Please use Python for the following :

Exercise 3.12: Compute the length of a path 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: (zo, yo), (xi, y2), ..., (xn, y). The total length L of the path from (zo, yo to (Xn,yn) is the sum of all the individual line segments (x,-1,Vi-1) to TL (xi - xi-1)2 +(yi yi-1)2. (3.16) a) Make a Python function pathlength (x, y) for computing L accord- ing to the formula. The arguments x and y hold all the ro,..., Tn and yo, , Jn coordinates, respectively. b) Write a test function test pathlength() where you check that pathlength returns the correct length in a test