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1. The convergence of which of the following method is sensitive to starting value?
False position
Gauss seidal method
Newton-Raphson method
All of these
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2. Newton-Raphson method is used to find the root of the equation x2 - 2 = 0If iterations are started from - 1, then iterations will be
If iterations are started from - 1, then iterations will be
converge to -1
converge to √2
converge to -√2
no coverage
3. Which of the following statements applies to the bisection method used for finding roots of functions?
Converges within a few iterations
Guaranteed to work for all continuous functions
Is faster than the Newton-Raphson method
Requires that there be no error in determining the sign of the function
4. We wish to solve x2 - 2 = 0 by Newton Raphson technique. If initial guess is x0 = 1.0, subsequent estimate of x (i.e. x1) will be
1.414
1.5
2.0
None of these
5. Using Newton-Raphson method, find a root correct to three decimal places of the equation x3 - 3x - 5 = 0
2.275
2.279
2.222
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