Maple 16 Questions and Posts

These are Posts and Questions associated with the product, Maple 16

I have a question regarding on how to graph and prove that csc ^2(theta)-cot ^2(theta)=1 our professor provided us with a very poor example, i have to graph the left side of the equation first with a 0 to 2*Pi x-axis and then graph the right side on the same plot. 

Could anyone help with solving this integral?

> evalf((∫)[-infinity]^(infinity)((∫)[-infinity]^(v)( uv)/(sqrt(2 Pi))(1/2+1/2 erf((1 )/2 sqrt(2) u))(1/2-1/2 erf((1 )/2 sqrt(2) v))(e)^(-((u^(2+v^(2))))/(2)) ⅆu )dv);

thanks,

Hello,

I need to plot M vs phi from the following ode. For this I am using implicitplot but unfortunately

I am getting empty plot. Please guide me through this issue.

Thanks 

eq1 := 1/(1-phi)^2.5/(1+4117/783*phi)*diff(f(eta),`$`(eta,3))+1/2*f(eta)*diff(f(eta),`$`(eta,2))

+M*(1-diff(f(eta),eta)) = 0;

bc:=f(0)=0,D(f)(0)=beta/(1-phi)^(2.5)*(D@D)(f)(0),D(f)(N)=1;

respar:=dsolve({eq1,f(0)=0,D(f)(0)=beta/(1-phi)^(2.5)*(D@D)(f)(0)},numeric,

Hi. I'm very new to maple, and got stuck on a task on my assignment. I'm supposed to find the area of the segment (gray area) with the diameter D as a function of h. Any help and pointers is appreciated, thanks. :)

 

Circle

The following example has been a cornerstone in the computer lab exercises for Calculus II:

a := n -> (-1)^n*arctan(n):
Limit( a(n), n=infinity ):
% = value( % );
/ n \ 1 1 1 1
lim \(-1) arctan(n)/ = - - Pi - - I Pi .. - Pi + - I Pi
n -> infinity 2 2 2 2

In the name of God

 

I have 2 worksheets open, in my maple16 screen

In one of them I do

save rrK,"ttKazem.m"

and can easily restart and after that read "ttKazem.m" in that worksheet

but in the other worksheet, unfortunately read "ttKazem.m" yields:

Error, Could not open 'ttKazem.m' for reading

 

That's really wonderfull. Any idea?

How to include/code/type such type of boundary conditions in maple?

Thanks

 

Hello,

1. Is it possible to create a function file in Maple and call the function(file) from the main program(like Matlab?). If yes, please give me an example case.

I want to create a function file which has the general input terms and call the function from another script file without copying/running all the code.

2. Is it possible to run 'recursive function' in maple?

3. How can I create library of my function files?(like in Matlab I can create...

Hi, I need to update a procedure prcLeastSquareLA so that it includes error estimate information as output in it. So far for the procedure I have this:

prcLeastSquareLA:=proc(data,degree)

local vars,y,A,V,k,e,i,j,v,c,lstVars;  

vars := seq(c_i, i = 0 .. degree);

y := unapply(`+`(seq((c_i)*t^i, i = 0 .. degree)), t);

 for k to nops(data) do 

e_k := y(data[k][1]) = data[k][2];

v_k := [coeffs(lhs(e_k))];

I would like to plot a parametric equation

y = 7at -t^2

x= t^5-(3+a)t^3-3

and vary the value of (a) between -3 and 3

i tried to use:

plot([seq((7at -t^2, t^5-(3+a)t^3-3),a=-3..3)],t);

but I just can't get it to work

any ideas :S

Mark

So, my code is this:

u := u1+(u2-u1)*JacobiSN((1/2)*phi*sqrt(s*(u3-u1)), k)^2;

r := 1/u 

where u1,u2, u3, s, and k, are just some constants

and here is where I think it's having problems 

Top := [r*cos(v), r*sin(v), 2*sqrt(s*(r-s))];
Bottom := [r*cos(v), r*sin(v)-2*sqrt(s*(r-s))]
figure(22) := plot3d([Top, Bottom], r = s .. 20, v = 0 .. 2*Pi)

It gives me this error: 

 

Error, (in plot3d...

How to extract affine terms from a differential equation after linearization?

Vanderpol Eqn:

diff(x[1](t),t)=x[2](t)

diff(x[2](t),t)=(1-x[1](t)^2)*x[2](t)-x[1](t)

 

To be precise, I linearized...

How to add markers to the plot?

 

like this (Mathcad)

http://hostingkartinok.com/show-image.php?id=463430d32fa17177980d7308df09ca2c

Hey,

I am trying to linearize a Statespace and extract the linear matrices from the solution. Using following example, can you explain how to extract the matrices a,b,c,d.

 

Hello everyone, new member here. I've been working with Maple 16/Mathematica 8/Matlab to find the determinants of some symbolic nxn matrices (a1,1 a1,2 etc). Matlab is able to do them quite easily but when they start getting too large it starts truncating them down to 25000 terms. Mathematica works like a charm but I want to beable to verify the results with Maple. Maple does great up to 7x7  but at 8x8 it seems to also truncate results like Matlab and past that...

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