Hello everyone,

Even using the command "discont=true", some of the functions I plot still present discontinuities, but some of them do not present.

How can I fix this? This one file ilustrates perfectly the problem.

file_discont.mw

Sorry for bad english.
Hello. I can not realize such a thing. There is an equal tetrahedron NET on the plane. Choose a point on the edge and start a vector from it (the sum of red vectors with some integer coefficients). We obtain a closed geodesic. Depending on the coefficients, the geodesic will intersect the edges and faces in a different sequence. How to unNET into tetrahedron and so that the geodesic is displayed on it? Thank you in advance.

When I try to get a higher resolution plot using numpoints, the lines are jagged and look lower resolution.

You can see the difference, the first does not look anti-aliased whil ethe second does(although the 2nd looks far better on my comp)

A way to define a N *N matrix with the help of loop 

with(inttrans):
sinc := x->piecewise(x = 0, 1, sin(Pi*x)/x/Pi):
S := x->sinc(x):
SE := x->sinc(x)*exp(-x^2):
plot(abs(fourier(SE(x),x,s)),s=0..5)

works fine for S but when trying to plot SE I get

Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct

I simply want to plot the fourier transform of a function so I can see it's frequency response. Maple seems to be breaking for more complex functions. It seems to be doing this when it can't evaluate the function exactly, which I don't care for plots.

Hi

Let s_n be the number of ternary strings (of 0s, 1s and 2s) of length n that have no
adjacent even digits.
For example, s_0 = 1 (the empty string),
s1 = 3 (the strings 0, 1 and 2),

while s2 = 5:  01; 10; 11; 12; 21;

We can compute by hand  Find s3; and we obtain 11
My question how can use maple to get a general recurrence relation for s_n. 

many think for your help

Give the following functions find Domain, Range, Possible Asymptotes, Intercepts, Critical Points, Intervals of Increase, Decrease, Relative and Absolute Extrema, and Concavity.

A) f(x)=x(x^2-6x+8)

B) f(x) =x^3/4 -3x

After two days of trying to take the Jacobian of a multi-variable mapping in Maple, I'm still finding no way. Here is an example of what I mean by "multi-variable mapping":

(x,y) -> x^2-y^2

Every AP high-school student knows how to take the partial derivatives of that, but Maple's "Jacobian" feature doesn't work on mappings. It only works on expressions.

So I spent today trying to leverage off the "D" feature, only to find it rendered useless by bugs: https://mapleprimes.com/questions/227007-How-To-Take-Partial-Derivative-Of-A-Mapping

It took me less than two days to do it in Mathematica, by way of comparison.

On the website, they show a photo of a man elated to be doing math in Maple, but that's not how it's gone for me. I'm cursing outloud, and my blood pressure is high. I'm angry that I lost money on a product that can't take the Jacobian of a mapping, and I'm angry that I lost two days of my life doing tedious debugging while paying money instead of getting paid for my work.

Maple pays math PhD's to release a commercial CAS that can't take the Jacobian of a mapping. So much for the value of a PhD.

I need to find the intersection of 3 planes.

I managed to get the intersection using LinearSolve but I keep getting an error when I try to plot out the planes using plot3d. What can I change in the commands for it to work?
 

Download problem.mw

Here's how to break Maple's 'D' function:

~$ cmaple mapleBug.mpl
    |\^/|     Maple 2018 (X86 64 WINDOWS)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2018
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> D[1]((x, y) ->x^2-y^2);
                                 (x, y) -> 2 x

> D[2]((x, y) ->x^2-y^2);
                                 (x, y) -> -2 y

> with(VectorCalculus):
> assume(x, 'real');
> assume(y, 'real');
> D[1]((x, y) ->x^2-y^2);
                                  (x, y) -> 0

> D[2]((x, y) ->x^2-y^2);
                                  (x, y) -> 0

> quit
memory used=2.4MB, alloc=8.3MB, time=0.06

~$

What if a person needs to have these lines:

> with(VectorCalculus):
> assume(x, 'real');
> assume(y, 'real');

and then he wants to take partial derivatives? Not possible? Once you load VectorCalculus and declare x and y real, Maple stops doing partial derivatives? Why.

Sorry,

I have been away from Maple for a year.
Then, when I used op command, I am puzzed to notice the results were different from those I know.

>op((x+5)^2*(x+y));
      _EXPSEQ((x+5)^2, x+y)

Result I know is 

        (x+5)^2, x+y

Has a modifire such as _EXPSEQ   automatically come to be attatched?
Or, can I have maple express it  in the form I know:  (x+5)^2, x+y?

Thank you in advance.

taro

A mathematical friend wrote to me recently with the following problem:

a + b + c = 1

a² + b² + c² = 2

a³ + b³ + c³ = 3

Find the values of  a^4 + b^4 + c^4 and a^5 + b^5 + c^5.

Note the question doesn’t ask for the values of a, b and c, but can you find them?

Hi all, I would be most grateful if I could get some help with solving the tasks below using Maple.

Given the function: mx''(t)+cx'(t)+kx(t)= F_y(t)

1. Rewrite the equation above to a system of 1. order differential equations, by defining the two variables x_1(t) = x(t) and x_2(t)=x'(t) (Hint what is x'(t)?) This gives the first differential equation in the system. What is x_2'(t)?
    
2. Write the equations as a linear system when the outer force F_y(t) is the influence and the position x_1(t) is the answer, in other words give the system matrix A and the vectors b and r.
    
3. I'm given the constants m = 5kg, c = 3Ns/m and k = 20 N/m and I'm trying to find the transfer function of the system.
    
4. Give the systems transfer function H(s) and draw the graphs for the amplitude and phase characteristic.

Thank you!

I have triangle TAD. Now I want to take any point inside the triagle TAD. How can I take it? I tried
 

restart; 
with(Student:-MultivariateCalculus); 
A := [1, 2, 3]; 
DD := [-2, 1, 0]; 
T := [1/2, 1/2, 3/2]; 
P := Plane(T, A, DD); 
GetRepresentation(P)

I got the quation of the plane TAD is
 

-3*x-3*y+4*z = 3

With the point P(x,y,z). What is the condition of x, y, z?

Given the following functions and respective intervals graph them and determine all values of c in the interval (a,b) such that

f'(c) =f(b)-f(a)/b-a (apply the Mean Value Theorem) 

 Question 1: f(x)=x^3-2*x      [0,2]

 Question 2 : g(x)= cuberoot(x-3)^2     [-3,4]

Please HELP!!!