GATE ME 2016 Set 3 — Question 15
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Engineering Mathematics → Numerical Methods → Newton-Raphson Method
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Question
The root of the function obtained after first iteration on application of Newton-Raphson scheme using an initial guess of is
Correct answer
(C) 0.750
Solution
Given .
First derivative: .
Initial guess .
.
.
Newton-Raphson formula: .
For first iteration (): .
Thus, the root after the first iteration is 0.750.
First derivative: .
Initial guess .
.
.
Newton-Raphson formula: .
For first iteration (): .
Thus, the root after the first iteration is 0.750.
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