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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
29 Dec 2021

Given information

Step-by-step explanation

Step 1.
 
  
Differentiate with respect to $x$
  
It is given that the $x$-coordinate of the earths location is 1 , from the figure we can see that    is a good initial approximation.
Newtons Method
If the -th approximation is  and   , then the next approximation is given by
  
Substitute    and  
  
    
Note that:    when approximated to 5 digits
Therefore,   is the required solution.

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