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2 Consider the nonlinear system defined by 2x x 10x 0 0 25 sin x cos x 0 a Show that the fixed point iteration

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2 Consider the nonlinear system defined by 2x x 10x 0 0 25 sin x cos x 0 a Show that the fixed point iteration applied to the system will converge to its solution whe 7 72 is restricted to the domain D 0 1 You may define g x x 2x x 10 and g2 x1 x2 0 25 sin x1 cos x2 b Starting with 7 0 0 0 compute using fixed point iteration on

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