Questions regarding the plotting or graphing of functions. Questions about graphs with vertices and edges should use the (graph-theory) tag instead. (STUB)

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3
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2answers
32 views

Common formula for two sets of linear data

I've got two sets of data, both of which create a roughly linear line. I developed each set with a value of K, and I collected the data. ...
0
votes
1answer
66 views

How to define a meshgrid (x,y) between the intersection of two oblique lines.

How can I create a meshgrid to draw a 3d surface in a domain (zone 1) defined by the intersection of two oblique lines in Matlab (see attached figure)1. The variables 0
1
vote
1answer
30 views

What is the relationship between (x | Z[a]), (y | Z[b]), and (((x^2 + y^2)^(1 / 2)) | Z[a])?

In other words, so to speak, how would I create a formula that would solve $$(\sqrt{(x | Z[a])^2 + (y | Z[b])^2}) | Z[a]$$ for either $x$ or $y$, given the other? In English, what I want is a ...
0
votes
0answers
28 views

Computationally Plotting an Equation

I have the following equation: $y^2 - log(y)^2 = 4log(x) + \frac{4}{x} + c$ and I want to plot this, real terms only, in the eqi-axis interval 0 to 5, for different values of c. Is there a general ...
4
votes
2answers
531 views

Why does this graph intercept both axes at the golden ratio?

Earlier, I was playing around with the Desmos Graphing Calculator, and I discovered that the following formula intercepts both the x and y axes at the golden ratio. I know that it makes sense, but I ...
0
votes
1answer
26 views

What axis should my two variables be on?

I'm producing a report based on the speed of a program i've written however I'm not sure which axis time and the number I enter in the program should go on. My scenario: I've written a program and to ...
0
votes
3answers
45 views

Symmetry in $x=y$

What are the properties of a function being symmetrical in $x=y$ ? how would one find the image of a function reflected in $x=y$ ? and what would one need to prove to show that two functions are ...
0
votes
0answers
60 views

What's the standard form of the equation of a line of a slanted parabola?

I have been trying to figure out the general form of a slanted parabola, but what I've gotten doesn't look like it would be accurate:$$(x-h)^2+(y-k)^2=\dfrac{d}{\sqrt{h}}$$Where $(h,k)$ is the focus, ...
0
votes
1answer
19 views

3-D plot of $0\leq x\leq 1,0\leq y\leq 1,0\leq z\leq 1$

I can't figure this out : When we plot the inequalities $0\leq x\leq 1,0\leq y\leq 1,0\leq z\leq 1$ graphically what do we obtain ? Kindly help..
1
vote
0answers
47 views

Real world application of slanted conics (parabolae especially)

I am writing a report on slanted conics of the form $$(x-h)^2+(y-k)^2= \dfrac{d}{\sqrt h}$$ Where $(h, k)$ is the focus, and $d$ is the directrix. Are there any real world applications for slanted ...
0
votes
1answer
40 views

Literally draw a function and convert it to x and y points arrays

I'm looking for free tool (eventually commercial) for drawing plot - I mean literally: with pencil. This plots are going to be for simple demonstration. This tool should convert my drawings to x and y ...
0
votes
0answers
56 views

graphing equations of $y$ instead of $x$

The problem I'm attempting is: Sketch the curves $\ x = y^2 − 4y$ and $\ x = 2y − y^2$, find their points of intersection, and find the area enclosed by the curves. I'm confused as to how to graph ...
0
votes
1answer
18 views

Polar coordinates doubt (Graph of $r \le 1$)

I have a doubt. I have to plot the graph of $r \le 1$. Now, according to me, it should be a circular disc with center origin and radius 1 unit. But, some of my friends say that it should be the whole ...
0
votes
1answer
41 views

How are graphs drawable?

Drawing some graphs in Cartesian Coordinate system for a College Algebra class, and wondering: How are graphs even drawable? Considering that the points that make up graphs have infinitesimal size ...
0
votes
0answers
16 views

Creating contour and gradient map

I have a requirement where, i have been given data set against X, Y Coordinate of a plane. This value is temperature at a point x,y. Now i am suppose to draw a graph with gradient color which displays ...
0
votes
2answers
91 views

How to make your own supply/demand graphs on a computer?

This is an econ question but I think you guys might have the solution. I am writing an economics paper and I need to show, in my theory, shifts in the supply and demand that I predict. I don't have ...
0
votes
1answer
33 views

How to obtain and graph a function that first grows exponentially and then decays exponentially?

I would like to know what the equation of a curve is if it grows exponentially (let's say it doubles each time). This would be: $f(x)=2^x$ But then I would like the line to exponentially decay (let ...
0
votes
0answers
32 views

How would the graph of $w=e^{z^2}$ look?

If $W = e^{z^2}$, how would the $W$ graph look like on $W$ space. I mean the angle is $2xy$, radius is $e^{x^2-y^2}$. To avoid repetitive value you would set a limit from $2xy$ to $(2xy + 2\pi)$. ...
0
votes
0answers
27 views

Kinematics(Newtons laws of motion - acceleration) - Practical

Note: initial velocity = 0ms^-1 , (S= displacement) I am trying yo plot a graph of a practical i have earlier done( varying inclination angle and measuring time taken to displace the whole incline), ...
0
votes
0answers
26 views

How to find the right way to pick a random selection

I love the website AnyDice (http://anydice.com). When I needed to make a dice game, it saved me hours of coding and testing. Now, I need something similar, but not for dice. I'm trying to do a ...
0
votes
4answers
52 views

Graph r=6sin(θ)

I'm stuck on this one. I've tried converting it to Cartesian coordinates but I couldn't. I know I could figure it out by testing a bunch of values for θ, but I'd like to know how to do it a better ...
0
votes
1answer
15 views

Maximum of a cosine graph

I am working on part b). I have determined, by graphing, that the maximum value is 4 (at x=0, y=4; the max point is 0,4) Now, to find an expression for part b, I was trying to find the period of ...
2
votes
1answer
621 views

Finding the phase shift of a cosine function, given the graph

Here is what I have found so far: Vertical Displacement = 2 units down (-2) Amplitude = 4 Period = 2pi/3 I am now trying to find the phase shift. I moved the 'working x-axis' 2 units down, in ...
6
votes
3answers
127 views

Why does $\sin(\cos x)=\cos(\sin y)$ result in a lattice of circles?

Using Desmos graphing, I made an equation $\sin(\cos x)=\cos(\sin y)$ (here) which resulted in a strange lattice of symbols. I know that the trigonometric functions relate a triangle's sides to its ...
0
votes
0answers
18 views

ax + by >= z representation

I wanted to know if this inequality had a 3 dimensions spatial representation : aX + bY >= Z With X, Y and Z spatial parameters and a and b real numbers. Wolframe doesen't seem to give any ...
1
vote
2answers
30 views

Proving a particular case of AM-GM graphically

Sketch a graph of $y = \ln x$ and hence explain why $$\frac{\ln a + 2 \ln b}{3} \le \ln\frac{a + 2b}{3}$$ I understand that $\ln $ is a strictly increasing function and $x > y \implies \ln x ...
3
votes
2answers
39 views

Graph of $f(x)$ given, find graph of $f(|x|)$

I know the graph of $f(x)=x^2-2x$. Google calculator https://www.google.com/#q=graph+of+x%5E2-2x But how can I find the graph of $f(|x|)=|x|^2-2|x|$? What is the best method to approach here? ...
2
votes
2answers
95 views

I got this “parabolic” curve from a book but cannot find the right equation for it

The diagram below is taken from a book on Indian Stupa architecture. It says that the profile is a "parabolic" one. I have tried y=x^2 and varied the domains ox x and y but couldn't find the right ...
0
votes
2answers
29 views

Procedure to find a level curves

I'm having trouble finding level curves. What's the procedure? In this case, for example: $z=x^2+y^2=k$ $\hookrightarrow y=\sqrt(k-x^2)$ Then I sketch this based on knowing the formulas of ...
1
vote
1answer
57 views

How to plot a smooth curve function from given points

I have several points, how can I plot a smooth curve that pass through those points? Is there any function that I can create or formula that I can use to get all points in the curve? I have read ...
1
vote
2answers
32 views

How to solve reciprocal linear function

I was doing my homework and the last question was said to be a trickier one and if you could figure it out, then do it. It's bugging me as I want to understand how to do it. The question is as is: ...
0
votes
0answers
22 views

Parametric derivative of $x^2+y^2+sin(4x)+sin(4y)=4$.

I am trying to parametrize $x^2+y^2+sin(4x)+sin(4y)=4$. I need to find a way of taking the intersections between $x^2+y^2+\sin(4x)+\sin(4y)=4$, and $\tan(nx)$, as n increases from $0\le{n}\le{2\pi}$. ...
0
votes
1answer
25 views

Fitting a region in between two exponentials

I'm trying to fit the data for the thermal conductivity of Gallium Arsenide from [1]. Although there are theoretical models that explain this phenomenon, they are too complicated for my purposes, so I ...
1
vote
2answers
17 views

Given $f(x)= \frac1{4(x+4)^2}-2$ Find vertex, $ y$ intercept etc.

Given $f(x)= \frac{1}{4}(x+4)^2-2$ Find: vertex, $y$-intercept, $x$-intercepts (if any), axis of symmetry What I have so far: Vertex: $(-4,-2)$ $y$-intercept: $(0,2)$ $x$-intercept: $2$ Axis of ...
0
votes
1answer
26 views

First and second projection, definition and/or motivation for name

I have read that in the ordered pair $z=(x_1,x_2)$, an element of a direct product $Z=X_1 \times X_2$ of sets $X_1$ and $X_2$, the element $x_1$ is called the first projection and $x_2$ is called the ...
1
vote
1answer
70 views

How to draw or plot illustrative figures?

stackexchange users I would like to plot or draw some illustrative figures for my research paper. I've tried GeoGebra already. But couldn't draw them as I wanted. So my question is How can I draw ...
1
vote
2answers
34 views

Graphing x/y against y

This is a question about graphing the relationship between two variables. It is about the ideal gas equation $$pV=nRT$$ to plot ${p}\over{T}$ against $T$, where ${nR}\over{V}$ is constant. How would ...
0
votes
1answer
23 views

Systems of Inequalities question

Amy is a landscaper and has been given an assignment to modify the plans for a park in a small neighbourhood. The land she is working on is covered in trees and shrubs. Amy needs to make the park ...
0
votes
1answer
20 views

Calculate total distance travelled

I have a list of lists wherein the first element is $x$ , second element is $y$ and last element is speed. How do I calculate the total dist traveled?. My data looks like this: ...
0
votes
1answer
31 views

An $\Bbb{R}\to\Bbb{R}$ function with two plateaus of different heights and a valley

I am looking for a $\Bbb{R}\to\Bbb{R}$ function $f$ with two plateaus of different heights and a valley. The function has a minimum for $x=a$ and $f(a)=b$. The first (the one for smaller $x$) ...
1
vote
1answer
33 views

Scaling axis on Mathematica's plots

I'm trying to get the plot below only I want the ratio y:x to be 1:1 instead of 2:1. I want the ellipse to look tall and slim instead of short and fat. Here's the code line if you want to copy and ...
0
votes
1answer
67 views

Discriminant of Quadratic with circle

The circle $x^2 + (y - c)^2 = r^2$, where $c > 0$ and $r > 0$, lies inside the parabola $y = x^2$. The circle touches the parabola at exactly two points located symmetrically on opposite sides ...
1
vote
0answers
43 views

Graphing a complicated equation

How do I draw the graph of this equation $p(\theta^{*} (x))\hat{G} - (1-p(\theta^{*} (x)))(\bar{P} - r(x)) = \check{G}$ Here the $\check{G}$ is a positive constant and is a straight line, but how ...
1
vote
2answers
66 views

How can I plot $y^x$?

How can I plot $y^x$? To keep things simple and to not have another $z$ variable on the other end of the equation, let's assume $y^x=10$. As long as that value is not $0$, the curve we get should look ...
0
votes
1answer
29 views

Calculate number of probabilities

I want to calculate a number of probabilities of a+b+c=1 For a vary from 0 to 1 with an incrementing of 0.1 For ...
0
votes
1answer
462 views

How do you draw a direction field for 2x2 matrix?

I understand $AX = X'$ and by doing so, you get both equation for derivative of $x_1 and $x_2$. When I make a $x_1$ and $x_2$ plot, I am confused regarding which derivative of $x_1$ or $x_2$ to ...
0
votes
1answer
29 views

What is correct plot of Laplace 2d equation

I have to plot distribution of 2D Laplace equation: $\Delta^2\psi\ (x,y)=0$ $\psi\ (x, 0) = \psi\ (x, 1) = \sin{x}$ $\psi\ (0, y) = \psi\ (1, y) = 0$ So I have these graphs: Is there correct ...
0
votes
2answers
38 views

Study of a function to draw its graphic

I'm studying the following function: $$f(x)=x+\frac{ax}{\ln x}$$ So I divided the work in two part for $a>0$ and for $a<0$. I started from the first and studying it I found that it is defined ...
0
votes
1answer
25 views

Converting a graph into a function

Is is possible to convert this graph into an function of t(time), if what are the appropriate steps to do this? Any help point in the general direction will be greatly appreciated! Thanks in advance. ...
1
vote
2answers
45 views

Can there be two relative minimums on the graph of a quartic function?

I need to find the relative minimum and maximum of the given function: $$x^4-4x^3-2x^2+5x+9$$ Graphing this, I get a relative maximum of $(0.538, 10.6)$ But, I seem to get two relative minimums, at ...