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GATE2015-3-43
Arjun
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Numerical Methods
Feb 24, 2017
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Mar 4, 2021
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Lakshman Patel RJIT
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Newton-Raphson method is used to find the roots of the equation, $x^3+3x^2+3x-1=0$. If the initial guess is $x_0=1$, then the value of $x$ after $2^{nd}$ iteration is ________
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Arjun
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Numerical Methods
Feb 24, 2017
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Lakshman Patel RJIT
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GATE2015-3-13
Using a unit step size, the value of integral $\int_{1}^{2}x \ln x dx$ by trapezoidal rule is ________
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Mar 1, 2021
GATE Mechanical 2021 Set 2 | Question: 35
Find the positive real root of $x^3-x-3=0$ using Newton-Raphson method. lf the starting guess $(x_{0})$ is $2,$ the numerical value of the root after two iterations $(x_{2})$ is ______ ($\textit{round off to two decimal places}$).
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Numerical Methods
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Arjun
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Numerical Methods
Feb 24, 2017
GATE2016-1-5
Solve the equation $x=10\cos(x)$ using the Newton-Raphson method. The initial guess is $x=\pi /4$. The value of the predicted root after the first iteration, up to second decimal, is ________
Arjun
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Numerical Methods
Feb 24, 2017
by
Arjun
27.4k
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gateme-2016-set1
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Arjun
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Numerical Methods
Feb 24, 2017
GATE2016-3-5
The root of the function $f(x) = x^3+x-1$ obtained after first iteration on application of Newton-Raphson scheme using an initial guess of $x_0=1$ is $0.682$ $0.686$ $0.750$ $1.000$
Arjun
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Numerical Methods
Feb 24, 2017
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Arjun
27.4k
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gateme-2016-set3
numerical-methods
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Arjun
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Numerical Methods
Feb 24, 2017
GATE2015-3-51
For the linear programming problem: $\begin{array}{ll} \text{Maximize} & Z = 3X_1 + 2X_2 \\ \text{Subject to} &−2X_1 + 3X_2 \leq 9\\ & X_1 − 5 X_2 \geq −20 \\ & X_1, X_2 \geq 0 \end{array}$ The above problem has unbounded solution infeasible solution alternative optimum solution degenerate solution
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