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

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

b. x21 + x2 ˆ’ 37 = 0,
x1 ˆ’ x22 ˆ’ 5 = 0,
x1 + x2 + x3 ˆ’ 3 = 0.
c. 15x1 + x22 ˆ’ 4x3 = 13,
x21 + 10x2 ˆ’ x3 = 11,
x32 ˆ’ 25x3 = ˆ’22.
d. 10x1 ˆ’ 2x22 + x2 ˆ’ 2x3 ˆ’ 5 = 0,
8x22 + 4x23 ˆ’ 9 = 0,
8x2 x3 + 4 = 0.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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