Dear Maple experts

I want to find the co-efficient for z^k of G(t,z)=sum_i=1^infty a_i(t) z^i where z is a function of t.

How to write notation for logical induction programming in Maple like F# or Haskell having tuples?

such as 

Conj(A,Disj(B,C)) ...

I am trying to get Maple 16.02 to evaluate

cos(Pi/4 - I*ln(2))

using exactly the syntax I just typed.  The correct answer is 3/4 + I/4.  I cannot get Maple to give me this correct, simplified answer.  I have tried "expand", "simplify", and "value", and I get garbage containing terms such as

"sinh((1/2)*ln(2))".

How can I force Maple to give me the simplest answer?

Can someone help me whith this plot? Somehow Maple always says unable to evaluate the function to numeric values in the region.

File is attached.

Plots.mw

The equaltion given below has 4 roots. I only want to see the 2nd solution for each alpha and it will come in a list. I don't want to see all the solutions. What to do

for alpha from .4 by .1 to 5 do
S := solve(x^4-alpha, x);
S[2] ;
end do;

Hi all,

I need to solve this linear system:

R11+R12+fx=1

R21+R22+fy=1

R31+R32+fz=1

R11+R21+R31=1

R12+R22+R32=1

R11*R22*fz+R12*fy*R31+fx*R21*R32-R31*R22*fx-R32*fy*R11-fz*R21*R12=1

It is a solution for a 3D rotation matrix in which I know the last coloumn (fx,fy,fz) and I need to find the other six elements of the matrix R11,R12...Obvioulsy there are infinite solution, but in particular...

I am currently doing a project for mass transfer class. Here is a differential equation that I need to solve:

For the solution, and plug in the value of C_AS and C_A0, I finally got the concentration profile of:

Then I write the commands and Maple won't give me a plot (no warnings appeared). Can someone help me with this situation?

Recently, I encountered the problem in which one's asked to investigate if the following fraction is an integer or not. Of course the problem has an theoritical approach, but I wanted to make the problem dynamic. The fraction is p=(k^2-87)/(3k+117) and we want to find k in which p is an integer. What I did is to use the function msolve and a loop for but it gives my just the empty set which is incorrect. Any hint? Thanks

I have a command in Maple that looks like

Hey,

i got some linear optimization problem which i solved via maximize from the simplex library and i'd like to know if there's some way to generate only the final simplex tableau.

After typing

with(LinearAlgebra):
avector:=Vector(3,symbol=a):
bvector:=Vector(3,symbol=b):
'a x b'=CrossProduct(avector,bvector)

Maple writes out

Hi,

iam trying to define a commutator rule (using the Physics package) but iam getting an error i do  not understand.

I have (quantum) operators like this: A_ij  i and j are numbers from 0 to 3

The commutator relation i want to define is: [A_ij,A_kl] = A_ilδ_jk - A_kjδ_il

My worksheet looks like this:

hey friends am trying to solve non linear integral equation by using optimal decomposition method. but problem is my code is not excuting from end and my graph also not picking exact values please help me.

am attaching file please check it n let me know where am wrong.Page_No_135,_Exercis.mw