SHOW YOUR COMPLETE SOLUTION AND GIVE WHAT IS ASKED. 1A.) Apply Newton’s method to find the root(s) of the function: f(x) = (8)x 3 – (8)x 2 – (8)x + 1 = 0. starting with initial point (a) x 0 = 1.0. and at what iteration does it give the final answer? Use tolerance of tol = 0.1. (b) x 0 = 3.0.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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SHOW YOUR COMPLETE SOLUTION AND GIVE WHAT IS ASKED.

1A.) Apply Newton’s method to find the root(s) of the function: f(x) = (8)x 3 – (8)x 2 – (8)x + 1 = 0. starting with initial
point (a) x 0 = 1.0. and at what iteration does it give the final answer? Use tolerance of tol = 0.1.
(b) x 0 = 3.0.

1. (a) _______________ iteration no. = ______
(b) ______________ iteration no. = ______

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