The nonlinear system x² + y = 11, y² +x = 7 has four solutions. (a) Approximate the solutions graphically. (b) Use the approximations from part (a) as initial approximations for an appropriate function iteration, and determine the solutions to within 10-5 in the l, norm.

Elementary Linear Algebra (MindTap Course List)
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Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 90E: Consider the system of linear equations in x and y. ax+by=ecx+dy=f Under what conditions will the...
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4. The nonlinear system
x² + y = 11, y? +x = 7
has four solutions.
(a) Approximate the solutions graphically.
(b) Use the approximations from part (a) as initial approximations for an
appropriate function iteration, and determine the solutions to within
10-5 in the l norm.
Transcribed Image Text:4. The nonlinear system x² + y = 11, y? +x = 7 has four solutions. (a) Approximate the solutions graphically. (b) Use the approximations from part (a) as initial approximations for an appropriate function iteration, and determine the solutions to within 10-5 in the l norm.
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