Optimizing Aircraft Approach Path with Stewart Calculus

Bobby_RSV
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http://www.stewartcalculus.com/data...ndentals/upfiles/projects/ess_wp_0205_stu.pdf

I'm sure this question has already been asked in some form so if I'm repeating, my apologies. I’m not looking for an answer (not trying to have others do my work for me). However, I could use a little help in understanding the background information for this problem. That is, what specifically (mathematically) is being asked? What particular laws or equations come into play here? Understanding specifically what is being asked in a word problem has always been my weak point. Thanks in advance.
 
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hey BobbyRSV

its being asked to find a cubic polynomial that satisfies certina constarints and you need to define those constraints to satisfy the information in the problem

have ago and i'll help

cheers - Dane
 
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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