1 2 Exercise Two: Systems of nonlinear equations Determine the points of intersection between the circle, x2 + y2 = 3, and the hyperbola, xy = 1. As shown in the plot, there are four roots. However, it is enough to find only one root because the others can be deduced from symmetry. H a) Solve the system of equations using the Successive Substitution method, starting with the initial guess xo = 0.5 and yo = 1.5. Show two complete iterations. b) Solve the system of equations using Newton-Raphson method, starting with the initial guess xo = -0.5 and yo = -1.5. Show two complete iterations. Evaluate Eys for the second iteration. c) Solve the system of nonlinear equations by calling the MATLAB function newtmult. Your solution should achieve an accuracy of 6 significant figures. Report the solution, number of iterations and errors. -2