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Some object is moving along a path in the plane. At n+1 points of time we have recorded the corresponding (x, y) positions of the object: (x0,y0), (x1,y1), ..., (xn, yn). The total length L of the path from (x0,y0) to (xn, yn) is the sum of all the individual line segments ((xiβˆ’1,yiβˆ’1) to (xi, yi), i=1,...,n): L=βˆ‘i=1n(xiβˆ’xiβˆ’1)2+(yiβˆ’yiβˆ’1)2βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’ βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆ’βˆš. Write a function pathlength( x, y ) for computing L according to the formula. The arguments x and y hold all the x0,...,xn and y0,...,yn coordinates, respectively. (You may assume x and y are lists of the same length.) (This assignment is based on Langtangen, Exercise 3.17a.)

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