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If possible, please write code in Python or some language for this problem. Given conditions: Tom cat is chasing Jerry mouse. Velocity of cat: = 4m/s Velocity of mouse: VmVmax - Ks Maximum velocity of mouse max 3m/s dS Initially, S,-100m Exact solution is s(t)- maxVe (1 - e-kt) + Soe-1kt Questions: I. If K = 0.02s-1, use : 10-4, N = 1000. Bisection method with initial interval [0, 300]. TOL Newton's method (initial guess - 300) - Secant method ([0, 300]) and the method of false position to compute how long it takes Tom to catch Jerry. Compare your answers with the exact solution you derived. Find relative error Redo the same using K = 10-9s-1. Compute the limit as k 0 and compare with your numerical result. Give explanation of your results. 2