I would like to have Maple reproduce the well known result that the geometric power series with first term 1 and common ratio x, with |x|<1, converges to 1/(1-x). When I do:

sum(x^k,k=0..infinity);

I get - 1/(x-1). Which is okay, but is there a way to force Maple to produce 1/(1-x)?

Thanks!

I have a function T = x*z(x), that I want to plot.

T should be drawn at the y-axis. But at the x-axis, there should not x be used, but z(x).

It shall look like:

T

¦

¦

¦

¦

¦-------------------------------------- z

Any idea how to do this?

BTW: I read, that Maple 16 has enhanced plotting functions. Is it worth the upgrade or are there just minor goodies?

I'm not sure if u have seen this website http://mathproblems.info/working.php#s99 but i wonder if there is a better way to solve this problem using maple:

#99

It is your task to deliever as much grain as possible from city A to city B. The cities are 1,000 miles apart. You initially have 10,000 pounds of grain. Your camel may carry up to 1,000 pounds and eats 1 pound of grain per mile traveled. You...

Hello,

I am trying to maximize

Hi im trying to get maple to output different combinations from a list of elements ( without using any packages ). 

for example I have a list :

  here each { } is one element and I need to do combinations in 3's soo I want it to return:
  order doesnt matter and I dont want repetitions.
1. {2,8} {2,4,6,7,8} {4,6,8}
2. {2,8} {2,4,6,7,8} {1,4,8}
3. {2,8} {2,4,6,7,8} {1,4,8,9}

Some calculus problems are worked out with the differential formatted as a function prime (f', G', etc.). How do I enter a function with the prime symbol so that Maple will treat it consistently? I recall entering f'(x) once in the legend of a Plot. The legend, as output, was in 2D format d/dx(f(x).

Another variation on my question is this: If I enter diff(x^2,x), or d/dx x^2 in 2D Maple, and calculate, I get 2x. If there a way to enter f'(x^2) to get the derivative?

I have a 2D ode system. Let the interior equilibrium points be x1 & y1. It is easy to get the Jacobian matrix with the code

> with(linalg);
> with(DEtools);
> J := jacobian([H, K], [x, y]);

where H & K are the RHS of odes. But I need the higher order terms by transforming x=x1+u, 

y=y1+v in matrix notation. Please give me the code. 

How to find the sum of the series sum(3^(-n)*floor((1/7)*2^(n+2)), n = 1 .. infinity) with Maple?

A more serious formulation is the following. Let us consider the cartesian product
 {1, 2, 3, 4, 5, 6, 7, 8} x {1, 2, 3, 4, 5, 6, 7, 8} as a subset of the plane xOy. What is its maximal subset which does not include three points belonging to a straight line? How to find this with Maple? I don't know the answer. My hypothesis is the number of the elements of that set is about 10.

Hello,

I have a very basic question: how to make a list of matrices?

For instance, this doesn't work:

for i from 1 to 4 do
M[i]:=Matrix(2,2,[[1,i],[i,i^2]]);

od;

Many thanks!

I am very new to Maple. I would be very grateful if someone could teach me how to write a command in an Maple worksheet to do the following:

Let u(x) be a function of x.

How can I introduce an abbreviation of derivatives so u1x (or u_{1x}) is the first derivative of u(x) with respect to x, i.e., u1x=\partial u/\partial x; u2x (or u_{2x}) is the second derivative of u(x) with respect to x, i.e., u2x=\partial^2 u/\partial x^2; u3x (or u_{3x}) is the third derivative of u(x...

Hello,

I was wondering if there is any function to represent matrices into linear equations. For an example,

if A= , B= and C=

Is it possible to simplify for example the expression

5^2 * 5^(1/2)

to get

5^(5/2) ?

PS: I am sorry if it was asked and answered, I can't find it.

I have defined a function q(t) in Maple as:

I then calculate it's 15th (!) derivative and assign it a name:

I wish to maximize this function on the domain [0,50], so do the following:

I use combinat[randperm] in MapleTA to get random permutations. But everytime I call the corresponding question bank, I get the same sequence of permutations. Even a randomize();with(combinat);randperm... doesn't change this behaviour but every single student should get different homeworks. Any idea?