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Numerical Method Analysis :
Solve the following system using Gauss seidal iterative method with initial guess (0, 0, 0) and tolerance 0.001. $\left\{\begin{matrix} 2x_{1}-3x_{2}+x_{3} = 5\\ x_{1}+4x_{2}+12x_{3} = 10\\ 6x_{1}+x_{2}+5x_{3} = 9 \end{matrix}\right.$
Solve the following system using Gauss seidal iterative method with initial guess (0, 0, 0) and tolerance 0.001.$\left\{\begin{matrix} 2x_{1}-3x_{2}+x_{3} = 5\\ x_{1}+4x_...
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Numerical Method Analysis : Help...
Use Secant method to find roots of: $x^3-2x^2+3x-5=0$ $x+1 = 4sinx$ $e^x = x + 2$
Use Secant method to find roots of:$x^3-2x^2+3x-5=0$$x+1 = 4sinx$$e^x = x + 2$
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3
Numerical Method Analysis : Help....
Use NR method to find a root of the equation with tolerance x=0.00001. $x^3-2x-5=0$ $e^x-3x^2=0$
Use NR method to find a root of the equation with tolerance x=0.00001.$x^3-2x-5=0$$e^x-3x^2=0$
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4
Numerical Method Analysis : Help...
Use Bisection method to find all roots of $x^3 – 5x + 3 = 0$
Use Bisection method to find all roots of $x^3 – 5x + 3 = 0$
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5
Numerical Method Analysis : Help...
Use Bisection method to find the root of the following equation with tolerance 0.001. $x^4 - 2x^3 - 4x^2 + 4x + 4 = 0$ $x^3 – e^x + sin(x) = 0$
Use Bisection method to find the root of the following equation with tolerance 0.001.$x^4 - 2x^3 - 4x^2 + 4x + 4 = 0$$x^3 – e^x + sin(x) = 0$
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6
NIELIT 2021 Dec Scientist B - Section B: 60
One root of $x^{3} – x – 4 = 0$ lies in $(1, 2).$ In bisection method, after first iteration the root lies in the interval ___________ . $(1, 1.5)$ $(1.5, 2)$ $(1.25, 1.75)$ $(1.75, 2)$
One root of $x^{3} – x – 4 = 0$ lies in $(1, 2).$ In bisection method, after first iteration the root lies in the interval ___________ .$(1, 1.5)$$(1.5, 2)$$(1.25, 1....
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7
NIELIT 2016 MAR Scientist B - Section B: 7
In which of the following methods proper choice of initial value is very important? Bisection method False position Newton-Raphson Bairsto method
In which of the following methods proper choice of initial value is very important?Bisection methodFalse positionNewton-RaphsonBairsto method
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GATE CSE 1987 | Question: 1-xxiv
The simplex method is so named because It is simple. It is based on the theory of algebraic complexes. The simple pendulum works on this method. No one thought of a better name.
The simplex method is so named because It is simple.It is based on the theory of algebraic complexes.The simple pendulum works on this method.No one thought of a better n...
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3 answers
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GATE IT 2006 | Question: 28
The following definite integral evaluates to $\int_{-\infty}^{0} e^ {-\left(\frac{x^2}{20} \right )}dx$ $\frac{1}{2}$ $\pi \sqrt{10}$ $\sqrt{10}$ $\pi$
The following definite integral evaluates to$$\int_{-\infty}^{0} e^ {-\left(\frac{x^2}{20} \right )}dx$$$\frac{1}{2}$$\pi \sqrt{10}$$\sqrt{10}$$\pi$
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10
NIELIT 2017 DEC Scientist B - Section B: 3
Using bisection method, one root of $x^4-x-1$ lies between $1$ and $2$. After second iteration the root may lie in interval: $(1.25,1.5)$ $(1,1.25)$ $(1,1.5)$ None of the options.
Using bisection method, one root of $x^4-x-1$ lies between $1$ and $2$. After second iteration the root may lie in interval:$(1.25,1.5)$$(1,1.25)$$(1,1.5)$None of the opt...
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12
GATE CSE 2008 | Question: 21
The minimum number of equal length subintervals needed to approximate $\int_1^2 xe^x\,dx$ to an accuracy of at least $\frac{1}{3}\times10^{-6}$ using the trapezoidal rule is 1000e 1000 100e 100
The minimum number of equal length subintervals needed to approximate $\int_1^2 xe^x\,dx$ to an accuracy of at least $\frac{1}{3}\times10^{-6}$ using the trapezoidal rule...
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NIELIT 2016 MAR Scientist C - Section B: 1
Choose the most appropriate option. The Newton-Raphson iteration $x_{n+1}=\dfrac{x_{n}}{2}+\dfrac{3}{2x_{n}}$ can be used to solve the equation $x^{2}=3$ $x^{3}=3$ $x^{2}=2$ $x^{3}=2$
Choose the most appropriate option.The Newton-Raphson iteration $x_{n+1}=\dfrac{x_{n}}{2}+\dfrac{3}{2x_{n}}$ can be used to solve the equation$x^{2}=3$$x^{3}=3$$x^{2}=2$$...
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GATE CSE 1994 | Question: 3.4
Match the following items (i) Newton-Raphson (a) Integration (ii) Runge-Kutta (b) Root finding (iii) Gauss-Seidel (c) Ordinary Differential Equations (iv) Simpson's Rule (d) Solution of Systems of Linear Equations
Match the following items(i) Newton-Raphson(a) Integration(ii) Runge-Kutta(b) Root finding(iii) Gauss-Seidel(c) Ordinary Differential Equations(iv) Simpson's Rule(d) Solu...
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5 votes
2 answers
15
GATE2015 EC-1: GA-5
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is $343/125$ $25/343$ $-25/49$ $-49/25$
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is$343/125$$25/343$$-25/49$$-49/25$
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2 votes
1 answer
16
GATE CSE 1988 | Question: 1i
Loosely speaking, we can say that a numerical method is unstable if errors introduced into the computation grow at _________ rate as the computation proceeds.
Loosely speaking, we can say that a numerical method is unstable if errors introduced into the computation grow at _________ rate as the computation proceeds.
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8 votes
1 answer
18
ISRO2009-44
A root $\alpha$ of equation $f(x)=0$ can be computed to any degree of accuracy if a 'good' initial approximation $x_0$ is chosen for which $f(x_0) > 0$ $f (x_0) f''(x_0) > 0$ $f(x_0) f'' (x_0) < 0$ $f''(x_0) >0$
A root $\alpha$ of equation $f(x)=0$ can be computed to any degree of accuracy if a 'good' initial approximation $x_0$ is chosen for which$f(x_0) 0$$f (x_0) f''(x_0) 0$...
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