Apply Newton's method to the equation f(x) = x² –2 = 0 to estimate the root a* = /2. Starting with an appropriate initial guess, the root accurate to at-least three significant digits is given by: 1. 1.4111 2. 1.4133 3. 1.5121 4. 1.4142

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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Apply Newton's method to the equation f(x) = x² – 2 = 0 to estimate the root a* = v2. Starting
with an appropriate initial guess, the root accurate to at-least three significant digits is given by:
1. 1.4111
2. 1.4133
3. 1.5121
4. 1.4142
Transcribed Image Text:Apply Newton's method to the equation f(x) = x² – 2 = 0 to estimate the root a* = v2. Starting with an appropriate initial guess, the root accurate to at-least three significant digits is given by: 1. 1.4111 2. 1.4133 3. 1.5121 4. 1.4142
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