Problem 1

A furniture manufacturer knows from experience that the cost of payroll and maintenance to run your shop s hours is a function of number of hours, s. The shape of the cost function in dollars and time in hours, C (s), determined by the manufacturer is:

C (s) = piecewise (s <16 and 0 <s,-s 3 +24 * ** ** 2 +20,16 s <= s, s * 20 +1748);

a) Define a function arrow that represents the cost of the manufacturer as a function of the operating...

Hello,

concerning this question

http://www.mapleprimes.com/questions/137333-Making-Specific-Calculation-Computable

I want to describe the problem differently: I start with a rational function (polynomial/polynomial) B in two indeterminates x,y which is already quite lengthy (about 80 lines on my worksheet) and want to perform several (algebraic...

Investigate the limit of: (1-cos(x))/x as x goes to 0.

More specifically, define: f(x)=(1-cos(x))/x

and demonstrate that the limit as x approaches 0 f(x)=0 as follows:

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

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

Following on from the 3D plots of the Earth globes in comments to an earlier post, here's some hacky code to grab longtitude and latitude.

(nb. This code attempts to send the IP address of your primary DNS to www.geobytes.com so don't run it if you don't want that action.)

if kernelopts(platform)="windows" then
   res:=ssystem("ipconfig /all"): res:=res[2];
   StringTools:-Search("Primary Dns Suffix",res);
   ans:=StringTools:-Split(res[%+36..%+70])[1];
else
   ans:=ssystem("hostname -y"...

I used Maple to calculate the Smith form of a 24 by 36 matrix.  

1. How can I find the column operations so that I can apply them to the identity matrix and obtain the change of variables matrix?  

2. If I can't find the column operations then is there a way to have Maple do the same column operations on the identity matrix that it used to find the Smith form of the 24 by 36 matrix?

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....

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.

Recently, I published the following paper.

"Calibration of a radiocarbon age", Nonlinear Processes in Geophysics, 19: 345–350 (2012).

The paper explains that all radiocarbon dates are inaccurate, due to an error in the handling of the statistics.

The paper has a Supplement, which includes a program to do the statistics correctly:

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 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