Spherical and cylindrical coordinates, not a problem

seto6
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Homework Statement



do we only use spherical and cylindrical coordinates for triple integrals? or for double too?


thanks for your replies in advance
 
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Depends on the integral in question & purpose

As they are 3 dimensional coordinate systems, they are often used in "triple integrals" for volumetric evaluation

But for example if you were integrating to find the surface area of a sphere in 3D, this would be evaluated as a "double integral" in spherical coordinates
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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