Use Newton's method with x(0) = 0 to compute x(2) for each of the following nonlinear systems. a. b. sin(4Ï x1 x2) 2x2 x1 =

Use Newton's method with x(0) = 0 to compute x(2) for each of the following nonlinear systems.
a.

b. sin(4Ï€ x1 x2) ˆ’ 2x2 ˆ’ x1 = 0,

c. x1(1 ˆ’ x1) + 4x2 = 12,
(x1 ˆ’ 2)2 + (2x2 ˆ’ 3)2 = 25.
d. 5x21 ˆ’ x22 = 0,
x2 ˆ’ 0.25(sin x1 + cos x2) = 0.

4x2-20ri +TX5 + 8 = 0, 1x1x2 +2x1-5x2 + 8 = 0. 4