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MATH IA (FINDING LENGTH OF A CURVED ROAD)

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Hello i've decided to do my math ia on finding the length of a curved road

These are the steps i need to follow to find the length of the road :

Find the road on google maps 

Find a curve that fits the road but i don't know ho to fit the curve into the road by polynomial regression and matrices 

next i need to find the arc length through calculus

does anyone knows or ever did a math ia on the topic pls reply im in dire need of help idk what to do 

here's a link to a file explaining the steps to find polynomial regression :

http://web.iitd.ac.in/~pmvs/courses/mel705/curvefitting.pdf

i dont understand the part where the person mentioned about least squares approach regarding polynomial functions and how she derived the formula 

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Here's a good starting point for calculus on arc lengthhttp://tutorial.math.lamar.edu/Classes/CalcII/ArcLength.aspx

I'm assuming you're comparing polynomial regression to using calculus as methods to calculate length... but do you have a way to find out how long the road actually is? You need a reference to be able to compare those two methods.

Edited by tim9800
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