GATE CE 2022 Set 1 — Question 29
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Engineering Mathematics → Numerical Solution of Equations → Newton-Raphson Method
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Question
Consider the following recursive iteration scheme for different values of variable with the initial guess :For is obtained to be 1.414, rounded-off to three decimal places. For is obtained to be 1.732, rounded-off to three decimal places.If , the numerical value of is _________ . (round off to three decimal places)
Correct answer
3.1 to 3.2
Solution
The given iteration scheme is the Newton-Raphson method for finding the square root of , derived from .The iteration formula is:For and initial guess :
1.
2.
3.
4.
Rounding to three decimal places, the value of is 3.162.Continue learning with Success Tracker
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