MaplePrimes Questions

Hello, I'm just beginning to appreciate and enjoy the use of math to solve practical problems I encounter while working on sound synthesis and music composition, my main occupation. I've had no formal training on math but take it as a hobby and try to tutor myself with the occasional aid of books, videos and a couple of really patient friends. As they're currently not around, I bring here the issue I'm now struggling with:

I'm trying to model a function which would output the time taken for a voltage controlled amplifier to raise or decrease its volume from one level point to another at a given scaled rate (which you can set in the device, but is not expressed in db/sec, only with an integer from from 1 to 99). When the beginning and end level points are the min. and max. that the device allows, the time (y) to rate scale (x) function plots a nice exponential curve (of the form y=b*e^-cx). However, when the min and max levels are respectivly augmented or reduced and the volume range the amplifier has to cross gets smaller, the time taken at a given rate changes not as steadily. So for this situation, for each of the scaled rates I want to consider I draw a curve: on the x axis I plot increments of the amount summed or substrated to the min or max levels, and continue marking time on y. And then I get an exponential of the same form as before but only for some values of x: the curve suddenly flattens and approaches a horizontal asymptote when approaching low values. Rather by chance I figured that something with the form y=1+e^-e^x might to the trick. My question is how to adjust that function to my plotted curve, given that I know the actual function that leads the simple exponential portion: 16.7*e^-0.01x for x=22 onwards, y=14.7 from x=0 to x=22.

Any help would be greatly appreciated

Consider matrices A and B below; how one can plot basis vectors of column space in 2d, and plane or line spanned by basis of row space in 3D?

with(LinearAlgebra):
A := Matrix([[2, 3, 5], [1, 2, 7]]);

ColumnSpace(A);
RowSpace(A);
 
B := Matrix([[6, 4, 2], [3, 2, 1]]);
 
ColumnSpace(B);
RowSpace(B);
 

How can I simplify the expression by applying equivalent infinitesimal  in symbolic computation?

For example,for small x,  limit(x/sin(x) + x, x = 0),  I want to get 1+x, rather than 1. In fact, how can I set an assumption that x is small and let the expression be simplified or replaced by other equivalent infinitesimal terms?

sol := {c[1, 1] = 18.00000000, c[1, 2] = -0., u[1, 1] = -.9000000000, u[1, 2] = 0., x[1, 1] = 3.600000000, x[1, 2] = -0.}
How we can assign each in solution1 individually as a Variable.

Could you help me solving this the problem with Maple, please? Thank you so much!

Dear all

I know how can I use gauss seidel to solve a linear system.

But, how can we add chebychev acceleration.

Thank you 

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.)

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

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:

can you please Help me to find out how to write this code in maple
Regards

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

Maple Worksheet - Error

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

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.

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!

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