GATE CE 2016 Set 1 — Question 11
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Engineering Mathematics → Numerical Solution of Equations → Newton-Raphson Method
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Question
Newton-Raphson method is to be used to find root of equation . If the initial trial value for the root is taken as 0.333, the next approximation for the root would be _________ (note: answer up to three decimal)
Correct answer
0.355 to 0.365
Solution
Given the function .
Its derivative is .
The Newton-Raphson iteration formula is .
Given :
Rounding to three decimal places, the next approximation is 0.360.
Its derivative is .
The Newton-Raphson iteration formula is .
Given :
1.Calculate :
2.Calculate :
3.Calculate :
Rounding to three decimal places, the next approximation is 0.360.
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