GATE CE 2015 Set 2 — Question 12
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Engineering Mathematics → Numerical Solution of Equations → Newton-Raphson Method
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Question
In Newton-Raphson iterative method, the initial guess value () is considered as zero while finding the roots of the equation: . The correction, , to be added to in the first iteration is ________________.
Correct answer
0.3 to 0.4
Solution
The Newton-Raphson iteration formula is .
The correction to be added to is .
Given .
First derivative: .
Initial guess .
.
.
Correction .
The correction to be added to is .
Given .
First derivative: .
Initial guess .
.
.
Correction .
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