Show analytically that Newton's method in the form In(69 – 25x) In+1 46 can be used to estimate v0.92. Use this form of Newton's method, with xo = 1 to estimate v0.92 subject to a tolerance |Tn+1 – In| < 10–4 (All computations at every stage of evaluation should be rounded off correct to 5 decimal places).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Show analytically that Newton's method in the form
In(69 – 25x2)
In+1
46
can be used to estimate v0.92. Use this form of Newton's method, with xo = 1
to estimate v0.92 subject to a tolerance |rn+1 – Tn| < 10-ª (All computations
at every stage of evaluation should be rounded off correct to 5 decimal places).
Transcribed Image Text:Show analytically that Newton's method in the form In(69 – 25x2) In+1 46 can be used to estimate v0.92. Use this form of Newton's method, with xo = 1 to estimate v0.92 subject to a tolerance |rn+1 – Tn| < 10-ª (All computations at every stage of evaluation should be rounded off correct to 5 decimal places).
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