# Tagged Questions

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

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### Plotting $\sum_{n\geq 1}\frac{1}{n}z^{n}$ for $|z|<1$ (the natural boundary): Coding

As part of my tutorial, I would like to show the plots of a)$-\sum_{n\geq 1}\frac{1}{n}z^{n}$ and b)$Log(1-z)=log(|z|)+iArg(z)$, to drive home the point of analytic continuation. Plotting the Log is ...
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### Solving an equation on the graph

The picture shows the graph of $$y = \frac{1}{10} (x^3 + 3x + 20).$$ I was then told to draw a straight line on the graph, then solve the equation $x^3 + 23x = 30$. I'm a little confused here ...
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### Formula for the graph of 3 hyperbolas

I recently was doing some complex number work and found this guy: Is there a formula for a graph like this in two - dimensions? I know that the values are the same on every curve, but they are ...
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### Theoretically, can mathematical equations be used to graph any picture imaginable? [duplicate]

I know that quadratic formulas make parabolas, linear makes straight lines and sin, cos and tan make cool curves but after messing around with WolframAlpha and online equation graphing tools I can ...
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### Is there a trick to drawing cubic equation graphs?

This year I started drawing out cubic graphs on graph paper...My teacher have been giving a ton of practices.However,I find that it is very difficult to connect the points of the graph,especially the ...
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### Find the graph of the given function

$f(x)=$$Sin^{-1}$${(3x-4x^3)}$ , Plot the graph for $f(x)$ I want to know how I can plot graph from this points.
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### Finding equation of tangent lines to hyperbola $xy=1$

I am working through some calculus problems (this is in a section on implicit differentiation) and this one is giving me trouble. I am trying to find the equations of the tangent lines to the ...
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### Exaplin a limit example in graph

Let $f(x) = x$ for $x \ge 0$ then $\lim_{x\to 0^+} f(x) = 1.$ Now, how could I exaplin it on a graph? I can't uderstand from the graph why the limit approaches $1$. It seems to me that when $x$ get ...
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### $3$-dimensional shape

What $3$-dimensional shape is represented by graph of the set of pints $(rcos\theta, rsin\theta,z)$ where $r$ is a constant real value, $\theta$ range from $0$ to $2\pi$ radiant and $z$ range over ...
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### Normal vector on a plot

Do a sketch of $f$ with the equation $f(x,y)=0$. Give in all non singular points of the curve a normal vector. $f(x,y)=x^{3}-x-y$ How can I do this thing with normal vector? I know that singular ...
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### Visualising High Powers of Sin and Cos without Graphing

Find $$\int_{0}^{\frac{\pi}{2}} sin^5\theta \ \ d\theta$$ Hence, with reference to graphs of circular functions, find $$\int_{0}^{\frac{\pi}{2}} cos^5\theta \ \ d\theta$$ ... explaining your reasoning....
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### MATLAB: how to include running time on a graph? [closed]

I have a MATLAB/Octave program for which I used the tic and toc functions to measure the time elapsed for some calculations. e.g....
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### Convolution of two rectangular pulses

Determine the shape of the following function$$\int^\infty_{-\infty} \Pi(4\tau) \Pi(t-\tau) d\tau$$ Attempt: This function is a convolution of two rectangular functions. I know that the result has ...
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### Iterating a relation to find a function

I was playing around with a graphing calculator, trying to find approximations for inverses of $f(x)=x^5+x+1$. This cannot be expressed with radicals or the like, but I wanted to see how close I could ...
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### Visualizing a complex function

Ever since I learned about complex valued functions I've been wondering if there was a better visualization for them. Obviously we can't visualize four dimensions, but I was wondering if it would be ...
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### Find an example for a bounded function $f$ where the graph of $f$ marked by ${E=(x,f(x))}$ is not of volume 0.

Find an example for a bounded function $f$ where the graph of $f$ marked by ${E=(x,f(x))}$ is not of volume 0. I tried to think about some variation of dirichlet function but the I saw that you could ...
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### Determine the points where polynomial function intersects logarithmic function

Given the function $n^k$ where $k$ is a constant such that $0<k \leq k_{max}$ where $k_{max}$ is the point at which $n^k$ first intersects with $log_2n$ determine: $k_{max}$ For a given $k$, the ...
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### Why isn't f(x^2) a horizontal stretch of f(x) by a factor of “1/x”?

I know this question seems silly, but it came to mind while reading about transforming functions. Is the statement "y=f(kx) results from scaling the graph of y=f(x) horizontally by a factor of 1/k" ...
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### Plot of a function

What is the plot of: $$y=\frac{\beta(1-\alpha)x}{\alpha(1-\beta)+(\beta-\alpha)x}$$ with $0<\alpha<\beta<1$. How do I handle the parameters? How do I compute the derivatives to check for ...
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### Software to run non-linear regression

We currently use a very old version of StatGraphics and unfortunately it doesn't run on x64 systems. So I am looking for open-source software that may do the same thing as a replacement. Namely we run ...
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### Problem while computing and plotting a table

I want to create a list of numbers, by computing an integral of something divided by a function, and then plot it. ...
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### Shape of a functional curve [closed]

Can someone help me understand the shape and visual of the following functions: z = 36xy + 6( y - x ) - 1.
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### Finding a function with a certain behavior

I'm searching what are the keywords or the good links to expand my researches. I would like to get the equation ( for programming purposes ) of more or less this curve: http://i.stack.imgur.com/...
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### parametric polar equation of a circle

I discovered that Mac's Grapher has a parametric polar mode, i.e. where $r$ and $\theta$ can be specified in terms of a parameter, usually $t$. I am attempting to convert the generic equation for a ...
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### Graphing $\frac{(x-3)}{(x^2-3x)}$ and $1/x$

For graphing the first equation, in the solved example given in the textbook, we proceeded as follows: $\frac{(x-3)}{x^2-3x} \implies \frac{(x-3)}{x(x-3)} \implies \frac{1}{x}$ for $x \neq 3$. Now ...
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### How to shift a line in a graph regardless of slope?

I want to shift a line right some points, regardless of its slope. For example, a vertical line will shift to the right by having its two y coordinates changed, [(x1, y1+some number) (x2, y2+some ...
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### Hi I was wondering if there is any algebraic way to find the zeroes of a cos/sin formula without using the unit circle? [closed]

I understand how to find the zeroes using the unit circle or just graphing it for any matter for my equation. I was just wondering if there is a formula or an algebraic way I could find them. Here'...
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### How to understand $|1+z|<1$ where $z\in\mathbb{C}$ geometrically?

I am trying to understand how to plot $|1+z|<1$ where $z\in\mathbb{C}$, is it a circle centred at real axis $\text{Re}(z)=-1$ with radius $1$? My question is how can we show it algebraically? I ...
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### Discontinous and differentiable

If we have a two functions $f:[-1/2, 2] \to \mathbb{R}$ $g: [-1/2,2] \to \mathbb{R}$ $f(x) = [x^2-3]$ where $[ \cdot ]$ denotes greatest integer $g(x) = |x| f(x) + |4x-7| f(x)$ Now we have to ...
We have to find the number of solutions of $e^((-x^(2))/2)$ + $-x^2 =0$ I tried it and got one solutions by drawing graph. Is I have done correct ? My try is on :
I have several sets of data that exhibit similar "peaks" when viewed as a graph, e.g.: A more useful representation of this data (for my purposes) is ${y = abs(x - 70)}$. The representation of the ...