Questions tagged [graphing-functions]
For questions regarding the plotting or graphing of functions. For questions about the kinds of graphs with vertices and edges, use the (graph-theory) tag instead.
5,031
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Sketch two planes on the same xyz-axis and find the line of intersection of x + y +3z= 9 and -2x+3y-z=6 [closed]
Sketch plane two planes on the same xyz-axis and find the line of intersection of x + y +3z= 9 and -2x+3y-z=6
0
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1
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23
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Formula for minimum of a changing parabola
So what I want to find out is the path drawn by the parabola $y=x^2+bx$ minimum as b changes.
Im pretty sure it draws an upside down parabola because if I put in Desmos and slide the b it goes in the ...
2
votes
4
answers
101
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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 ...
0
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2
answers
43
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Number of continuous points of a graph (Problem 34 from 97-99 Math GRE practice questions booklet)
Problem Statement: Let $f$ be a function with domain $[-1, 1]$ such that the coordinates of each point $(x, y)$ of its graph satisfy $x^2 + y^2 = 1$. What is the total number of points at which $f$ ...
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31
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Why does 2xcos((x^4)/2)sin((x^4)/2 seem to match the integral[0 to x](sin(x^4))?
In my calculus class we were solving: integral{0 to x}(sin(x^4)) via power series. My professor told us we can't solve it by any other means, so I went to try to brute force it anyways using Desmos.
I ...
0
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0
answers
17
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Graphing dy/dx of a parametric equation.
Consider the first quadrant of a circle. We can represent the first quadrant of a circle as:
$y_1 = \sqrt{1-x^2},$ such that $0\leq x \leq 1 \\$
and in parametric terms as:
$\left(\frac{1-t^{2}}{1+t^{...
0
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1
answer
47
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What is the graph of Rudin's 7.18 function
Code borrowed from here
Theorem 7.18 from Baby Rudin:
There exists a real continuous function on the real line which is nowhere differentiable.
proof
Define
$$\tag{34} \varphi(x) = \lvert x \rvert \...
1
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0
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28
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What is the Equation for the Batista-Costa Minimal Surface?
The Batista-Costa surface is a triply periodic minimal surface. Two photos of part of the same surface are below:
which were both taken form the research paper: The New Boundaries of 3D-Printed Clay ...
10
votes
1
answer
209
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Beautiful errors in graph of $\sin(x^2+y^2)$
I was writing a simple program to help visualize inequalities based on 2 variables. The test inequality that I was using was this: $$\sin\left(0.1(x^2+y^2)\right)\geq0$$
Regions that satisfy the ...
2
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0
answers
42
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Adding a list of sin waves such that they run for one period and moves on to the next sin wave with a different phase/amplitude [closed]
I have a list of sin waves
$$[A_1\sin(x+P_1 ),A_2\sin(x+P_2 )…A_n\sin(x+P_n ) ]$$
and I want have them be graphed in such a way that there is no discontinuity between them. my current method is to ...
3
votes
0
answers
86
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Find number of solutions to the equation $\sin(6\sin x)=\frac{x}{6}$.
Find number of solutions to the equation $$\sin(6\sin x)=\frac{x}{6}.$$
By plotting it on any graphing software one is able to see instantly that it has $15$ solutions. However I am not able to work ...
0
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0
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46
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Why is the Graph of a Function Defined Differently in Abstract Maths
According to my abstract algebra book by Ronald Solomon the graph of a function $f: X \to Y $ is the set $ \{(x,y) \in X\times Y\ |\ y=f(x)\}$. So in other words, the graph of $f$ is the set of ...
0
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1
answer
73
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What exactly is the torus (Z/nZ)^d?
What exactly is the torus $(\mathbb{Z}/n\mathbb{Z})^d$?
I know that $\mathbb{Z}/n\mathbb{Z}$ is the set of equivalence classes: $\mathbb{Z}, \mathbb{Z}+1, \mathbb{Z}+2, \ldots, \mathbb{Z}+(n-1)$. I ...
0
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0
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20
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Hyperbola with linear segment
I'm looking for a simple hyperbola-like function that has a linear like segment that can be parameterized to start at a and end at ...
1
vote
1
answer
33
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Triple Integral Reiteration
I have the following triple integral:
$$
I = \int_0^1 dz \int_z^1 dx \int_0^{x-z} f(x, y, z) \ dy
$$
I want to reiterate the integral in such a way that the integrations are performed in the following ...
0
votes
1
answer
24
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When finding the asymptotes of function b, is minus infinity obtained?
Good time of day. There was a problem while researching the function graph. Namely, when finding the inclined asymptote.
Graph: y=x-ln(x+1)
When calculating the limit, the coefficient k = 1. Calculate ...
1
vote
0
answers
21
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Why is it more common to draw in arithmetic subdivisions in logarithmic plots?
I can understand that you'd sometimes want to see where the linear subdivisions are on a logarithmic plot, and track e.g. where one y-value is ~3 times as large as another y-value (e.g. 2x10^5 ...
4
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3
answers
261
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floor(x/y)=y graph
I was experimenting with some equations on Desmos and stumbled upon the floor function. I tried using it in different equations, but nothing caught my attention ...
1
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1
answer
69
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Why we cannot draw the graph of a three-dimensional function?
I am a mathematical beginner. As we all know, the graph of a one-dimensional function is a curve, and the graph of a two-dimensional function is a surface. What is the graph of a three-dimensional ...
0
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0
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12
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How is it Possible to Generate Tables and Graphs Optimizing the Associated Shichman-Hodges Slope $λ_j$ and Verify the Regression Approach
1. Introduction
Linear regression Equations for $λ_j$ are derived here:
How is it Possible to Optimize the Shichman-Hodges Slope Parameters from the Left and Right using Least Square Linear ...
1
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0
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68
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Can you have a graph/plot with more than 3 sides?
It may be a stupid question but I was working on a ternary plot (example image attached) and the idea about the maximum number of sides for a graph (in 2D, 3D and ND) came up. I'm curious as to the ...
0
votes
1
answer
41
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Linearly spacing points along non uniform curve
For a robotics project, we have sensors that give us an accurate realworld XYZ position. I've recorded this data to measure the sag our telescoping boom has over its 50 feet of travel. This is the raw ...
3
votes
1
answer
177
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Why do I see this in the graph of $\ln(x) + i\pi$?
There is always a time when we realize that people telling us that “logarithms of negatives are undefined” is a lie.
With complex analysis, we can derive the following:
As $e^{i\pi} = -1$,
$\ln(-1) = ...
0
votes
0
answers
18
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How can I fit a function, given a set of estimates of its slope over various intervals
I am trying to approximate a function $f(x)$ (strictly positive x if that helps) based on the following information.
I have estimates (uncertain, their uncertainty quantified) for 435 intervals of x, ...
2
votes
2
answers
96
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Finding number of solutions of $e^x$ = $x^3$
As we can see $e^x=x^2$ has 1 solution.
$e^x=x^4$ has 2 solutions with $x^4 > e^x$ after $x=1.43$ which is one of the solutions.
What is the reason behind this?
Also what would be the approach is ...
0
votes
1
answer
42
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Geometry needed to layout points in a grid for a centered hexagonal number?
I asked this as a programming question, but perhaps it is a better math question. What is the math needed to compute the positions of the points along the flat edges of the hexagon? I could then ...
0
votes
1
answer
44
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Mathematical curve to represent a contour plot of a bimodal distribution in two dimensions
I am attempting to find a mathematical curve $f(x,y)$ that describes approximately the contour plot of a bimodal constructed from two Gaussian distributions centered at $(0, \pm y_0)$ and $\sigma = 1$....
2
votes
0
answers
160
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Possible approaches to prove that there is an integral point at a distance of less than $1/1000$ from the straight line $y=\sqrt{3}x$
Self-studying Gelfand pre-calculus (Functions and graphs, pg.92). Are there any more ways to prove that there is an integral point at a distance of less than $1/1000$ from the straight line $ y=\sqrt{...
0
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1
answer
32
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Prove that $n$ hypersurfaces with cyclic permutations of the last $n-1$ variables only intersect if all the variables have the same value.
Suppose that in $\mathbb{R}^n$, I have an equation $F(x,y,z,\dots,n)=0$ with the property that it is symmetric in the last $(n-1)$ variables $\{y,z,\dots,n\}$, but not in the first variable $x$. For ...
0
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1
answer
39
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What is the graphical intuition with the hyperplane $H = \{x\mid a^T x = b\}$ for a non-zero $b$?
Consider the hyperplane $H = \{x \mid a^T x = b\}$
When $b = 0$, the geometric meaning of the hyperplane is immediate:
You plot a vector $a$, and then everything that's perpendicular to it is your ...
1
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1
answer
107
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How to plot spherical harmonics? [closed]
Let me start by saying that I am only interested in the mathematical aspect of the thing.
I would like to plot just for the fun of it the spherical harmonics that are used to plot the electronic ...
1
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0
answers
106
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Matrix of POV for graphs: $\mathbb{R}^n\to \mathbb{R}^2$
Despite the context, this question concerns mathematics since I ask to find the formula of a matrix, I specify this since the question was closed because "This question is not about mathematics&...
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2
answers
72
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Problems with plotting a function [closed]
I can't find out why maple won't plot a type of function the way it's supposed to be.
Here are the functions I need to plot
I'm considering B=24, h=0, t=10.2 and epsilon as the only variable.
The ...
0
votes
1
answer
53
views
Why is the graph of function behaving in a seemingly erratic fashion?
I was recently trying to plot the graph of the function $f(x)$. This function is defined as follows:
$
f(x) = \frac{\sin{3x} - 3\sin{x}}{(\pi - x)^3}
$
I first plotted the numerator ($A(x) = \sin{3x} -...
4
votes
0
answers
149
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Behaviour of the solution of a second order ODE
I am currently studying the following second order ODE
\begin{cases}
\ddot y(x)\left(\ln(x) - 2\ln(y(x))\right) - 2\frac{(\dot y(x))^2}{y(x)} = 0 &\text{in }[0,T]\\
y(0) = 0\\
\dot y(T) = c
\end{...
0
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1
answer
68
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Wrong graph of a function in Desmos
I have a function $$f(x)=\frac{2(x-\log(x+1))}{x^2}$$ which is not defined at $x=0$, but I can use L'Hopistal rule two times to get the limit as $x\rightarrow 0$:
$$\lim_{x\rightarrow 0} \frac{2(x-\...
0
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1
answer
26
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Unable to find error in finding area of inequality
I was trying to find the probability of breaking a unit stick at two points to form a triangle which is 1/4 by graphing some inequalities.
First I let the first point be x, and the second be y (on a ...
0
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0
answers
45
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Is there a simple method for interpolation that doesn't overshoot?
I am working on a project where I have a very specific need: I need to be able to interpolate between values in a dataset without the output function containing outlandish ridges and troughs. ...
-1
votes
2
answers
111
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$|x − y + z| + |y − z + x| + |z − x + y| = 1$, please comment on the geometrical shape [closed]
If S is the outer side of the surface
$|x − y + z| + |y − z + x| + |z − x + y| = 1$, please comment on the geometrical shape of the surface and volume.
I am unable to use https://www.geogebra.org/ for ...
1
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0
answers
16
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How to Clearly Plot a Plane in 3D in Lecture Notes
I'm currently teaching introductory linear algebra. This is my first time as the instructor, but I have been a teaching assistant for the class before.
A recurring problem I have is drawing a clear ...
1
vote
1
answer
33
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Is there a website that can plot vectorial functions?
I know Desmos can plot some things, not nearly as elegantly as Wolfram Alpha, but for vectorial functions I'm at a loss.
2
votes
1
answer
92
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How to squeeze the logistic function obliquely?
The original function: $f(x) = \frac{1}{1+e^{-10(x-0.5)}} $. Its graph (blue line) is shown here:
How can I squeeze this function obliquely along the $y=x$ line? The squeezed function $g$ needs to ...
0
votes
0
answers
24
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How to find the fit between two curves.
I am working on an investigation where I compare different paths of a surfer paddling out to catch a wave with a perpendicular current. I found an equation for one of these ways in which the surfer ...
0
votes
3
answers
111
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Finding a tangent at a point $A(a,b)$ without the use of limits or derivatives.
Currently reading Gelfand's Functions and Graphs as part of pre-calculus and stuck on this question.
The author discusses a way to find a tangent to a curve without the use of limits or derivatives ...
3
votes
2
answers
162
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How to draw graph of cubic function
I am taking a course in calculus and wanted to refresh my memory before the semester starts. And I have been working on drawing graphs from cubic functions. I am not that experienced with LaTex and ...
0
votes
0
answers
39
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Any ideas on how to add complexity?
I am investigating the path of a surfer who, starting at a point on the shore, is trying to paddle to a certain point directly in front of him (perpendicularly to the shore) while a current pushes ...
1
vote
1
answer
55
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How to plot $W(\exp(-x))$ in wolframalpha or sage
I tried to plot the function $W(\exp(-x))$ in both WolframAlpha and Sage and I got:
No result in Wolframalpha (empty 3d box or 2d chart).
Empty set in SAGE.
Any help?
0
votes
0
answers
28
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How to calculate standard deviation (σ) for a real time (live) data?
This is a graph of live data. The red band is a 'VWAP' Volume weighted moving average. I want to calculate standard deviation (1σ) of that red line.
I have used the formula (image attached), where 'M'...
1
vote
0
answers
22
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Parametric representation for alphanumeric characters
I have a strange problem. I'm trying to put some questions and answers onto the Moodle Learning Management System with STACK. STACK is a question type in some Moodle installations that allows for ...
2
votes
2
answers
128
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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 ...