GATE EC 2017 Set 1 — Question 30
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Engineering Mathematics → Calculus → Functions of Single Variable
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Question
Starting with , the solution of the equation , after two iterations of Newton-Raphson's method (up to two decimal places) is ___________.
Correct answer
0.65 to 0.72
Solution
To solve the equation using the Newton-Raphson method, we define the function:
The derivative of the function is:
The Newton-Raphson iteration formula is:
Given the initial guess :Iteration 1:
Iteration 2:
Rounding to two decimal places, the solution is approximately . The official range for the correct answer is to .
The derivative of the function is:
The Newton-Raphson iteration formula is:
Given the initial guess :Iteration 1:
Iteration 2:
Rounding to two decimal places, the solution is approximately . The official range for the correct answer is to .
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