Use Newton's method to find a solution to the following nonlinear systems in the given domain. Iterate

Question:

Use Newton's method to find a solution to the following nonlinear systems in the given domain. Iterate until ||x(k) − x(k−1)||∞ < 10−6.
a. 3x21 − x22 = 0,
3x1x22 − x31 − 1 = 0.
Use x(0) = (1, 1)t .
b. ln x21 + x22 − sin(x1 x2) = ln 2 + ln π,
ex1−x2 + cos(x1 x2) = 0.
Use x(0) = (2, 2)t.
c.

Use x(0) = (−1,−2, 1)t.
d.

Use x(0) = (0, 0, 0)t.