# Tagged Questions

Questions on polar coordinates, a coordinate system where points are represented by their distance from the origin ($r$) and the angle the line joining the point and the origin makes with the positive horizontal axis ($\theta$).

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### polar system in a plane?

what is a polar system in a plane and how it helps in calculating integrals in certain areas? I'm looking for a good explanation/a fair/ readable source on the matter.
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### Geometric interpretation of $\frac{dr}{d\theta}$ in Cartesian Coordinates

You'll have to excuse me if this questions is extremely trivial; it's been years since I went back to elementary calculus and I humbly accept that I haven't really gotten deep into polar equations/...
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### How to prove this ODE is stable but not asymptotically stable?

Consider the ODE in polar coordinates: $$r'=f(r),\theta ' =1$$ where $$f(r)=r\sin (1/r^2), r\neq 0, f(0)=0.$$ show that the origin is stable but not asymptotically stable.
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### Polar to cartesian equation conversion

I have a polar equation defined as: $r = ae^{θ \tan m}$ where, $a$ and $m$ are constants, $θ$ is the angle between the horizontal axis from the origin $(x_c,y_c)$ to the coordinate. $e$ refers to ...
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### How might I read “$\cos\left(\theta\right):\sin\left(\theta\right):1::x:y:r$”?

In the book I'm reading, A Course in Pure Mathematics, the author writes the following when introducing polar coordinates in section 22: \begin{align}\cos\left(\theta\right):\sin\left(\theta\right):1:...