I'm attempting to solve a system of 47 equations (for 47 unknowns) analytically via matrix methods.  My equations can be written as the product of a 47x47 matrix of coefficients and a 47 row column vector of variables.  I'm trying to find the determinant of the 47x47 matrix of coefficients.

I've done this succesfully for simpler systems (or around 20 equations) however when I try to use the same method for this larger system I get the error (after a few minutes of computation)...

Investigate the limit of (1-cos(x))/x as x->0.  

More specifically, define f(x)=(1-cos(x))/x  and demonstrate that the limit of f(x) going to 0 is equal to 0 as follows:

Write a function that takes epsilon as input, and calculate an integer N as the output so that |f(1/N)|<epsilon, using a while loop.

Specifically, compute f(1);f(1/2);f(1/3);;;;until |f(1/N)<epsilon and return N.

I'm not sure how to even start this, any help would be appreciated....

Find the derivative of f(x)=|(x^3)-8*(x^2)+5*x+4|-0.5*x;x in [-1,7]

Find critical points of f(x) and dertimine the local maxima and local minima.

Output: Two lists of points (x,y), a list of local minima and a list of local maxima.

Hint: you may use Maple package Student[Calculus1]]

     use first derivative test to avoid 'kink' point i.e. undifferentiable point

     set delta=0.0001, test derivative around critical point x+delta and x-delta...

I just purchased Maple 16 for a Mac OS X 10.6.  When I started programing a procedure and needed to have a coded text return entered Maple is not recognizing it at all.  I am getting an error that states "invalid Minus", examples that I have downloaded work, but not my own coded responses.  Is there a way to fix this error?

Also I can not represent any number in this form when I use printf('The expected value is %12.8f',p), for some reason...

I have an equation sqrt(x+1)+sqrt(x+2)+2*sqrt((x+1)*(x+2))+2*x-3=0. Now I want to introduce new variable t = t=sqrt(x+1)+sqrt(x+2). How must I do?

I did

f:=x->sqrt(x+1)+sqrt(x+2)+2*sqrt((x+1)*(x+2))+2*x-3:

sol:=solve(t=sqrt(x+1)+sqrt(x+2),x):

A:=f(sol):
simplify(A);

But I did not receive a good answer. Please help me.  

Define a function (a implies b) is equivlent to (b or not a)

implies(a,b) truth table: (a) is in left column and (b) is in the top row

Implies  |  true  false

-------------------------

true      |  true  false

false     |  true  false

such that : implies(true,false)=flase ,implies(false,true)...

you need to show results that meet the truth table

Hi All, I have the following procedure to compute the gcd between two integers:

Egcd := proc(a, b)
while b != 0 do
temp := b;
b := a mod b;
a := temp;
od;
return a;  
end proc;

Why does it simply return the value of a when the function was called? (i.e my statements inside the procedure do nothing

How can I persuade Maple 16 to simplify such double sums to zero?  (The competition does it in a snap).

sum(sum( m[i]*m[j]*(x[i] - x[j]), i=1..N), j=1..N);

sum(sum( m[i]*m[j]*(x[i] - x[j])*(y[i] - y[j])*(z[i] - z[j]), i=1..N), j=1..N);

The sum elements are antisymmetric in the (i,j) indices so for every element there is another one cancelling it.

Dear Mapleprimes,

I have two equations:

x-lambda*p=0

and

y-lambda=0

I would like to divide them such that I have:

(x/y)=p

Is there any way of doing that without doing it manually?

Many thanks,

Christian

restart:with(plots): a := 1; b := .5; d := 1; omega := .4; h1 := 1+a*cos(x); h2 := -d-b*cos(x+omega); F := Q-1-d; de:={alpha*(diff(f(y), y, y, y, y))+G*(diff(theta(y), y, y))+B*(diff(phi(y), y, y)) +6*beta*(diff(f(y), y, y))*(diff(f(y), y, y, y))^2+3*beta*(diff(f(y), y, y, y, y))* (diff(f(y), y, y))^2 = 0, diff(theta(y), y, y)+Nb*(diff(theta(y), y))*(diff(phi(y), y))+Nt*(diff(theta(y), y))^2 = 0' diff(phi(y), y, y)+Nb*(diff(theta(y), y, y))/Nt = 0, f(1+cos(x)) = (1/2)*Q-1, f(-1-.5*cos(x+.4...

With a given set of pairs S:={[1, 1], [2, 1], [2, 2], [3, 1]...} and a procedure f:=proc(x,y) that has two input variables how can I execute the procedure for each pair in S? Thanks,

How to plot           f(n)=1/6                          if n=0

                                 =f(0).(1-a).a^{n-1}   if n=1,2,...  where 'a' is a given constant...

i have a differencial equation and use DEplot but it does't plot anything.

i have uploaded an image of what im doing

thanks

I found some old Maple 6 worksheets that I wrote in 2003 and I want to see what's in them and probably transfer at least some of the content to new worksheets.  Most of them I can view just fine with Maple 16 standard interface but at least one of them comes out looking like all of the lines have been printed on top of each other --- completely illegible.  Now I can read the worksheet using Maple classic interface on my machine at home, but both of my machines at...

Hello all,

I just recently got Maple 15 re-installed for my Chaos Theory class, and am having a bit of difficulty remembering how to plot iteration functions..

An iteration function, obviously, is one where the calculated values depend on the previous (or initial if it is the first plotted) values.

Where the general form of the equation I want takes:

X_n+1 = k - (X