Linked Questions

9 votes
4 answers
3k views

How do you find the self-intersection points of a single parametric trigonometric function? [duplicate]

How do you use Solve or FindRoot or other Mathematica functions to find the points at which the graph of ${\bf a}(t) = 3 \cos (3....
Bez's user avatar
  • 91
3 votes
4 answers
905 views

Find Where a Parametric Equation Overlaps [duplicate]

I have a parametric equation: r[t_] = {2.9 Cos[3.2 Pi t], Sin[4 Pi t] + 5 t}; which overlaps at a point in the $\{-x, y\}$ region of a plot. I'm trying to ...
Kevin's user avatar
  • 41
40 votes
2 answers
18k views

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 ...
fiz's user avatar
  • 676
17 votes
2 answers
1k views

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 ...
LCFactorization's user avatar
12 votes
2 answers
2k views

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 (...
partial81's user avatar
  • 3,081
4 votes
1 answer
6k views

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 ...
user5131's user avatar
  • 145
6 votes
5 answers
591 views

How to find where a parametric curve overlaps itself, problem with calculation?

This should work? But it is giving me the wrong t values
Autumn's user avatar
  • 61
4 votes
4 answers
1k views

Is there a solution for this equation?

When I try to solve this equation using Mathematica: ...
Kimou's user avatar
  • 109
11 votes
2 answers
722 views

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 ...
chkone's user avatar
  • 145
2 votes
3 answers
1k views

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 ...
Lebouski's user avatar
1 vote
2 answers
459 views

Polar graph of the Riemann zeta function

I would like to plot a complex graph of the Riemann zeta function on the Argand diagram $ς(s)$, where $s = \frac{1}{2} + i t $, and the value of $t$ is varied to get a graph in the polar form. Can ...
keshav Ramesh's user avatar
6 votes
2 answers
703 views

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 ...
user6818's user avatar
  • 1,171
4 votes
2 answers
485 views

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] ...
kittygirl's user avatar
  • 707
0 votes
1 answer
4k views

Finding the intersection of two graphs [duplicate]

I'm having difficulty with finding the intersecting point of two graphs. Here is what I have done so far: Plot[{8*n^2, 64*n*Log2[n]}, {n, 0, 100}] which produces ...
user avatar
2 votes
0 answers
3k views

FindRoot in range

I am trying to find all roots in a range, using y /. FindRoot[Sin[y] == 0, {y, #}] & /@ Range[7] which gives ...
martin's user avatar
  • 8,152

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