# 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 ...
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 ...
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). ...
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 ...
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### 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: ...
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### 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.
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 ...
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'. ...
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: ...