Use Broyden'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 Broyden'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. 3x21 ˆ’ x22 = 0,
3x1 x22 ˆ’ x31 ˆ’ 1 = 0.
Use x(0) = (1, 1)t.
d. ln(x21 + x22) ˆ’ sin(x1 x2) = ln 2 + ln Ï€,
ex1ˆ’x2 + cos (x1 x2) = 0.
Use x(0) = (2, 2)t.

4x 20x80, 5x1x3 + 2x1-5x2 + 8 = 0.