Let r is radius of circle inscribed and R is radius of circle circumscribing atriangle ABC.

Prove that p[tan(A/2)+tan(A/2)+tan(A/2)]=r+4R where p=(1/2)(a+b+c).

I have two inequalities in the complex variable z, called "ineq" and "ineq2".  When I issue the following plotting command, I can show the region of the complex plane that satisfies both inequalities:  It appears as a black region:

plots[implicitplot](eval(ineq = ineq2, z = x+I*y), x = -8 .. 8, y = -8 .. 8, gridrefine = 3, filled = true)

Now, I would like to generate a similar overlap plot, but for three inequalities,...

Hello,

I just bought a new PC with Windows 7 Professional 64bit and wanted to install my old Maple 12. I have a notebook with Windows 7 Home Premium 64bit where it runs without any problems. However, Maple 12 does not start whether I put it on compatibility mode or not. There are just two error messages showing up:

http://s14.directupload.net/images/120303/5xwxbl8j.png

http://s14.directupload.net/images/120303/ij8jqfdl.png

Maybe someone can help?

I have a question about the accuracy of Maple functions subs and evalf. I have some expressions such as the following: (more complicated). Let's call it f(n).  f(n) is not a polynomial in n or a rational function. It is a function of n involving exponents and four operations. When I plug in a large n in such an expression, would the answer I get (using evalf with some custom accuracy) be exact?  I am trying to prove f(n)/n >= constant....

Maple experts, please help...

I am facing hard time with ODE functions...:(
I would like to know if there is any command or algorith that could actually clear the solution of "dsolve" command,what I mean... let's say I have ODE function of one indeterminate "y(t)" and its general solution is obtained from dsolve command by setting certain initial conditions. Now, I need to remove that general solution from the system memory so as on next call of ODE function the "y(t...

Hi, can anyone help me with this questions? Thanks!

Use maple to find the general solution to the following system of linear equations:

2x₁  + x₂ - x₃ +3x₄ = 2

x₁ + 2x₂ -x₄ = -1

3x₁ +2x₂ -2x₃ +x₄ = 1

hi all

i am trying to write some code to display:

a) hexagon tiling, rather like a honeycomb in 2D

b)  equilateral triangles tiling , all space filled by said triangles. eg a series of triangles whose base is parallel to base of plot, with inverted triangles filling in the remaining spaces

c) square tiling

for a,b c I  want about 50 of each displayed (all of edge length 1) on the one plot

d)  some code...

My overall goal is to get a high resolution image onto a poster I am creating. I simply have an x and y coordinates for 4095 entries. Excel and maple can obviously do this, but I need to put the end result into PowerPoint. Since I think the Maple graphs look more professional, I was trying to use the Maple Add-In in Excel to simply make a scatter plot. I am assuming the image format between excel and PowerPoint will be much more compatible than that of maple to PowerPoint....

One of my friends would like to buy a book about solving multiple integrals and/or ordinary differential equations with Maple (some newer version, let's say 13 and newer).

I know about this site: http://www.maplesoft.com/books/, but can anyone recommend some book(s) which is (are) worth buying?

What are the equivalents of eval and evalf for Matricies. In particular how would you display a Matrix which appears in symbolic form to appear with numeric entries.

 Hi, 

If I have a function defined as 

                                             F[i]:=x[i]^2 +x[i]*y[i]+y[i]^2    where  x[i]:= (i-1)0.1  and y[i]:=(i-1)0.2 ,    i=1..100

I have the following problem. Two formulas in three variables represent the costs of algorithms. I want a visual of their ratio, so that I can "see" how their relative performance varies. Here is a simple example. I can analyze this example analytically, but you can't always do that.

R := sum(binomial(n+i*d,n),i=1..k-1);
S := binomial(n+k*d,n);
f := unapply(R/S, n, d, k);
A := Array(1..10,1..10,1..10,f,datatype=float[8]);

I want a 3-dimensional rendering...

How can several expression statements be not displayed during and after an execution process of "then"conditional statement (I mean "If.....then...")?
For example:

if .... then
exp1:
exp2:
exp2:
....... 

end if;

each expression above can consist of various commands in its body.All my exp statements were finished by ":"
but, they...

Hi,

I just noticed something rather peculiar (well, to me, at least). When I compute the limit

limit((1-1/x)^(-x),x=-infinity)

as is, I get the expected result of exp(1).

However, if I load the RealDomain package prior to computing the limit,

with(RealDomain):

limit((1-1/x)^(-x),x=-infinity)

I get that the limit is undefined. 

Any ideas as to why that is the case? Thanks!

Hi,

I'd like to take the second derivative of the following function (see below), but I keep ending up with an

Error, (in content/polynom) general case of floats not handled

The range of the equation that I want to look at is from 0 to 1 and I know that it "blows up" around 0.09 for EQ1 but not EQ2.

The commands that I've tried are diff(%,FIO2) and Diff(%,FIO2).  I'm probably missing something obvious, so hopefully someone can tell me...