## Differentiation...

For the following function determine the x coordinates of the local minimum and the local maximum f(x)=9x+21/(x-13)

## Analytic Geometry...

Hello. I'm having a problem graphing the following parametric equations in 3d , together: x=1-2*t y=-t z=3+t and x= 5+3*s-4*t y=7-5*s-5*t z=-2-s+6*t Thanks, excuse-me my English, I’m foreigner

## how can I define a multifunction?...

Hallo, I have a function in form f(x(t)), how can i define it in maple and diff it? thanks a lot ex ante.

## simplification of gonimetric functions...

Hi, Thanks to a few matrix-transformaties, I have elements like ' 1/2*cos(t)-1/2*3^(1/2)*sin(t) ' which also equals cos(t+1/3*pi) (--> thx to: cos(pi/3) = 1/2 and sin(pi/3) = sqrt(3)/2). But I don't find any way to make maple realize that it can be simplified that way. Can he make such simplifications? thx in advance

## Newtons method tutor...

How do I use newtons method tutor to find the fixed points of a function?

## Maple Procedures: general matrix problem...

Ok, I'm writing a procedure that will return either true or false as to whether a given coordinate (u,v) lies with the plane polygon, made up of n sets of points (xi,yi). I can write the loop code (I think) to check whether u and v are within the intervals; what i cannot do is define the matrix properly that representsteh points. I think it should look like: A:=linalg[det](linalg[Matrix](3,3,[X,Y,1,x[1],y[1],1,x[2],y[2],1])) Obviously this is for a 3x3; I want to replace the x[1], y[1] with i's; however, no matter which way i do this i get an error message saying that i have invalid parameters for a matrix.

## procedure becomes slower and slower with every cal...

Hi Maple experts, I have a seemingly simple procedure that is supposed to create random matrices. What surprises me is the fact that it takes more CPU time evertime I call it (even in a fresh session). The procedure is as follows: ``` Feynman_random_rho := proc(N::posint, d::posint:=2)::'Matrix'(complex[8]); # # returns a random N-qudit density matrix where the optional second argument, d, # specifies the dimension of each subsystem. By default, d=2 is assumed so that # an N-qubit density matrix is generated. # The density matrices are uniformly distributed according to the Hilbert-Schmidt ```

## Strange integration output...

Hello, I'm trying to integrate (for a homework) the Planck radiation formula. But the result (see the Maple10 worksheet below) is so strange (polylog(4,exp...) stuff) that I can't figure out what it means. I tried to compute taylor series at T=0 (because the exercise is to prove that integral is proportional to `T^4`) but Maple can't do it. View 5085_planckintegration.mw on MapleNet or Download 5085_planckintegr

## Need Help for understanding a matrix...

If i have this matrix in maple, what does it mean the last row (0 0 0 0 1) and what is 1? Is it like 2a+5b-6c+2d+6e=1. View 6573_problem.mw on MapleNet or

## Write simple initial value problem in a mapleta qu...

Hi! I am trying to write a question involving a second order initial value problem. The 2 conditions are u(0) = \$a du --(0) = \$b dx but I am not able to code it correctly. I have tried ... \$eq2=\$mathml("(d^2u)/(dx^2)+(\$mamb)(du)/(dx)+(\$ab)u=0"); \$eq3=maple("printf(MathML:-ExportPresentation(u(0)=\$a))"); \$eq4=maple("printf(MathML:-ExportPresentation(du/dx(0)=\$b))"); ... This works fine for the first condition, but I get du ---- = dx(0) for the second one. Is there a way to get the "(0)" in the right place, either using "\$mathml" or "printf"? Thanks in advance for your help.

## Units...

So I put in my first line and hit return. Maple spits out the second in which my 47.3 lbs/ft^3 gets turned into SI units while the other two quantities are left in FPS. Can someone tell me why?

## How do I get the upper/lower bounds of a given for...

Is there a way in Maple to compute the symbolic upper bound and lower bound of a given symbolic formula? Thanks. Bo