Finding the Centroid of a Parabola: Calculating Coordinates for y = 10m

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The equation y = x2 describes a parabola. Find the x and y coordinates of the centroid of the area bounded by this curve, and the line y = 10m
 
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OK, show us what you have tried.
 
I tried to intergrate from -3.16 to 3.16, b/c if you draw a perpinduclar line down from y=10 it intersects the x-axis at those two values. I integrate the given equation y=x^2, but the number I got was 21, so i do not know if it is correct.
 
I think this problem is asking you to determine the centroid of the area below y = 10 m and above y = x^2. Can you calculate the area of the enclosed parabola?
 

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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