k = -.924597779530090]]

But, the system of equations has three solutions.

Problem. Write the equation of the sphere passing through the three points

A(-1, 2, 1), B(-3, 4, -5), C(1, 2, -3) and its centre 

1) lies in  the plane (P): 2*x + 3*y -z = 0;
2)lies on the sphere (x-3)^2 + (y+1/3)^2 + (z-1)^2=1.
 
This is my code
1) 

restart;with(geom3d):

point(A,-1,2,1):

point(B,3,-4,5):

Hello,

I solved an equation, and Maple returns two values.  Even though I said, assuming v1i>0, the solve command returnse this:

logically evalf(x^(1/10)); should return x^(0.1000...0), not x^(1/10). Or it's just case of other rule?

I'm having trouble maximizing this funciton:

 

S=  (w1*E1+w2*E2+w3*E3)/(CoVar[1,2]), subject to the constraint w1+w2+w3=1

 

I need it to choose w1, w2, and w3 to maximize S

When I do the following command in Maple:

i have a differential equation like the one below

diff(y(t),t) = (20-y(t))*y(t)/(10+y(t))-C

i want to solve for C. i want to solve for C , is there a command i can use. i can't find it in maple help. i just started to use this software. please help

How can I create using Maplet a window that is not modal, so I could minimize or maximize it (I know what to do to make it resizable and that's not the question I would like to ask).

This simple example creates modal window with no minimize and no maximize button:

> with(Maplets[Elements]);
> maplet := Maplet(Window([]));
> Maplets[Display](maplet);

Is there an option to set for a Window or maybe I should change some settings in Maple 13 that I'm using ?

Hi, was wondering if there is a way that i can integrate each element in my matrix?

N0:=zeta->Matrix([[-2*(1-zeta)*(zera-1/2)],[4*zeta*(1-zeta)],[(2*zeta)*(zeta-1/2)]])^%T   ###1x3 matrix

N1:=zeta->N0(zeta)^%T ###3x1 matrix

dot product of N0 and N1 is a 3x3 matrix

Can in integrate the 3x3 matrix? each of the element by zeta from 0 to 1.

Please advice. Many thanks. =D

 

Recently I've run into a strange problem logging into the MaplePrimes site.  I have two computers, both running Debian linux.  On one, I can login in using the FireFox browser.  On the other I cannot.  It accepts the password, but immediately reopens the window that prompts for a password.  If, however, I switch to the chrome browser on that machine, I can then login.  Any idea why Firefox (aka IceWeasel, on Debian) would have an issue?  Have I configured something strangely?...

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