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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Can't find the area of a polar region

I've ran into a bit of a stopper on this one problem. I solved this other problem like this yesterday but this one seems to cancel itself out to zero. I'm not sure what I'm doing wrong with this ...
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Differentiation with polar coordinates

I'm sorry if this is supposed to be something basic but I'm not being able to understand if r is as given above, how have they worked out r dot? What have they differentiated the x,y and z coordinates ...
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Why the degree change of the following polar form

From the following image: Why was $\theta$ changed to 3.08 instead of -3.12? Confused about that point. Details about the image: converting rectangular form to polar = $5^5$ ∠ $5 * -0.64$
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Converting this complex number to polar form?

Given $z = -1 - i$ ,I converted it to polar form, resulting r =$\sqrt 2$. And $\theta = \tan^{-1} (\frac{-1}{-1}$) = 0.785 rads, which seems incorrect with the solutions of my instructor I don't ...