Hi,

I am trying to correct this question for my students, but I would like to include a pedagogical graphical illustration to support the idea that, for the area of triangle BCS to be minimal, the height (SM) — where M is the midpoint of [BC]— must be perpendicular to the plane Π at point S.

The code provided in the appendix does not clearly convey this idea.

Any ideas or suggestions would be very welcome.

Thanks

bac23IllustrationEspace.mw

Hi,

For a pedagogical purpose, I am trying to build an animation that illustrates the connection between:

• the area under the curve of a probability density function, and

• the cumulative distribution function of a random variable.

The idea is to let a bound x vary and show simultaneously:

• the accumulated area under the density curve up to x;

• the corresponding value of the CDF .

My goal is to obtain a visual representation that helps students clearly understand that the cumulative distribution function represents the accumulated area under the density function.

Do you have suggestions on how to organize this cleanly in Maple, possibly with synchronized animation or an interactive visualization?

Thank you very much for your help.

Q_CDF_PDF.mw

Hi,

For a pedagogical purpose, I am trying to illustrate the orthogonal projection H of a point A on to a plane P1

I constructed the line l1​ passing through A and perpendicular to the plane P1
However, in the graphical visualization, the line does not appear to be perpendicular to the plane. Visually, it gives the impression that the line is not orthogonal to the plane.

Do you have any idea what might cause this effect?

Thank you for your help.

Q_Espace.mw

Hi,

I am trying to reproduce a polar curve, as shown in the attached picture.
I have tested several polar expressions and different plotting options in Maple, but I can’t manage to obtain an exact match, 

If you have any ideas about a possible polar equation, a combination of functions, or plotting parameters (sampling, domain, polarplot options, etc.), I would be very grateful.

Thanks in advance for your help!

Q_Polar.mw

Hi

I’m currently trying to animate a graph with about 50 vertices of this type, and I was thinking of using the GraphTheory package for that purpose.

If you have any suggestions or possible directions to explore, I’d be very happy to hear them.

Thanks again for all the helpful tips and support — they’re truly appreciated