Describing Set of Absolute Maxima for a Concave Function

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Homework Statement



Let f(x) be concave, how do you describe its set of absolute maxima

Homework Equations





The Attempt at a Solution

 
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Are you not even capable of reading the rules for this forum? Show what work you have done on this yourself. If nothing else, at least look up and state the definition of "convex" function.
 

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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