I have a curve Tractrix: x(t)=1/cosht,y(t)=t-tanht

how I do?

• Find the length of the tangent line from the tangent point to the asymptote
• find the area between the curve and its asymptote
• find the length of the curve from x-axis to a point on the curve
• find the slope of the tangent line at any point along the curve

I hope you can help , its very important to me

kawakib

I'm working with some rather complicated sums involving absolute value, I'd like convert the sum into a piecewise defined function. For example

consider the line y=-x+1 on xy plane. the shortest line from the origin to y=-x+1 intersects with it at (x*,y*)=(0.5,0.5). Confirm this result by formulating and solving and optimization problem. 

I want to solve the position of a bal with a variable angel of the start velocity. I want to know which angle I have to take when the ball must be in a fully known position (5.44 , 1.60).I must also take the friction into account.

Therefore I have a system of equitations that I can solve with dsolve if I fill in the angle (in degrees).

> dsolve(eval(stlsl,angle = angeltest), numeric);

It gives me back values in x(t) and y(t). But know I want to make...

I need to plot a discontinous function based on a previous discontinous function described by the picture:

Hi Mapleprimes,

The nextprime(n) function will give the next prime, given n.

Suppose I want the 8th next prime so how can I find the 8 th next prime quickly?

I guess I could find the ones in between, but maybee there is a better way.

n  nextprime(n,8)

2          23

3          29

5          31

Hi.

I need something to use Maple for solving Finsler equations and I heard mathematications use Finsler package based on Maple but I couldn't find any information about it? Who can help me

Is there some way to do this?  I am hoping to export the plots to x3d files with the ultimate goal of sending the files to a company that can print them on a 3d printer.  (for example, Shapeways http://www.shapeways.com/  ) 

Attached are results I obtained in MAPLE 12.  Can anyone explain the contradiction?

In short, if I sum from n = 0 to some integer I get a FALSE when testing the equality, which is what I would EXPECT.  However, if I change the integer to a variable to represent that integer such as m--> the result is TRUE?

Note the change in the variable of beta to alpha inside the series expression within the parentheses.

regards

Hi,

I would like to know if there are any command that can generate the first n terms of the fourier series expansion of a piecewise continuous function ( and/or its odd/even extensions). I am looking for a command similar to what the taylor( ) command does for Taylor series.

I found some references on packages such as "OrthogonalExpansions" and "Fourier" none of which are avaliable with a standard Maple installation. If user-defined packages are my only option,...

Hi,

I have a problem with "subs" command in maple. When I use it the outcome does not show only the final result. It shows the (middle operations=final result).

For example, suppose that v(t)=x^2+1 is a function obtained from some calculations and L:=h*u(t). WhenI use: f:=subs(u(t)=v(t),L); it shows: h*u(t)=h*v(t)=h*(x^2+1). I want to show only the final results: h*(x^2+1). It make a problem in my next calculation in solving some differential equations.

Download lattsum1.mw

Write a procedure that determines the solutions of a quadratic equation from inputs a, b and c by using the discriminant and the quadratic formula. The quadratic equation procedure should be able to solve all cases: invalid input, linear case, real and complex roots. The procedure should also plot the given equation.

Hi!

I am bothered by an error that I don't understand. I am trying to write a procedure to solve numerically a delay differential equation "step by step" (for example y'(t)=y(t-1))

here is my code

restart;

y[0]:=t->t; #my initial condition on [-1,0]

p:=dsolve({D(x)(t)=y[0](t-1), x(t0)=x0}, x(t), numeric, parameters=[t0, x0]);

p(parameters=[0,y[0](0)]);

y[1]:=t->op(2,op(2,p(t)));  #y[1](t) is the value of p(t) but in a "readable" format

Hello, I am new to maple and trying to teach myself as i go along. I am trying to plot a paramteric for a puck on a fristion less table that spins for differnt v_{o values. Here is my code: puckontable.mw}