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Questions tagged [desmos]

A service that has several calculators and teaching material for Mathematics, with its most prominent feature being a graphing calculator that is available as an app and on a website.

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How do I simulate a beam/particle bouncing off the inside of an ellipse in Desmos? [closed]

I have graphed an ellipse based on two focal points locked to the x-axis. I'm trying to figure out how to make the beam I made inside the ellipse bounce off of the inside surface and change trajectory,...
Ivan Jones's user avatar
-1 votes
1 answer
57 views

How to add labels into Desmos [closed]

Hi I believe this is Desmos 3d how to add labels into my project for any of my equations? I want to write notes underneath how to do it?
David 's user avatar
  • 99
3 votes
0 answers
54 views

How should I keep arc length equal between multiple points on a parametric curve?

I made this thing in desmos: https://www.desmos.com/calculator/na9sehjskk The distance between points changes depending on the speed of the points. Is there a way to keep the distance between them ...
aaaaaaaa1234564's user avatar
3 votes
2 answers
111 views

Why does Desmos give a small, nonzero value for $\sin(5\pi/6) - 1/2$?

I type $\sin(5\pi/6)$ and it says $0.5$, which is completely normal. However, when I add "$-1/2$," the result is $−5.5511151231×10^{-17}$. Why is it happening and am I doing something wrong? ...
Alex's user avatar
  • 43
2 votes
1 answer
57 views

Randomly Generating Real-Rooted Polynomial Equations

I need a simple function to generate real-rooted polynomial functions to demo my Desmos Aberth-Ehrlich rootfinding implementation. My current function is as follows: Let $n \in \mathbb{Z}^+$ be the ...
James Baw's user avatar
1 vote
2 answers
90 views

$x^x$ graph freaks out

So I was goofing around in desmos when I plugged the function $f(x)=x^x$ And noticed that desmos shows only the positive part of the graph. Why does this happen. The function has real values. Can you ...
ShrekLover's user avatar
5 votes
0 answers
85 views

Desmos not plotting the obvious inequality correctly? [closed]

I was checking the subadditivity of the function $f\colon x\mapsto \min(1, x)$, i.e., whether $f(x + y)\le f(x) + f(y)$ and was expecting that the entire first quadrant would be colored. However, the ...
Atom's user avatar
  • 3,983
2 votes
4 answers
125 views

Graphing $(\lfloor x \rfloor + \lfloor1-x\rfloor)$

$\lim_{x\to0+}(\lfloor x \rfloor + \lfloor1-x\rfloor)$ $\lim_{x\to0-}(\lfloor x \rfloor + \lfloor1-x\rfloor)$ I tried to solve by graphing $(\lfloor x \rfloor + \lfloor1-x\rfloor)$ Graph of the ...
Ak9848's user avatar
  • 35
0 votes
1 answer
52 views

Parametric equation of inward pointing half sin waves

Parametric equation of inward pointing half sin waves I can create a circle in red and I can create a sin wave that goes around a circle in green. Parametric equation: ...
Rick T's user avatar
  • 457
0 votes
0 answers
122 views

three-dimensional pixel

If we have some function, for example, $$y = ix^2$$, we can express that, (or any) function ($x,y$) with some kind of three-dimensional pixel ($t$ represents the pixel base whose length can be changed,...
Srbin's user avatar
  • 29
0 votes
1 answer
56 views

step function question: What tools can be used to study it?

Consider the step function $$A(x)=\sum_{n=1}^\infty e^{\mathrm{floor}\bigg(\frac{\log n}{\log x}\bigg)+\mathrm{floor}\bigg(\frac{\log n}{\log (1-x)}\bigg)} = \prod_{\mathrm{ p~ prime}} \frac{1}{1-e^{\...
zeta space's user avatar
1 vote
0 answers
310 views

Is there a way to label points in 3D Desmos?

So I am working on making a cube in Desmos 3D with labeled vertices. If anyone would like the link to the Desmos 3D graph, here it is. The only problem is, I am unable to label the vertices for some ...
CrSb0001's user avatar
  • 2,630
2 votes
2 answers
136 views

How do the graphs of the "Birthday Probability" functions work?

The question was to find the probabilities that: At least two people have the same birthday Only two people have the same birthday Nobody has same birthdays in a room of n people. I did find the ...
AltercatingCurrent's user avatar
1 vote
1 answer
85 views

How do I plot $W(z^2)W(1/z)$ where $W(z)$ is the product log function and $z=x+yi$ in Desmos 3D?

So I was trying to plot$$W_0(z^2)W_0(1/z)$$where $W_0(z)$ is the product log (Lambert W, principal branch) function and $z=x+yi$ in Desmos 3D (since Desmos recently released a 3D version which is ...
CrSb0001's user avatar
  • 2,630
2 votes
0 answers
58 views

I'm a bit confused on how to linearize an Exponential Graph

I've seen other people answer questions on how to do this, I tried it and it didn't work. As of right now, I'm using the following desmos graphs. Desmos, Exponential Graph Desmos, Linearized ...
Yashwak's user avatar
  • 15
0 votes
1 answer
318 views

How can I plot a line vector in desmos?

If I go to desmos calculator and type for example 5cos(45),5sin(45) a point appears at 3.5, 3.5. I want this to be a line starting from the origin 0,0 but cannot ...
Doug Fir's user avatar
  • 2,266
0 votes
1 answer
103 views

How to convert this shape/equation into a Parametric Equation please?

From my understanding, but please correct me if I am wrong, this equation is implicit (See the attached screenshot). However, the goal is to create an identical (or similar) shape that is defined ...
C_Y's user avatar
  • 1
0 votes
2 answers
676 views

How do i plot a square wave in Desmos [closed]

I'm studying Fourier series and i'm using Desmos to graph the results and it does look like its approximating towards a square wave but is there a way that i can just graph a square wave in desmos? ...
WIWKOTFD's user avatar
0 votes
1 answer
173 views

Is it possible to rewrite the B-Spline Basis functions nonrecusively

B-Splines have a recursively-defined basis function $N_{i,j}(t)$ as shown here: $$ \newcommand{\defeq}{:=} N_{i,j}(t)\defeq\frac{t-t_i}{t_{i+j}-t_i}N_{i,j-1}(t)\frac{t_{i+j+1}-t}{t_{i+j+1}-t_{i+1}}N_{...
CATboardBETA's user avatar
3 votes
2 answers
342 views

How can you make a decimal point for a number display on Desmos?

I have this Desmos graph which is a number display. You type a button and that number gets displayed. I'm thinking about turning it into a calculator, but first I need a decimal point. (Also the ...
The_Animator's user avatar
3 votes
1 answer
839 views

Why does Desmos not render graphs like this properly?

I was trying to show some students the graph of $y=4- \ln (2-x)$ today on Desmos. Unfortunately we can see from the picture below that the graph does not render correctly around the asymptote and ...
PhysicsMathsLove's user avatar
3 votes
3 answers
233 views

Desmos and Wolfram Alpha contradict: Is $|1+x| \ge 1 - |x|$ true for all $x$?

Is $|1+x| \ge 1 - |x|$ true for all $x$? When I solve this problem myself, I solved that it's true for all $x$. But when I put it into Desmos, I get this: https://www.desmos.com/calculator/vgxm3q1fso,...
mathmuffin's user avatar
2 votes
2 answers
199 views

Why does Desmos not plot $ \sqrt{\frac{(x+y)^2}{2}} = \sqrt{x^2+y^2} + \sqrt{2} $?

I am working on the following problem: I need to find the points above the line $l:y=-x$ for which it holds that the distance to $l$ is $\sqrt{2}$ greater than the distance to the origin. I worked out ...
UnrulyTank's user avatar
1 vote
2 answers
119 views

Evaluating $\int_0^{100}{e^{\{x\}}}dx$ on Desmos

I was watching this video, which shows the following result: $$\int_0^{100}{e^{\{x\}}}dx=100(e-1)$$ I thought to check the result on Desmos, but it's giving me a different answer! *Note: I am using $\{...
Andrew Sotomayor's user avatar
4 votes
2 answers
186 views

Efficient Formula for $\zeta(3)$

I was messing around with Desmos to find an exact form for $\zeta(3)$ and was using the following triple integral form: $$ \zeta(3)=\int_0^1{\frac 1 z\int_0^z{\frac 1 y\int_0^y{\frac 1 {1-x}}}}dxdydz $...
Andrew Sotomayor's user avatar
0 votes
0 answers
72 views

How to make a collision system for a list of points and polygons in desmos?

So, I'm trying to make a basic shooter game in desmos, and I have a list of points that act as bullets. The (current) enemies right now are only some triangular jets that fly in a linear manner. My ...
Tsar Asterov XVII's user avatar
1 vote
0 answers
47 views

Does $\int_{0}\limits^{\infty}\prod\limits_{k=1}^{x}\frac{\prod\limits_{n=1}^{k}\frac{\lceil k+n\rceil}{\lfloor k+n\rfloor}}{2}dx=\frac{3}{2}$?

$$\int_{0}\limits^{\infty}\prod\limits_{k=1}^{x}\frac{\prod\limits_{n=1}^{k}\frac{\lceil k+n\rceil}{\lfloor k+n\rfloor}}{2}dx\stackrel{?}{=}\frac{3}{2}$$ There is not much context behind it. I was ...
Dylan Levine's user avatar
  • 1,676
-7 votes
1 answer
246 views

What is an equation that designs a rollercoaster, that will go into desmos.

The rollercoaster has to fit the following criteria: Starts and finishes at ground level (does not go underground) Maximum height is 100m and maximum horizontal displacement is 1000m The cross-...
keegan's user avatar
  • 1
0 votes
1 answer
101 views

Peculiar nature of $x\sec x$

Just out of curiosity I typed $x\sec x$ into Desmos and got a strange graph, (umm if you'll call that a graph). Till now I've seen graphs that are some curves. But this function's graph is something ...
MathStackexchangeIsNotSoBad's user avatar
0 votes
2 answers
51 views

Help with plotting graphs

I am using desmos (graphing calculator) but I am open to using other platforms (as long as they are free) if it helps with my issue. I am plotting the following implicit function: $$\frac{1}{2\sqrt{y}}...
Pc1's user avatar
  • 43
1 vote
0 answers
100 views

Why Desmos is giving two different answers for integral of the form $\int_{0}^{\pi}\left(\tan^{-1}(\cot(mx)\right)^2\:dx$

Why Desmos is giving two different answers for integral of the form $$I=\int_{0}^{\pi}\left(\tan^{-1}(\cot(mx)\right)^2\:dx,m \in \mathbb{N}$$ Firstly, I used the substitution $mx=\theta$. We get $dx=...
Ekaveera Gouribhatla's user avatar
1 vote
2 answers
97 views

Why does Desmos outlines $r=\cos(2\theta)$ differently from $r\le\cos(2\theta)$?

Why does Desmos draw different perimeters for the graphs of $$r=\cos(2\theta)$$ and $$r\le\cos(2\theta)$$ (2 leaves versus 4 leaves)? Why do the numbers of leaves differ? $r=\cos(2\theta)$ $r\le\cos(...
Vladyslav Rehan's user avatar
0 votes
1 answer
274 views

How to graph series in Desmos $f\left(x\right)=\sum_{n=1}^{x}nb-f_{1}\left(f\left(x-1\right)\right)$

$$f\left(x\right)=\sum_{n=1}^{x}nb-f_{1}\left(f\left(n-1\right)\right)$$ $$b=2$$ $$f_1(x)=x^2$$ $$f(1)=b$$ How can I define this whole series in Desmos?
Cassiopeia2.718's user avatar
0 votes
1 answer
116 views

How can i make Desmos equations only visible, if a variable is less than 0? [closed]

Say i have some variable k that I can change, and an equation. How do I make the equation invisible, if, for example, k<0 is ...
danik0011's user avatar
4 votes
5 answers
225 views

Discrepancy in definite integral $\int_{0}^{2\pi}\frac{1}{10+3\cos x}dx$ using Desmos

I was trying to calculate the following definite integral of a function $f(x)$: $$\int_{0}^{2\pi}\frac{1}{10+3\cos x}dx$$ After some effort, I managed to find the following antiderivative: $$F\left(x\...
Zacky's user avatar
  • 41
3 votes
0 answers
100 views

Error in desmos while computing $\int_{-\infty}^{\infty}e^{-x^2}dx $

When I was computing this integral $\int_{-\infty}^{\infty}e^{-x^2}dx $ on Desmos I was getting correct answer as $\sqrt \pi.$ But when I started to change the limits of the integration something ...
Ketan's user avatar
  • 99
0 votes
1 answer
53 views

Skew with Sgn(x) yields unwanted signed line segments

I'm using Desmos to visualize a concept, but I'm not getting what I expect. Assume we start with a morphed circle, in green, focusing only on the positive y values. We want to skew the green equal to ...
Cryptc's user avatar
  • 111
0 votes
3 answers
229 views

Negative integral but positive function?

So I was in the search for a general formula of $$\int_{-\infty}^\infty\frac{1}{1+x^n}dx$$I haven't found one yet, but I realized that for odd $n$ this is $0$. For even $n$, I decided to try a few ...
Kamal Saleh's user avatar
  • 6,519
0 votes
1 answer
354 views

How would I accurately simulate orbital motion in desmos? [closed]

Basically, I've been wanting to make a map of a fictional solar system which moves accurately. I have a circle to represent the parent star, a circle representing the planet, which is moving around a ...
isdi0's user avatar
  • 111
1 vote
0 answers
50 views

Problem with plotting products of polynomials

First, I typed x(x-1)=0 in Desmos and they showed the correct two lines. Then I changed the equation a bit into x(x-1)y=0 and they added a third line. But the previous two lines were gone. Expanding ...
Scratch---Cat's user avatar
0 votes
1 answer
1k views

Desmos - plot x vs t instead of y vs x

My physics students get very confused when they go from math class, where x is always (! stop that!) the horizontal axis, to physics where we put all kinds of things on the horizontal axis, including ...
PeterK's user avatar
  • 103
0 votes
1 answer
630 views

Desmos assign operator ($\rightarrow$) assigning multiple times without click manually

How do I assign a variabel automatically for n-times without clicking it n-times? I have this statement that I must click the red circled button in picture to assign updated value for variabel $a$: ...
Muhammad Ikhwan Perwira's user avatar
0 votes
1 answer
726 views

how to make a function, on Desmos, that, if h(x) is over n, then h(x) = f(x), but if h(x) is below n, then h(x)=g(x)

I'm trying to represent on Desmos what my C++ Vex robotics flywheel control code would do, so that I can close in on an optimal constant in the equation without testing it on the robot, because that ...
Cole Henrich's user avatar
5 votes
1 answer
217 views

Ellipse bounded between two lines and a circle

Given two circles with radii $\beta$ and $\beta^{-1}$, where $\beta\geq1$. Also, given two lines $y=x\tan\alpha$ and $y=-x\tan\alpha$, where $\pi/2>\alpha\geq0$. I am interested in all ellipses ...
Lee's user avatar
  • 1,910
1 vote
2 answers
242 views

Visualising the order $2$ rotational symmetry of the cube, about the midpoints of opposite edges.

Given a cube am facing great difficulty in visualising rotation symmetries along the axis formed by the midpoints of diagonally opposite edges. Given two diagonally opposite edges, need consider the ...
jiten's user avatar
  • 4,522
1 vote
1 answer
142 views

Is the sinc function related to the Gamma function?

I was just fooling around on Desmos and entered the function $f_{n}(x)=\frac{n!}{x!(n-x)!}$. When I set $n=0$, i.e. $f_{0}(x)=\frac{1}{x!(-x)!}$, I found that the resulting function looked strikingly ...
Pranav Chandrashekar's user avatar
1 vote
1 answer
2k views

Referencing a piecewise function in another function in Desmos produces error "You've already defined f(x) elsewhere"?

I was trying to reference a piecewise function inside another function in desmos. For example, suppose I had the following: $$ f(x) = \left\{ \begin{array}{ll} |x+1| & \quad x\lt-1 \\ 0 & \...
John Cavanaugh's user avatar
-1 votes
2 answers
83 views

Desmos error? Incorrect evaluation of expression?

This is the graph plotted by Desmos for the inequality $~\log_{0.2}\left(x^{2}-x-2\right)>\log_{0.2}\left(-x^{2}+2x+3\right)$ Here, you can see that plotted interval is $~x \in [2, 2.5)~$but log is ...
Nithin Raj's user avatar
2 votes
2 answers
141 views

Is $\frac{x^2-3x-4}{-3x-15}\Big/\frac{x^2-16}{x^2-x-30}$ defined at $x=6$ or not?

If a number is in the denominator of a rational expression that itself is the denominator of another rational expression, such that the number causes the latter denominator to be undefined, then isn't ...
Isaac Sechslingloff's user avatar
0 votes
1 answer
421 views

Tangent to a circle equation

So I wanted to make a program in desmos which shows a tangent to a circle of user defined radius r at the point q (y co ordinate). I've achieved this so far but of course due to negative square roots, ...
G.S.'s user avatar
  • 19