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Exercise Two: Systems of nonlinear equations Determine the points of intersection between the circle, x2 + y2 = 3, and the hyperbola, xy = 1.

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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. a) Solve the system of couations using the Succaiu Subtituti 18+ 2 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 &s for the second iteration

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