Use the answers obtained in Exercise 3 as initial approximations to Newton's method. Iterate until || x(k) x(k1)|| In exercise a. b. sin(4Ïx1 x2) 2x2

Use the answers obtained in Exercise 3 as initial approximations to Newton's method. Iterate until || x(k) ˆ’ x(kˆ’1)||ˆž In exercise
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.

4x2-20X1 + + 8 = 0. 4 4