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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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 $0\le{n}\le{2\pi}$. ...
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1answer
24 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 ...
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2answers
15 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 ...
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1answer
17 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 ...
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1answer
40 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 ...
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2answers
31 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 ...
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1answer
19 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 ...
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1answer
19 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: ...
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1answer
21 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 $x$) ...
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1answer
27 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 ...
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1answer
36 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 ...
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24 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 ...
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2answers
65 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 ...
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1answer
28 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 ...
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1answer
56 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 ...
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1answer
17 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 ...
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29 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 ...
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1answer
17 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. ...
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19 views

Determining a function from a graph

I have the following graph created in Excel based on 10 data points. Does anyone here know of a good continuous function that could be constructed from the data? What methods are typically used for ...
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2answers
34 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 ...
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15 views

Determining the conditions such that the graph f resembles the given graph

so I am pretty stuck on these problems, as I am not even sure where to really start with them. http://imgur.com/UwiCBWd I would really appreciate it if someone could help me through 65 and 66, and ...
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1answer
28 views

How to find initial estimate of roots from graphs?

I have f1(x,y) = x^2 + 3y^2 - 1 = 0 and f2(x,y) = (x-2)^2 + (y-1)^2 - 4 = 0 I am suppossed to find the roots of these nonlinear ...
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21 views

Why doesn't Maple want to plot this fourier transform?

I'm using the following Maple code: ...
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1answer
46 views

How do I make the ellipse move along my polynomial equation?

My equation is located on the following url: https://www.desmos.com/calculator/7iewlnmfwv Basically trying to make my ellipse move on my polynomial equation. Almost, like a roller coaster. I'm ...
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1answer
23 views

Simplifying this Complex Radical: $-{1/5}(x-4)^{5/3} - 2(x-4)^{2/3}$

$-{1/5}(x-4)^{5/3} - 2(x-4)^{2/3}$ I need to get this function into a simpler form so that I can analyze it's domain, limits, derivative and second derivative more easily. I am very bad with radicals ...
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25 views

Edge detecting - how to detect the most accurate edges using the Canny and Sobel methods?

For some reason, I believe this question belongs here and not to the StackOverflow. Anyways, Here's an exercise I have to solve: Repeate Lab Exercise 2 but with the matlab eight.tif image. The ...
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0answers
10 views

What type of graph would best fit for this type of data?

I have some data I would like to show in a graph, but I'm not sure what type of graph would be best. The data is in this format: {Data1: [Cat1, Cat2, Cat3], Data2: [Cat2, Cat5, Cat3]} So each ...
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18 views

Plotting multivariable trigonometric functions

How would you go about plotting the area of $\cos(y - |x|)\ge 0$ or plotting the level curves (or contour curves) of $f(x,y)=\sin^2(x)+\dfrac{y^2}{4}$ Thank you very much.
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1answer
17 views

Determining Period From A Graph

I'm having trouble understanding what exactly the period is in a graph. My understanding is that the period is horizontal distance between 2 curves in the graph. Like in the following picture which ...
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14 views

Curved Asymptote

I was playing around with a graph program and when I sketched $y=\sqrt{x}\ln(x)$, the curve came out as shown below. It appears that there is some sort of concave down lower bound function that it ...
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23 views

Slopes of equally spaced lines

This is an incredibly simple question, I'm sure, but I'm only in 7th grade and can't quite riddle it out. Say you wanted to lay out equally spaced points about the circumference of a certain circle, ...
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23 views

What does this integer-based scatter plot look like and what is it called?

Suppose you have the numbers $1..2n$ where $n > 1$ is the number of dimensions you wish to plot in. Coordinates are to be plotted only if they are somehow obtainable by the following algorithm: ...
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What function has a 3D graph that will look like a spiral into a singularity?

I am trying to draw text spiraling into a black hole, from a more interesting slightly off-orthogonal viewpoint. I think a function that defines a black hole/singularity surface might look something ...
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25 views

Circular node, direction of trajectories?

I have a problem that is a circular node: $\begin{bmatrix}0 & 1 \\ -1 & 0 \end{bmatrix}$ gives $\lambda = \pm1$ It is complex on both, so it is a circular node. Using equilibrium points, we ...
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2answers
20 views

Paramertized ellipses

I have $a^2 = (4x-8)^2 + 4y^2$ and $b^2=(4x+8)^2 + 4y^2$ which I switch between every $t=\frac{n\pi}2$ How do I draw this touching the origin, and moving outwards, noting that ...
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22 views

Given a function and its transformed graph, find an equation of the transformation

Given a parent function and its transformed graph, I need to find an equation of the transformation. I cant seem to figure #13 or #14... I get confused with which points to start with when dealing ...
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73 views

Spherical harmonic expansion of a sphere

Seeing as one can expand any function on the sphere in terms of the spherical harmonics, I was thinking it should be possible to express the function for a sphere itself in terms of them. I have ...
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0answers
36 views

Drawing Phase planes with one input, rather than long scripting

What software can be used to draw phase planes easily? I want to input some $\begin{pmatrix}x_1 \\ x_2\end{pmatrix}=$blahblah, and have it plotted with or without initial conditions. Is there any ...
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1answer
70 views

Phase shift of two sine curves

How do I determine phase shift of two sine curves (discrete time sampled sine curves) in Matlab. Currently, I have the FFT of these two sine curves, the phase shift is just the delay in time, which ...
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1answer
21 views

For $f(x) = ax^2 + bx +c$, why is it written $a(x-h)^2 + k$

I'm going to have to teach how to graph quadratic equations. Since we've already done a lot of work with the Quadratic Formula, the students are more or less familiar with the standard notation of a ...
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2answers
54 views

help me with these equations

Consider the graph of the function $f(x)=-x^2+9$ so far I've come up with (a) $y=5x-1$ (b) (1/2,5) i'm just lost on $c$ and what formulas to use can someone confirm these answers correct and help me ...
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1answer
19 views

how can you plot this?

$y= \frac{x^3}{|x|}$ where x is not equal to 0. i tried plotting in wolfram alpha and it shows a $x^3$ graph and i dont understand where the $x$ in the bottom goes? shouldn't it be $x^2$? anyways any ...
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1answer
57 views

Plotting discrete time signals involving sumations in matlab.

Many of the examples I've encountered while looking for an answer are simple functions that do not involve summations. Suppose I have the following function; ...
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1answer
60 views

Find global and local maxima and minima, given the graph of the function

My attempts were local max: 3,8 - local min: 5 - global max= 3, global min= 5 Module is giving me incorrect. No partial credit. So I can't tell where the problem lies. local max: 6, 4.?? local ...
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1answer
13 views

What is the geographic representation of the tangent line not existing at (0,0) of the graph f(x) = |x|?

Graphically, why isn't the $X$ axis considered a tangent line to the function $f(x) = |x|$ at point $(0,0)$? Is the graph too sharp? (V shaped) for there to be a tangent line?
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1answer
21 views

How do I solve $0 = x\times114 - x\times\log_3(x) - 20.28\times y$ in matlab for different values of $y$?

I have $y = 10^3, 10^6, 10^9, 10^{12}, 10^{15}, ...$ and above mentioned equation. How do I solve (i.e. getting values of x for different y) and plot this equation in MATLAB ?
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14 views

For what kind of a profile will the average of the square be greater than the square of the average by a factor of 2?

For a dependent variable, say $\textit{A}$ and independent variable, say $\textit{t}$, what kind of a profile/graph will $\textit{A(t)}$ trace if the condition below is satisfied. ...
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4answers
37 views

Is there a continuous function f(x) that tends to zero for both positive and negative infinity and f(0) = c

Is there a continuous function f(x) that tends to 0 as x approaches both positive and negative infinity and f(0) = c, where c is some given constant?
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30 views

What is the definition of a cusp?

So there are 3 situations that a function is not differentiable 1. a vertical tangent, 2. a discontinuity and 3. at a cusp. Consider the function $f(x)=e^{-|x|}$ at the point $x=0$. It is continuous ...
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24 views

finding max and min value of polynomial function with starting point and steps

My instructor said you will find max and min value of a polynomial function. However, you will use a point that is called starting of search and step size. I don't understand starting of search and ...