Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Hi,

Q1) Could you pls tell me how can I show in maple the curve (x^2+y^2)^2=x^2-y^2 in the form of

x(t)=cos(t)/1+sin^2*t and y(t)=sint*cost/1+sin^2*t.

Q2) how can I express sin^2(4x) in terms of powers of cosx.

a) cos^3(3x)cos(5x) as a linear combination of cosines of multiples of x.

how can i solve matrix ?

for example :

Matrix(4, 4, {(1, 1) = 18, (1, 2) = -45, (1, 3) = 36, (1, 4) = -9, (2, 1) = 9, (2, 2) = -18, (2, 3) = 9, (2, 4) = 0, (3, 1) = 0, (3, 2) = 9, (3, 3) = -18, (3, 4) = 9, (4, 1) = -9, (4, 2) = 36, (4, 3) = -45, (4, 4) = 18})  

Hi 

Could uou pls tell me how to do a parametric representation of the curve in maple where curve is define as

(x^2+y^2)^2=x^2-y^2 . Secondly how to plot this curve.

m(x[i]) = product(x[i]-x[j], j = 1 .. N)              i <> j

ex:

for N=4

hey,i'm trying to divide the values i get using this 

y := 23.45*sin((360*(x+284))/365):

seq(evalf(y), x = 1..365); 

by some imported data....how do i do this?any good advice will be appreciated.Thank you in advance

Judith

How to find the sum
sum(tan((1/180)*(4*j-3)*Pi), j = 1 .. 45)

 explicitly? Of course, with Maple.

@ThU

Download Quaternion_Fractals_.mw

Not in the same league as the "Mandelbulb" pictures you may be referrng to, but a couple of years ago I messed around with plotting 3D Quaternions in Maple. Pictures in the attached worksheet

Samir

I've submitted an application to the Application Center: Great Expectations.  This is an interactive Maple document, suitable for instructional use in an undergraduate course in Probability.  The mathematical content is related to the Laws of Large Numbers and Central
Limit Theorem.  It requires no knowledge of Maple to use.

I'm happy to announce that, having retired from University of British Columbia, I've joined Maplesoft as a Content Developer.  Some of my work will be appearing in the Application Center from time to time, and I'll announce them here.  If you have any suggestions for topics you'd like to see in the Application Center, I'd be interested in seeing them.

Hello,

I am trying to solve a system of six equations with the command solve. Unfortunately I only get the message "Warning, solution may have been lost". If i try to solve only five equations, i get an answer, that could be right.

My questins is: Is there a mistake in the syntax of solve? Or, is my equations system wrong?

 

Thank you!!!

 

Maple code:

> restart;
> FZ := 0 = FLZ+F11Z+F12Z+F21Z+F22Z+F31Z+F32Z;

I've this task to deliver to my teacher, yet when i try to open up my maple file, it appears to be corrupted (i've no idea why) i used it last night without any problems? ...

 

The only part that opens is the headline...

 

Need assistance!

Rapport_1.mw

 

 

Ive tried several commands, but none of them will give me a response

Here are the points im working with:

u = (2, -3, 1), v = (-4, 3, 3), w = (2, 4, 6)

And here are the several commands ive tried to use, with "with(LinearAlgebra), with(geom3d)" implemented before:

1. 

volume([2, -3, 1], [-4, 3, 3], [2, 4, 6], parallelepiped)

> with(plots, display);
> volume;
display(parallelepiped, axes = normal, scaling = constrained, orientation = ...

I have 91 points and to take the sum of the y-coordinates, I do

sum('points[k,2]','k'=1..91);

 

But if I want to take the sum of the points on just the even indeces i.e k=2, 4, 6, 8, 10...etc, I try to do

sum('points[2k,2]','2k'=1..91)     

but Maple gives me an error. I'm doing something wrong here. Help me please me fix the syntax error!!

Hi,

I am using Maple first time to solve equations. Equations and error message are as belows:

> solve({a(3.05-c)^b = 0.7400000000e-4, a(3.10-c)^b = 0.1806000000e-3, a(3.75-c)^b = 0.5840000000e-4}, [a, b, c]);
Warning, solutions may have been lost

Any solution, what is going wrong?

 

Regards,

Nurul Islam

Have a piece of code:with(Optimization):


with(ExternalCalling):
MyTargetMultArgsFunctionExt := define_external('MyTargetMultArgsFunctionExt', 'MAPLE', x::(float[8]), y::(float[8]), 'LIB' = "maple_library.dll");
G := proc (x, y) options operator, arrow; MyTargetMultArgsFunctionExt(x, y) end proc;
dMyTargetMultArgsFunctionExtr0 := proc (x, y) options operator, arrow; x^2 end proc;
Minimize(G)

 

After which i obtain warning:

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