This practice GATE test includes only numerical methods questions which are part of the GATE mathematics question paper. Along with previous year papers also solve GATE practice questions to be prepared for GATE 2012 exam.
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The accuracy of Simpson’s rule quadrature for a Step size ‘h’ is …...............
In which of the following methods proper choice of initial value is very important ?
False position
Bisection method
Bairsto method
Newton-Raphson
The Newton-Raphson method is used to find the root of the equation . If iterations are started from -1, the iteration will be….......
converge to -1
not converge
converge to
The Newton-Raphson iteration can be used to solve the equation …......
Using Bisection method find the negative root of . Correct to three decimal places…......
-2.706
-2.406
None of these
-2.506
The root of correct to three decimal places by using Newton-Raphson method is …......
0.7011
1.7321
1.0404
2.0946
Newton-Raphson iteration formula for finding , where C>0, is….........
Which of the following statements applies to the bisection method used for finding roots of functions ?
Guaranteed to work for all contenuous functions
Requires that there be no error in determining the sign of the function.
is faster than the Newton-Raphson method
Converges with in a few iterations
which of the following statements is TRUE in respect of the converges of the Newton-Raphson procedure ?
It converges always under all circumstances
It does not converge to a tool where the second differential co-efficient changes sign.
It does not converge to a root where the second differential coefficient vanishes.
The iteration formula to find the square root of a positive real number by using the Newton-Raphson method is…........
none of these
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