Question: Consider the following system: f(x) = 5x 2 + 2y 2 -10 g(x) = x 2 + y -2 Compute the Jacobian of this system

  1. Consider the following system:

f(x) = 5x2+ 2y2-10

g(x) = x2+ y -2

  1. Compute the Jacobian of this system (without MATLAB)
  2. 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).
  3. Use Newtons Method to find the roots of the system to a tolerance of 10-3(with MATLAB).

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