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Thanks 3. [35 points] Consider the two systems of nonlinear equations (A). x3=y2,xy=3; (B). (x+y2)=4,xy=2. (a). Obtain the Jacobian matrices for the systems of equations.

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3. [35 points] Consider the two systems of nonlinear equations (A). x3=y2,xy=3; (B). (x+y2)=4,xy=2. (a). Obtain the Jacobian matrices for the systems of equations. (b). Obtain the master equations in x or y for each system of nonlinear equations. Identify all roots of the master equations using the Matlab function roots(coeff). Obtain the corresponding sets of x and y. (c). For appropriate initial guess in the master equation for system B, obtain the next two guesses using Newton's method. (d). Obtain the real valued solutions of the two systems of equations using Matlab function fsolve

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