# Questions tagged [calculus-and-analysis]

Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.

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### How to show critical points of function?

I have the following code: ContourPlot3D[2x*z + 2y*z - y^3 - x^2 - 3z^2, {x, -3, 3}, {y, -3, 3}, {z, -3,3}] which correctly produces a 3D plot of the function ...
1answer
124 views

### Moving a circle on a function

I'm trying to write a code that moves a circle on the graph of a specific function, but I can't find the error in my code. I added values to both coordinates, but the Manipulate fails to count the ...
2answers
90 views

### Why Mathematica is giving “Indeterminate form”

I have an equation for effective potential (Veff). For SS=0, Mathematica gives output, if I take derivate of Veff with respect to r, then I take SS=0, Mathematica gives infinity (indeterminate form). ...
2answers
160 views

### Fast way to check if $f(x)>x$ for what value of $x$

In order to find the value $x$ for which $f(x)>x$, I tried it using the following code: ParallelTable[If[TrueQ[f[x]>x],x,Nothing],{x,0,10^9}] For some ...
4answers
88 views

### Integration of LegendreP

I am trying to integrate a product of 2 Legendre polynomials as follows: Integrate[LegendreP[1, x] LegendreP[2l+1, x], {x, -1, 1}] I get the result: ...
1answer
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1answer
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2answers
120 views

### Simple Physics and Calculus in Mathematica V4

Here is how I used to do this in V4. I can not find an equivalent way in V12. Any ideas would be appreciated.
2answers
265 views

### Numerical solution of an iterative equation

I am trying to solve the following iterative equation: where the parameter tao (needed in the previous equation) is defined as: Here's the parameters and my approach to solving the equation in ...
6answers
1k views

### Tower of Pisa function

I'm trying to construct a 'smooth' function $f : \mathbb{R}^2 \longrightarrow [0,1]$ such that all level sets $$\{ x | f(x)=y\}$$ are circles in a way that $f$ looks like the 'Leaning Tower of Pisa'. ...
1answer
114 views

### Why the integration command for this function gives no answer? [closed]

I have a function wfVAR2[r1, r2] which has the following form: ...
1answer
118 views

### Zeros or minima of a multivariable function [closed]

what is the most reliable method for finding the zeros or at least the minimum of \$f(x,y,z,w,r)= - \frac{3}{96 \pi^{2}z^{4}} \int_{y}^{\infty}\sqrt{x^{2}-y^{2}}x^{2} e^{-x} dx+ \frac{3}{16 \pi^{2}(1-r^...
1answer
74 views

### How can I make an FFT in Mathematica using data from a file? [closed]

I need to calculate the seismic moment of an earthquake data, but I don't know how the FFT is applied in some data, my data is a plain text that I must import it to Mathematica ...