GATE ME 2015 Set 3 — Question 53
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Engineering Mathematics → Numerical Methods → Newton-Raphson Method
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Question
Newton-Raphson method is used to find the roots of the equation, . If the initial guess is , then the value of after iteration is ________
Correct answer
0.29 to 0.31
Solution
Given . Its derivative is .
Using the Newton-Raphson formula :
The value after the 2nd iteration is approximately 0.304.
Using the Newton-Raphson formula :
1.First iteration ():
.2.Second iteration ():
.The value after the 2nd iteration is approximately 0.304.
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