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Relations between equations with 2 and 3 variables #218

Open TebelMeners opened 2 years ago

TebelMeners commented 2 years ago

About the author

Hello! I am a 10th grader currently studying for math competitions and I like math. I have participated in 4 international math olympiads and won 1 bronze and 1 honorable mention.

Quick Summary

I was studying simultaneous equations with 3 variables and am curious as to the relations between the 3 equations. I am curious as to what properties these 3 equations have and when do the equations intersect at one point, are dependent or don't intersect at all. And what properties do 2-variable are visible in 3-variable functions?

Target medium

I am hoping for a video format, due to it being the format that I believe is best for learning. I also will need someone who is able to do 3D graphs(this involves 3 variables) and displaying them(like spinning them, zooming into them, etc.) and also 2D graphs. In addition, since this is math, math functions will need to be shown(like derivation, integration and math formulas).

More details

I am going into this completely blind and I am open to exploring calculus and higher math. I have no idea what to expect from this adventure.

I will mostly relying on online books, internet and my math teachers though my school doesn't have amazing teachers but its much better than no guidance. And if anyone wants to give ideas I'd be more than happy to take a look.

Contact details

Take note that my timezone is UTC+8 and I have regular school from Sunday - Thursday. Discord: TebelMeners#8311 Feel free to comment :)

Additional context

If anyone wants me to elaborate on some stuff here, just comment here or DM me on Discord, I'd usually reply in less than 15 mins on discord if I'm not busy with school. I am also in the SoME2 discord server so you can ping me there.

I know I am a bit late but better late than never amirite :)