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The iteration step in order to solve for the cube roots of a given number Nusing the Newton- Raphson’s method is
- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
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The iteration step in order to solve for the cube roots of a given num...
Concept:
Let x0 be an approximation root of f(x) = 0 and x1 = x0th be the correct root so that f(x1) = 0 expanding f(x0th) by Taylor's series we obtain
Neglecting the second and higher order derivatives we have f(x0) + hf'(x0) = 0
A better approximation than x0 is therefore given by x1, where x1 = x0 + h =
successive approximations are given by x2, x3 ....xn+1 where 
For pth root of a given number N, is not of equation f(x) = xp - N = 0
Iteration equation:
for cube root, put p = 3
Therefore, option (2) is correct one.
Let x0 be an approximation root of f(x) = 0 and x1 = x0th be the correct root so that f(x1) = 0 expanding f(x0th) by Taylor's series we obtain
Neglecting the second and higher order derivatives we have f(x0) + hf'(x0) = 0
A better approximation than x0 is therefore given by x1, where x1 = x0 + h =
successive approximations are given by x2, x3 ....xn+1 where For pth root of a given number N, is not of equation f(x) = xp - N = 0
Iteration equation:
for cube root, put p = 3
Therefore, option (2) is correct one.
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The iteration step in order to solve for the cube roots of a given number Nusing the Newton- Raphson’s method isa)b)c)d)Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 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 iteration step in order to solve for the cube roots of a given number Nusing the Newton- Raphson’s method isa)b)c)d)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The iteration step in order to solve for the cube roots of a given number Nusing the Newton- Raphson’s method isa)b)c)d)Correct answer is option 'B'. Can you explain this answer?.
The iteration step in order to solve for the cube roots of a given number Nusing the Newton- Raphson’s method isa)b)c)d)Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2025 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 iteration step in order to solve for the cube roots of a given number Nusing the Newton- Raphson’s method isa)b)c)d)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The iteration step in order to solve for the cube roots of a given number Nusing the Newton- Raphson’s method isa)b)c)d)Correct answer is option 'B'. Can you explain this answer?.
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