## how to find fermat point...

How do you find the fermat point of a triangle? (a point such that the sum of the three distances from each of the three vertices of the triangle to the point is the smallest possible.)

## How to connect to additional frames of machine ele...

When defining 2 frames as shown here

only one additional port is shown in the workspace. Mouse over indictes an array of 2 ports.

I could not find any examples or explanations how to connect to an array of frames.

Can someone connect two ridig body frames to it?

Box.msim

## Matlab to Maple...

Hello, i'm new in maple and i don't know how to programming in it. i need to write two For loop in maple to make a matrix. i can write it simply in Matlab as:

Regards

## Is it possible to open and execute Maple Flow Docu...

Is it possible to open or import, and execute Maple Flow documents in Maple 2021?

## How to extract the values of D(h)(0) for two diffe...

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convODEPlot.mwODEPlot.mwert/ODEPlot.mw .

## How get plot of a function from the numeric soluti...

restart;
with(plots);
g := 32.2;
k := 0.1;
theta := Pi/5;
v := 50;

ode0 := diff(x(t), t \$ 2) = 0, diff(y(t), t \$ 2) = -g

ode1 := diff(x(t), t \$ 2) = -k*diff(x(t), t) - x(t) - 1/6*x(t)^3 + 1/120*x(t)^5, diff(y(t), t \$ 2) = -g - k*diff(y(t), t) - y(t) - 1/6*y(t)^3 + 1/120*y(t)^5

ics := x(0) = 0, y(0) = 0, D(x)(0) = v*cos(theta), D(y)(0) = v*sin(theta)

dsolve([ode1, ics], numeric)

dsolve([ode0, ics])

display(plot([rhs(dsolve([ode0, ics])[1]), rhs(dsolve([ode0, ics])[2]), t = 0 .. 2], color = red), plot([rhs(dsolve([ode1, ics, numeric])[1]), rhs(dsolve([ode1, ics, numeric])[2]), t = 0 .. 2]), view = [0 .. 75, 0 .. 15])

Hi! Do you know maybe how to get this plot of ode1? I guess that computations are ok but I cannot get this plot.

## detérmination de la tangente à une courbe...

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.

## How would I solve the following relation in Maple?...

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.

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

## Find the equation of the line...

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!

## ExcelTools file I/O error...

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?

## Install Maple 2021 on Linux Fedora...

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.

## How can one put 2 print() statements on the same l...

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

Regards,
Matt A

## critical points ...

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});

tried using simplify(ctpst) /simplify(%)

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

## Changing the value of variable 'S' from 1 to 1.0 a...

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)
```

## Determine zeros, indifference curve of two levels,...

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

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