Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Dear All,

 

I have 12 equations with 12 unknowns.  I trying to solve using the following:

 

solve({s1,s2,s3,s4,s5,s6,s7,s8,s9,s10,s11,s12},{c1,c2,c3,c4,c5,c6,c7,c8,c9,c10,c11,c12});

 

but my problem is MAPLE doesn't solve for C10, C11, C12.    

Is there any format for writng s10,s11,s12  and c10,c11,c12.

 

Your help will be really appreciated.

Thanks in advance

Write the equation of the sphere passing through the point B(-1,-1,0) and tangent to the line x = t + 1, y = 2*t + 1, z = -t + 2 at the point A(1, 3, 2) so that its radius obtain minimum value.

This is my code.

> restart:with(geom3d):

point(B,-1,-1,0):

point(A,1,3,2):

a:=[t+1,2*t+3,-t+2]:

line(Delta,a,t):

dsegment(AB,[A,B]):

Problem 1. Write the equation of the sphere passing through three points A(2, 3, -2), B(-2, 3, 4), C(0, -1, 2) and  tangent to the plane (P): x+5*y+z-33=0.

This is my code

> restart:with(geom3d):

point(A,2,3,-2):

point(B,-2,3,4):

point(C,0,-1,2):

plane(P,x+5*y+z-33=0,[x,y,z]):

point(T,x,y,z):

Is there any easy way to download (or upload) several files in my maplecloud simultaneously. I seem to be able to highlight several files, but when I control-click it then only selects one.

Thanks,

Jason

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.

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?

When I do the following command in Maple:

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 ?

I would like to see the contents of a .m file into a human readable form.  How do I do that?

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