with(VectorCalculus):

SetCoordinates(cartesian[x,y,z]):

TangentLine(z = f(r, theta), r = a, theta = b, coords = cylindrical[r, theta, z]) . le resultat de maple est une équation en x et y comment expliquer ce resulta s'il vous plait et merçi beaucoup.

Hello there,
I'd like to know, if there's any way of testing these following relations on Maple.
I've tried to look at the assume command, but without succes.

I'll link the tasks below as an example:

Text translation:
f(x) is given as cos(x). Show that |f(x)-P(x₀)| ≤ |x-x₀|, when x is a real number

Please help me solve the following problem with Maple commands:
Determine the equation of the line d, knowing that d passes through the point A(1,-2,3) and intersects both lines d1:(x-1)/2=y/1=(z+3)/ -2 and d2:(x-1)/-1=y/1=(z-3)/2. Thank you very much!

Any idea why I can't write Excel output to my standard Documents directory?

Writeout to a different directory outside seems to work.

Any specific Windows rights that need to be given to a directory for writeout?

My OS is Linux/Fedora 35.

Without knowing that Feodra is sadly no more officially supported (it used to be the case a few years ago as I was using it on Fedora) I purchased a standalone license of Maple 2021 and  downloaded the Linux installer but am unable to run the file

Maple2021.2LinuxX64Installer.run

from command line (typing 

% sh ./Maple2021.2LinuxX64Installer.run

produces the error "can't execute a binary file") or by clicking on it ("no software installed to run this file").

Before returning the product, I looked at this page to find a possible workaround:

https://faq.maplesoft.com/s/article/Maple-is-not-activating-on-64-bit-Linux?language=en_US

where some tips to install Maple on non-officially supported Linux  os.

I installed lsb packages so that typing:

lsb_relase -a

outputs

LSB Version:    :core-4.1-amd64:core-4.1-noarch:cxx-4.1-amd64:cxx-4.1-noarch:desktop-4.1-amd64:desktop-4.1-noarch:languages-4.1-amd64:languages-4.1-noarch:printing-4.1-amd64:printing-4.1-noarch
Distributor ID:    Fedora
Description:    Fedora release 35 (Thirty Five)
Release:    35
Codename:    ThirtyFive

Anyone has succeeded to install Maple 2021 on Fedora? Thank you in advance.

Simple question

Got stuck

tup_10_g_trying.mw

Want output to look like - 

tuple10(50,12,14,0,0,0,0,0,0,0,0)

1 5 17 19
2 17 29 31
3 29 41 43
4 47 59 61

Please assist.
Regards,
Matt A

x := 'x';
y := 'y';
f := 9*x^3 - 7*x^2*y + 8*x*y^2 - 6*y^3 + 3*x^2 - 3*x*y + 4*y^2 - 3*x + 9*y - 7;
critical points of f are:

fx=diff(f,x);

fy= diff(f,y);

ctpts= solve({fx=0,fy=0},{x,y});

Answers are in radical form, wish to simplified way.

tried using simplify(ctpst) /simplify(%) 

kindly help me in obtaining the simplified answers either real or complex or both

I wrote a small code to solve the equations. The problem is whenever i change the value of variable 'S' from 1 to 1.0 maple produces different solution. It means that i am only right solution for S=1. I can't get right solution other than S=1. I haven't faced this kind of problem before. Can anybody take a look? Is there something wrong with the code? Thanks!

restart:with(PDEtools):declare(f(eta),theta(eta),quiet):S:=1:
f(eta):=sum((q^i)*f[i](eta),i=0..16):
eqa:=simplify(diff(f(eta),eta,eta,eta)+(q*g*((f(eta)*diff(f(eta),eta,eta))-((diff(f(eta),eta))*(diff(f(eta),eta)))-(S*diff(f(eta),eta))-(((S*eta)/2)*diff(f(eta),eta,eta))))):
f[0](eta):=(alpha/2)*eta^2+eta:
for m from 1 to 8 do eq[m]:=coeff(eqa,q^m) end do:
for m from 1 to 8 do (simplify(int(int(int(((-1)*eq[m]),eta),eta),eta)+f[m](eta))):f[m](eta):=simplify(%) end do:
a1:=simplify(sum(f[n](eta),n=0..8)):
b1:=simplify(subs(eta=1,a1))=(S/2):b2:=simplify(subs(eta=1,diff(a1,eta,eta)))=0:
sys:={b1,b2}:solution:=fsolve(sys):s1:=solution[1]:s2:=solution[2]:
alpha:=rhs(s1);g:=rhs(s2);beta:=g^(1/2);
c1:=simplify(a1):c2:=diff(c1,eta,eta):c3:=subs(eta=0,c2)

Dear community,

I'm a taxation student and trying to figure out maple more or less successfully for a research project... My aim is to find the indifference curve of the two levels S_TEV and S_P. As its probably not easy to find the formula, I'd alternatively like to approach the indifference curve numerically.

These are the basis codes:

E := 'E'
h := 4                     
m := 0.035
g:= h*m            
k := 0.15
a := 0.25;
F_ANR := 4*m;
r:= 0.1;
T := 'T';
ESt := piecewise
(E < 9984, 0,
E < 14926, (1008.7*(E - 9984)/10000 + 1400)*(E - 9984)/10000,
E < 58596, (206.43*(E - 14926)/10000 + 2397)*(E - 14926)/10000 + 938.24,
E < 277826, 0.42*E - 9267.53,
0.45*E - 17602.28);

Er := E + (E - ESt)*r

EStr := piecewise(Er < 9984, 0,
Er < 14926, (1008.7*(Er - 9984)/10000 + 1400)*(Er - 9984)/10000,
Er < 58596, (206.43*(Er - 14926)/10000 + 2397)*(Er - 14926)/10000 + 938.24,
Er < 277826, 0.42*Er - 9267.53,
0.45*Er - 17602.28)

srp := EStr/E

r_p := r*srp

S_P := ESt*(1 + r_p)^T

EStk := piecewise(K < 9984, 0,
K < 14926, (1008.7*(K - 9984)/10000 + 1400)*(K - 9984)/10000,
K < 58596, (206.43*(K - 14926)/10000 + 2397)*(K - 14926)/10000 + 938.24,
K < 277826, 0.42*K - 9267.53,
0.45*K - 17602.28)

r_tev := 0.29*r

K := (0.71*E*(1 + 0.71*r)^T)*0.6

stev := EStk/K
S_TEV := E*(0.29*(1 + r_tev)^T + 0.71*(0.6*stev))

plot3d([S_TEV/E, S_P/E], E = 0 .. 500000, T = 0 .. 15, color = [white, black])

The plot shows the two levels. Id like to derive the indiffernce curve from this plot (intersection of S_TEV and S_PE).
Starting with probably Diff_S := S_TEV - S_P?

Can someone please help me with finding the right codes? I'm lost.... (eg. solve function for S-TEV-S_P=0; finding the right data frame for Diff_S:=0 or almost zero dependent on E and T, i.e. dataframe of E, T and S_TEV and S_P) so that I can plot (3D) all S_TEV = S_P depending on E, T.

Id be incredibly thankful for any help. It would literally safe my thesis!
Thank you so so much in advance!!
Rebekka

When trying to evaluate the following line with values where units are attached Maple chrashes.

(add(eval(F, {x = XY[n, 1], y = XY[n, 2]})^2, n = 1 .. 4), location)

Problem_units.mw

What is the problem here

Dear helpfull community. I stumbled over a problem which I cloud not sort out even after hours of trying to find the error I do. 
A simple IF statement does not work when I attach a unit to a value.

tt := 80*Unit('knot');
if tt < 100*Unit('knot') then
    lprint(got*it);
end if;

Surprisingly Maple can evalue the expression if a use a = instead of the <. File should be attached.

Please can anyone tell me what I did wrong.

Download Problem_IF.mw

I am still new to Maple and I don't know how to exactly use it. Is it possible to draw a triangle given the length of the three sides?

If so, how do I do it?

Thanks is advance

I have my code in mla. Using try/catch, I am able to capture an error that happend deep in some call chain. But it is hard to know the exact location where this error happened.

I use StringTools:-FormatMessage( lastexception[2..-1] inside the catch clause to print the exception. But this only prints the message. It does not tell me exactly which line/function/module this happened.

Is there a way to display these information?  Using debugger and stoperror all did not help at all. It does not stop at the line where the error happened. not sure why. I tried it many times. may be I am not using it correctly?

Is it possible to display may be the trace of the calls inside the catch of the try? To know the actual statement that generated the error? Now each time I get an exception, I have to step into the debugger line by line until  I get to the place where the error was which is time consuming. Here is a MWE

restart;
A:=module()  
  local B:=module()
     export foo:=proc(n)
         1/n;
     end proc;
  end module;

  export main:=proc()
    try
       B:-foo(0);
    catch:
      print("error happened", StringTools:-FormatMessage( lastexception[2..-1] ));
    end try;
  end proc;

end module;

And now

    A:-main()

                "error happened", "numeric exception: division by zero"

I'd like to get more information than the above as I said. Line number/proc name/module name or stacktrace showing the calls made up to where the exception started (similar to output from where command in debugger).

The above was done in worksheet. My actual code in inside .mla build from lots of .mpl files.

Maple 2021.2 on windows

Does an API involving Maple exist for trading stocks? I am interested in creating a trading bot that uses the Maple engine.

Why GenerateMatrix could not give out the coefficient matrix of the equations in terms of third order vector?

Download GenMatrix.mw