Maple 2021 Questions and Posts

These are Posts and Questions associated with the product, Maple 2021

Hey guys,

How can I create a bar chart or a column chart, with specific x values under the bars.

Would be great If someone could help me.

Thank you;) 

help under object it says  (in Maple 2021)

The above has not been true for almost a year. Since in Maple 2021 one can do o:-m() 

person_class :=module()
  option object;
  export m:=proc(_self,$)
      print("you called me");
  end proc;
end module;

o:=Object(person_class);
o:-m()

            person_class := Object<<1758956556512>>
                  o := Object<<1758955674784>>
                        "you called me"

I hope this gets updated in Version 2022,  with examples also. The notation o:-method() is hidden in help and could not even find it, but it is meantioned in some pdf file which I lost track of at this moment. 

On another help page titled Overview of Object Methods it briefly mentions alternative call but the link that is supposed to explain it does not work. (clicking on it, produces nothing. Stays on same page). I guess no one tried this link before shipping Maple. 

Is this link somewhere to access directly in the help page?

How can factorise a polynomial with complex roots, without showing their numerical values of the roots, but only their symbolical value.

For example I have:

factor(x^4 - x^2 + x - 1)

and it shows me the following factorisation: (x-1)(x^3+x^2+1) but I want to also factorise x^3+x^2+1 but the roots should be displayed symbolically without numerical values of these roots. Then how to implement this task?

In the book I am reading it's stated to use factor(x^4-x^2+x-1, I), but it doesn't seem to be working.

How do I write this in Maple?

Find points P and Q on the parabola y = 1 − x^2 so that the triangle ABC formed by the x-axis and the tangent lines at P and Q is an equilateral triangle.

Thank you!

How do I write this in maple?

Find the maximum value of l f"(x)l on the indicated interval. f(x)= sqrt1+x^2  [0,2]

Thank you!

How do I write this in maple?

The figure shows a circle with radius 1 inscribed in the parabola y = x^2 . Find the center of the circle.

Thank you!

Hello Dear Community

I was by pure coinsidence integrating a simple expression, f(x) = x (x^2 - 1)^5
The correct answer is F(x) = 1/12 (-1 + x^2)^6+ an arbitary Constant and if you expand F(x), you will get

F(x) = x^12/12 - x^10/2 + (5 x^8)/4 - (5 x^6)/3 + (5 x^4)/4 - x^2/2 + 1/12+ an arbitary Constant 

When I do the integration command in Maple2021 for f(x) = x (x^2 - 1)^5 , Maple2021 gives me the output in expanded form
F(x) = x^12/12 - x^10/2 + (5 x^8)/4 - (5 x^6)/3 + (5 x^4)/4 + x^2/2

Maple2021's output is missing the 1/12

I have uploaded my Maple-document regarding this issue to this link something_wrong.mw

Please do check this out and come back with a feedback since I find it disturbing that Maple2021 is giving an incomplete output for an integrating expression that is easy to solve in hand.

~~ Best regards

On my maple page i got also all the time typesetting info ?
Looked at the help page :NumberTheory,PrimeCounting

How to produce the graph of the prime counting function with the two approximations?

How do I write this out in maple?

Sketch the graph of y =x^2+7x+3/x^2 , locate all maximum and minimum values, intervals of increase and decrease, and inflection points.

Thank you!

How do I write this in maple?

Find the point on the parabola x + y 2 = 0 that is closest to the point (0, -3).

Thank you!

Graph the curve with equation y(y2 −1)(y − 2)= x(x −1)(x − 2)
At how many points does the curve have horizontal tangents?

Estimate the x-coordinates of these points.

Find the equations of the tangent lines at the points (0,1) and (0,2)

Find the exact x-coordinates of the points of these points.
Create even more fanciful curves by modifying the equation.

PLEASE WRITE STEP BY STEP IN MAPLE

How to get rid of the boundary

display(ellipse([0, 0], 2, 1, filled=true, color = red),size=[1000,500],axes=none);

or how to make the boundary the same color as the filled region?

 

Good day.

When I export an animated 3D (surface contour) plot to a gif format, the image is incomplete (please see attached file).

Can anyone suggest a way to reformulate the expressions so the animated plot can be exported to Powerpoint intact?

Thanks for reading!

MaplePrimes_Dec_5.mw 

How I can change this to smooth curve

I have not used Array much before. I made an array that has 3 elements, starting index is 0 and last index is 2.

I want each element in the array to be an empty list, so I can later add to it.  (since I do not know in advanced what size of list I need in each slot of the Array).

Array(0..2,[seq([],i=0..2)])

And this works in the code I am using. But the strange thing, each time I try to save the worksheet, I get Warning about saving Large calculation.

What large caclulation? The array is empty?

Even though the code is working, and I can add to each entry in the array lists OK and been using it OK, I think may be I am not doing something right.

How to correctly creat an Array from 0..N  and initialized each entry to empty list?

Maple 2021.2

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