MaplePrimes Questions

Regards, I am conducting independent research in my university and I was recomended to use this software but since I am more familiar with matlab it feels harder to use maple and I'm making many mistakes.

My question is how to solve the following equation w(xi) = a_0 + a_1 * xi + a_2 * xi^2 + a_3 * xi^3 + a_4 * xi^4

So I defined xi = x/L

and gave some boundary/initial conditions for this equation(don't know if this is right)

w(0) = 0 : w(L...

Trying to create multi-dimensional geometric brownian motion by using:

W := GeometricBrownianMotion(Vector(N, 1), Vector(N), B.B^%T);

but receive the following error message:

Error, (in Finance:-GeometricBrownianMotion) invalid input: ProcessOptions expects its 1st argument, x0, to be of type realcons, but received Vector(2, {(1) = 1, (2) = 1})

The vectors and B.B' matrix are fine, because

W := BrownianMotion(Vector(N, 1), Vector(N), B.B^%T);

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.

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....

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.

 

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