How should I find the roots for

5x^3-x^2+x-1=0

If I have a Polynomial of the form say 

c1x^{a1} y^{b1} +c2x^{a2} y^{b2} +... +cnx^{an} y^{bn}

Now I want to form a list say of the form

L=[[[a1, b1], c1], [[a2, b2], c2],.... [[an, bn], cn]] 

Kind help with a peice of code 

Hi,

Have the following integral to solve in Maple (2020):

Cap_Unit_Length := int((epsilon_0*epsilon_r*d*sqrt(1+(T*Pi*S)^2))/(epsilon_r*S*theta*tan(theta/2)+2*t),theta=0..Pi);

As Maple cannot find a closed expression, it returns the original input.  Is there any other approach in Maple I can use to attack this expression?  BTW, this is the expression for the distributed capacitance in a twisted wire pair.

Chris

Hello,

I would like to make a function of two variables. It seems that what I can find online on how onthers do it, does not work with my. Can someone help? Here is the document, but it is very simple. eq_of_two_var.mw

Dear all

I would like to plot two different functions

One constructed using piecewise and second function on the sme interval. 

The code run without error but I am not sure that its true, since we have two different function but in the graph we can not see the difference betweem them 

codexsqrr.mw

Thank you for your help

Dear all
I have a problem using unapply to construct all functions defined in each intervals.
If I use unapply to construct only two peicewises fuctions the code work well, but otherwise there is someting missing 
splineProb.mw

## using code like this, its run 
ff:=unapply
                  ( piecewise
                    ( x < eval( Xlist[2], NaturalCoeffs),
                      expand( eval( S[1], NaturalCoeffs) ),
                                           expand( eval( S[3], NaturalCoeffs) )
                    ),
                    x
                  );
 

but using code like 
 

unapply
                  ( piecewise
                    ( x < eval( Xlist[2], NaturalCoeffs),
                      expand( eval( S[1], NaturalCoeffs) ),
                     ( x < eval( Xlist[3], NaturalCoeffs),
                      expand( eval( S[2], NaturalCoeffs) ),

                      expand( eval( S[3], NaturalCoeffs) )
                    ),
                    x
                  );
does not run and return 
Error, `;` unexpected
 

Thank you for your help 

Hello, I was recently given a Calculus 3 assignment on Maple. Having no training or teaching, I watched videos and looked up possible routes to finding the solution. I have been working on this assignment the past couple days and could really use some help. The questions I am struggling with are posted below:

Equation given: r(t) = cos(t^3)i + sin(t^3)j + 2t^2 k

1. Use Maple to graph the tangent line at t = 0.8, and the path of the particle from t = 0 to t = pi/2 on the same graph. The line segment for the tangent line should be symmetric about the point of tangency.

2. Find the unit binormal vector when t = 0.8

3. Use Maple to find the normal vector when t = 0.8

4. Find the torsion when t = 0.8

5. Use Maple to graph the unit tangent vector at t = 0.8, the unit normal vector at t = 0.8, the binormal vector at t = 0.8, and the path of the particle from t = 0 to t = pi/2 on the same graph. All the vectors should have the particle's position at t = 0.8 for their initial point. (You are really graphin line segments of length 1.)

Let A a (linear) partial differential operator and f=f(x, y, t) a function of space (x, y) and time (t).
Let D_XY=[a, b] x [c, d], D_T=[0..e] and  d_XY the boundary of D_XY.
Is it possible, with Maple 2015, to solve numerically the pde Af=0 in the open domain  D_XY * D_T
with Dirichlet conditions on d_XY and initial condition f(D_XY, 0)?
It seems that the option 'numeric' of pdsolve doesn't work with more than 1 "non time" independent variable:
Error, (in pdsolve/numeric/process_PDEs) can only numerically solve PDE with two independent variables, got {t, x, y}

Nevertheles I seem to remember seeing this on Mapleprime (?)
If Maple 2015 can't do it, can Maple 2020?

Thanks in advance

• Remark: Af=0 is the heat equation with rho=Cp=lambda=1.
  I guess I could code the alternate directions method to transform  Af=0 into a sequence A_xf=0,  A_yf=0,  A_xf=0 ... of 1D diffusion equations but I'm a little bit lazzy and I'm waiting for your feedback before doing this.

dear all

I hope to write taylor expansion with remainder lagrange ..That is taylor lagrange expansion of a given function.

I tried 
series(cos(x),x=0,5) 

or taylor(cos(x),x=0,5) 
always the remainder written USING O(x^6)
I want the reminder depend on the derivative ..that is Lagrange Taylor expansion

Many thanks

Dear all

with(ExcelTools);

data := Import("datatest.xlsx");

I get flotting point like 15.0 , 25.0  in my data
How can get or transform data to integer ( without floating point)  that is instead of 15.0  I would like if possible to obtain 15 

Many thanks

Often times I run into calculations like these:

Where d denotes the exterior derivative. Now I know that it is possible to compute the exterior derivative of a function (using the DifferentialGeometry package). But is there a way to compute and simplify them with tensor products as above?

dear all 
I need to plot many curves on the same  figure. 
with(plots):
for j from 1 to 6 do 
pf[i]:=plot(f, x = a[i]..a[i+1]);
end do 
How change the following line so that I can plot many curves like 20 or more, using sequence or someting similar
display(pf[1], pf[2],pf[3],pf[4],pf[5],pf[6]})

many thinks

Dear maple users,

Greeting for the day.

I have some data in an excel file. How to plot the excel data in contours with labels.

Also, how to show the x-axis range =-1.5..1.5 and y-axis range = -0.5..1 with the contour sequence -2..2.

XLdat.xlsx

waiting for your reply.

Please see the figure for the model plot.

Hello friends,

I have an image in black and white and I wanted to compute and plot the intensity distribution histogram of it. So I did it with the command PlotHistogram, here's the output:

> PlotHistogram(Lena, 256)

I established the number of buckets to 256 but I don't see them at the x-asis, and I would like to see them for clarity as I don't understand the scale that is used by default. Could you help me achieve this and maybe also understand the scale used by default?

Thanks a lot.

I use nprintf to create greek characters as strings so that I can print them using printf.  But here is the strange behavior:

gk_Omega1 := nprintf("#%a", 937);
gk_Omega2 := nprintf("#%a", 937);

printf("%s %s", gk_Omega1, gk_Omega2);

does not print the same.  The gk_Omega1 is fine, but the gk_Omega2 prints "#937" instead of the the greek Omega character.

Does anyone see why this is?

Thanks, David