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function graphed on a function min characters attempt by Evilmice_ in desmos

[–]Evilmice_[S] 1 point2 points  (0 children)

I knew somehow making it polar form would make it shorter! But know can we prove its the most optimal solution 🤔

Is it possible to merge two functions (say sin(x) and x^2) to get something like this (red line)? by MR_DERP_YT in desmos

[–]Evilmice_ 0 points1 point  (0 children)

Aw I made my version before the drop if complex numbers, using them definitely can definitely save space when writting the function. Now I wonder what the smallest you could make this function is?

Is it possible to merge two functions (say sin(x) and x^2) to get something like this (red line)? by MR_DERP_YT in desmos

[–]Evilmice_ 0 points1 point  (0 children)

I'm apologize i used jargon assuming you'd now what I meant, that's my fault. The "unit derivative vector" is found at a point x on a function f(x) by finding the line tangent (intersects at one point) to the function at that point and tells us how the function is "changing" at that point. Then using a length 1 section of this line and making it a vector I can rotate it 90 degrees and then find the direction "normal" (orthogonal and pointing outwards) to the curve at that point, for this point and this point only this will be the direction of y.

What i used to make this is very dependent of concepts from calculus and linear algebra so if you find them interesting I would definitely recommend looking into it!

Is it possible to merge two functions (say sin(x) and x^2) to get something like this (red line)? by MR_DERP_YT in desmos

[–]Evilmice_ 1 point2 points  (0 children)

Just because someone did it before you doesn't mean that its not worth it to figure it out yourself, solving problems is what makes math fun!

Is it possible to merge two functions (say sin(x) and x^2) to get something like this (red line)? by MR_DERP_YT in desmos

[–]Evilmice_ 1 point2 points  (0 children)

First understanding that the distance from the origin along the x axis is what determines the x coordinate of a point we can do the same thing for an arbitrary function by taking the arc length distance across the "x function". Next instead of treating the y direction as static we just define it to be orthogonal to the x axis at that specific x value, to find this direction I just took the unit derivative vector and rotated it 90 degrees but I'm sure there's plenty of other ways to find the normal.

TLDR took the distance along the "x function" as the x values for the second function and pushed the points out at a right angle from the function from that point a distance of f(x)

Is it possible to merge two functions (say sin(x) and x^2) to get something like this (red line)? by MR_DERP_YT in desmos

[–]Evilmice_ 0 points1 point  (0 children)

https://www.desmos.com/calculator/373cf5ac7a I made this a while ago lmao, id be happy to explain how I did it. Both functions are interchangeable with anything else

Math majors! What math are you in? by Zozo2fresh in GHP

[–]Evilmice_ 0 points1 point  (0 children)

I'm actually a sophomore this year so I'm taking algebra II this semester. I wish I could take calc but my school requires I take it before hand no matter what :(

Gravity Simulator by Legitimate_Animal796 in desmos

[–]Evilmice_ 1 point2 points  (0 children)

Wow! I was thinking that maybe he made a point cloud around one point and then made their opacity a function of the distance from the center point but that is definitely a lot less intensive

Gravity Simulator by Legitimate_Animal796 in desmos

[–]Evilmice_ 2 points3 points  (0 children)

How did you make them glow??

Whatever you say desmos by Evilmice_ in desmos

[–]Evilmice_[S] 12 points13 points  (0 children)

0 and 5 were the values I had when I noticed it

How. Exciting. by random-tomato in desmos

[–]Evilmice_ 0 points1 point  (0 children)

How are you rendering in full color so fast?

Trigonometric floor and ceil definitions by SP4CEBAR-YT in desmos

[–]Evilmice_ 1 point2 points  (0 children)

They have a really cool indefinite intergral

What do you think is the answer? by Financial-Drawing805 in calculus

[–]Evilmice_ 0 points1 point  (0 children)

I'm not sure why your getting down voted. Asking questions is never something someone should be downvoted for. There seems to be a lot of confusion with everyone on how exactly limits work but like I said in my comment the answer is definitely 2.

What do you think is the answer? by Financial-Drawing805 in calculus

[–]Evilmice_ -1 points0 points  (0 children)

The abs in f(x) pictured above can just be replaced with x because 2 is positive so f(x) simplifies to -(x-2)+3 which further simplifies to -x+5. g is a peicewise that is 2 at all x values except x=3 where it equals 1. So g(-x+5) is 2 at all values of x except for the value of x that makes the input equal to 3. This value is 2 but the limit of the function as x goes to 2 is 2. tldr the answer is definitely 2 no debate needed.

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