Question: 4. Consider the following system: f(x) = 5x2 + 2y2 -10 g(x) = x2 + y -2 a. Compute the Jacobian of this system (without

4. Consider the following system: f(x) = 5x2 + 2y2 -10 g(x) = x2 + y -2 a. Compute the Jacobian of this system (without MATLAB) b. Plot in the same figure these two functions and the plane z=0. From this plot, select and justify an appropriate initial guess for the root (with MATLAB). C. Use Newton's Method to find the roots of the system to a tolerance of 10-3 (with MATLAB)

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