Struggling with Math Homework? E(t) Term Got You Stuck?

GottaLoveMath
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Homework Statement


Please see the attached file.

Homework Equations

The Attempt at a Solution


If my math is right so far, I am basically stuck as to what to do with the E(t) term. [/B]
 

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It looks like this is a function of t, so E(t) = t.
 
The rest all looks right to me.
By the way, normally just posting an attachment is frowned upon. Especially one that won't open using the forum's built-in viewer options.
 
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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