Question 2: Consider the nonlinear system -x1 + 10x2 - cos(x1-x2) - 2 = 0 10x, + x2 + sin (x, + x2) – 1 = 0 (a) Find a bounded set D c R? and a function G: D → R? such that G has a unique fixed-point...

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Extracted text: Question 2: Consider the nonlinear system -x1 + 10x2 - cos(x1-x2) - 2 = 0 10x, + x2 + sin (x, + x2) – 1 = 0 (a) Find a bounded set D c R? and a function G: D → R? such that G has a unique fixed-point p' in D that is also a solution to the nonlinear system. (b) Approximate the solution p to within 10-3 in the loo norm. Use the initial guess (0.036, 0.29)'.