Question: Problem 5 The LORAN (LOng RAnge Navigation) system calculated the position of a boat at sea using signals from fixed transmitters. From the time differences

Problem 5 The LORAN (LOng RAnge Navigation) system calculated the position of a boat at sea using signals from fixed transmitters. From the time differences of the incoming signals, the boat obtained differences of distances to the transmitters. This led to two equations each representing hyperbolas defined by the differences of distance of two points (foci). An example of such equations are B y? p 32 o ]_2 = 1 (2) (y4)? (z-3) 97 = 4293 - (3) Perform one step of Newton's method to find the location of the boat (z,y), starting with an initial guess of (1,0). (Problem adapted from T. Young, M. Mohlenkamp, 2017) Problem 5 required submission: O Handuwritten (or printed) answers

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