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The square root of a number N is to be obtained by applying the Newton Raphson iterations to the equation x2 - N = 0, if i denotes the iteration index, the correct iterative scheme will be
  • a)
    xi+1 = (xi + N/xi)/2
  • b)
    xi+1 = (x2i + N/x2i)/2
  • c)
    xi+1 = (xi + N2/xi)/2
  • d)
    xi+1 = (xi - N/xi)/2
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The square root of a number N is to be obtained by applying the Newton...
Given
Now,
f(x) = x2 – N = 0
Differentiating,
f’(x) = 2x
Now,
Using Newton-Raphson Method,

xi+1 = (xi + N/xi)/2
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The square root of a number N is to be obtained by applying the Newton Raphson iterations to the equation x2 - N = 0, if i denotes the iteration index, the correct iterative scheme will bea)xi+1 = (xi + N/xi)/2b)xi+1 = (x2i + N/x2i)/2c)xi+1 = (xi + N2/xi)/2d)xi+1 = (xi - N/xi)/2Correct answer is option 'A'. Can you explain this answer?
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The square root of a number N is to be obtained by applying the Newton Raphson iterations to the equation x2 - N = 0, if i denotes the iteration index, the correct iterative scheme will bea)xi+1 = (xi + N/xi)/2b)xi+1 = (x2i + N/x2i)/2c)xi+1 = (xi + N2/xi)/2d)xi+1 = (xi - N/xi)/2Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The square root of a number N is to be obtained by applying the Newton Raphson iterations to the equation x2 - N = 0, if i denotes the iteration index, the correct iterative scheme will bea)xi+1 = (xi + N/xi)/2b)xi+1 = (x2i + N/x2i)/2c)xi+1 = (xi + N2/xi)/2d)xi+1 = (xi - N/xi)/2Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The square root of a number N is to be obtained by applying the Newton Raphson iterations to the equation x2 - N = 0, if i denotes the iteration index, the correct iterative scheme will bea)xi+1 = (xi + N/xi)/2b)xi+1 = (x2i + N/x2i)/2c)xi+1 = (xi + N2/xi)/2d)xi+1 = (xi - N/xi)/2Correct answer is option 'A'. Can you explain this answer?.
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