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Recent questions and answers in Numerical Methods
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GATE2017: 28
The following table lists an $n^{th}$ order polynominal $f(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ and the forward differences evaluated at equally spaced values of $x$. The order of the polynominal is $1$ $2$ $3$ $4$
The following table lists an $n^{th}$ order polynominal $f(x)=a_nx^n+a_{n-1}x^{n-1}+...+a_1x+a_0$ and the forward differences evaluated at equally spaced values of $x$. T...
soujanyareddy13
2.7k
points
soujanyareddy13
asked
Nov 2, 2020
Numerical Methods
gate2017-in
numerical-methods
polynominals
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0
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0
answers
2
GATE2014-27
The iteration step in order to solve for the cube roots of a given number N using the Newton-Raphson’s method is $x_{k+1}=x_k+\frac{1}{3}(N-x^3_k)$ $x_{k+1}=\frac{1}{3}(2x_k+\frac{N}{x^2_k})$ $x_{k+1}=x_k-\frac{1}{3}(N-x^3_k)$ $x_{k+1}=\frac{1}{3}(2x_k-\frac{N}{x^2_k})$
The iteration step in order to solve for the cube roots of a given number N using the Newton-Raphson’s method is $x_{k+1}=x_k+\frac{1}{3}(N-x^3_k)$$x_{k+1}=\frac{1}{3}(...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2014-in
numerical-methods
newton-raphson-method
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–
0
votes
0
answers
3
GATE2013-26
While numerically solving the differential equation $\frac{dy}{dx}+2xy^2=0,\; y(0)=1$ using Euler’s predictor-corrector (improved Euler-Cauchy) method with a step size of 0.2, the value of $y$ after the first step is $1.00$ $1.03$ $0.97$ $0.96$
While numerically solving the differential equation $\frac{dy}{dx}+2xy^2=0,\; y(0)=1$ using Euler’s predictor-corrector (improved Euler-Cauchy) method with a step size ...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2013-in
numerical-methods
improved-euler-cauchy-method
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–
0
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0
answers
4
GATE2012-5
Given $f(z)=\frac{1}{z+1}-\frac{2}{z+3}.$ If $C$ is a counterclockwise path in the $z$-plane such that $|z+1|=1,$ the value of $\frac{1}{2\pi j}\oint_cf(z)dz$ is $-2$ $-1$ $1$ $2$
Given $f(z)=\frac{1}{z+1}-\frac{2}{z+3}.$ If $C$ is a counterclockwise path in the $z$-plane such that $|z+1|=1,$ the value of $\frac{1}{2\pi j}\oint_cf(z)dz$ is$-2$$-1$$...
Milicevic3306
7.9k
points
Milicevic3306
asked
Mar 25, 2018
Numerical Methods
gate2012-in
numerical-methods
cauchys-integral-theorem
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–
0
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0
answers
5
GATE2018IN: 37
Consider the linear system x = $\begin{bmatrix}-1 & 0 \\0 & -2\end{bmatrix} x,$ with initial condition $x(0) = \begin{bmatrix}1 \\1\end{bmatrix}$. The solution $x(t)$ for this system is $x(t) = \begin{bmatrix}e^{-t} & te^{-2t} \\0 & e^{-2t}\end{bmatrix}$ $\begin{bmatrix}1 \\1\end{bmatrix}$ ... $\begin{bmatrix}1 \\1\end{bmatrix}$ $x(t) = \begin{bmatrix}e^{-t} & 0 \\0 & e^{-2t}\end{bmatrix}$ $\begin{bmatrix}1 \\1\end{bmatrix}$
Consider the linear system x = $\begin{bmatrix}-1 & 0 \\0 & -2\end{bmatrix} x,$ with initial condition $x(0) = \begin{bmatrix}1 \\1\end{bmatrix}$. The solution $x(t)$ for...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Numerical Methods
gate2018-in
numerical-methods
linear-system
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