Recent questions in Non GATE

2 votes
2 answers
1384
1 votes
0 answers
1386
Consider the series $x_{n+1} = \frac{x_n}{2}+\frac{9}{8x_n},x_0 = 0.5$ obtained from the Newton-Raphson method. The series converges to1.5$\sqrt{2}$1.61.4
3 votes
1 answer
1387
Newton-Raphson method is used to compute a root of the equation $x^2 - 13 = 0$ with 3.5 as the initial value. The approximation after one iteration is3.5753.6763.6673.607...
0 votes
1 answer
1390
The Newton-Raphson iteration $X_{n+1} = (\frac{X_n}{2}) + \frac{3}{(2X_n)}$ can be used to solve the equation$X^2 =3$$X^3 =3$$X^2 =2$$X^3 =2$
1 votes
1 answer
1391
The trapezoidal rule for integration gives exact result when the integrand is a polynomial of degree0 but not 11 but not 00 or 12
30 votes
3 answers
1392
Consider the polynomial $p(x) = a_0 + a_1x + a_2x^2 + a_3x^3$ , where $a_i \neq 0$, $\forall i$. The minimum number of multiplications needed to evaluate $p$ on an input ...
1 votes
1 answer
1397
4 votes
0 answers
1398
1 votes
1 answer
1399
The Newton-Raphson iteration $x_{n+1} = \frac{1}{2}\left(x_n+\frac{R}{x_n}\right)$ can be used to compute thesquare of R reciprocal of R square root of R l...
1 votes
3 answers
1400
The minimum number of equal length subintervals needed to approximate $\int_1^2 xe^x\,dx$ to an accuracy of at least $\frac{1}{3}\times10^{-6}$ using the trapezoidal rule...