1. (25 pts) Consider the nonlinear system = e x2 + y2 2 sin(y) 1. a) Use Newton's method to find a solution to this syst
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1. (25 pts) Consider the nonlinear system = e x2 + y2 2 sin(y) 1. a) Use Newton's method to find a solution to this syst
1. (25 pts) Consider the nonlinear system = e x2 + y2 2 sin(y) 1. a) Use Newton's method to find a solution to this system. Output the entries of your solution and the residual (if you are solving 0 = F(x), the residual of x is ||F(x)||and should be close to zero). b) It turns out this problem has exactly two solutions. Find the second one.
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