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### Marking points of intersection between two curves

I'm trying to illustrate the solutions numerically and graphically for an equation such as Tan[x] == x. I think I did everything ok except I wanted to mark each ...
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### Symbolic area calculation for a parametric self-intersecting closed curve

The parametric equation of the curve is: $$\begin{cases} x &= -9 \sin (2 t)-5 \sin (3 t) \\[6pt] y & = 9 \cos (2 t)-5 \cos (3 t) \end{cases}\quad t\in[0,2\pi]$$ which can be easily ...
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### Finding all possible solutions to a math mind game

In the example below the letters shall be replaced by numbers. The numbers are from 1 to 9, and each letter has the same number (...
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### Finding intersection of two graphs

Here is a toy problem: I have a (directional) line that starts from {2,0} and goes through {1.8, 0.01}. Also I have a ...
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### How to find where a parametric curve overlaps itself, problem with calculation?

This should work? But it is giving me the wrong t values
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### Is there a solution for this equation?

When I try to solve this equation using Mathematica: ...
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### ParametricPlot3D Self Intersection

I would like to know where my ParametricPlot3D intersects itself and to extract all intersections (points, lines, surfaces...) to animate them by changing ...
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### Marking specific points on a 3D curve

Here is the curve below. (written as a position vector) r = {Cos[7 Pi*t], Cos[6.2*Pi*t], 2.5*t} ParametricPlot3D[r, {t, 0, 2}] I want to know how I can mark ...
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### Why doesn't Roots work on a certain quartic polynomial equation?

Bug introduced in 9.0 or earlier and fixed in 10.0 In everything that follows I am using Roots to get the solutions to the equations. I start off with this ...
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### How do I know the calculation time of an equation solving?

Solve[ Sqrt[Abs[x]^2+Abs[-5+y]^2]+Sqrt[Abs[-5+x]^2+Abs[y]^2] +Sqrt[Abs[5+x]^2+Abs[y]^2]+Sqrt[Abs[x]^2+Abs[5+y]^2]==24 && -6 < x < 6, y] ...
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### FindRoot in range

I am trying to find all roots in a range, using y /. FindRoot[Sin[y] == 0, {y, #}] & /@ Range which gives ...