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GATE2015-1-3
Arjun
asked
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Numerical Methods
Feb 24, 2017
recategorized
Mar 4, 2021
by
Lakshman Patel RJIT
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Simpson’s $\dfrac{1}{3}$ rule is used to integrate the function $f(x)=\dfrac{3}{5}x^2+\dfrac{9}{5}$ between $x = 0$ and $x=1$ using the least number of equal sub-intervals. The value of the integral is ______________
gateme-2015-set1
numerical-answers
numerical-methods
Arjun
asked
in
Numerical Methods
Feb 24, 2017
recategorized
Mar 4, 2021
by
Lakshman Patel RJIT
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The values of function $f(x)$ at $5$ discrete points are given below: $\begin{array}{|l|l|l|l|l|l|} \hline x & 0& 0.1 & 0.2 & 0.3 & 0.4 \\ \hline f(x) & 0 & 10 & 40& 90 & 160 \\ \hline \end{array}$ Using Trapezoidal rule with step size of $0.1$, the value of $\int_{0}^{0.4}f(x)dx$ is __________
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GATE Mechanical 2014 Set 3 | Question: 39
Consider an objective function $Z(x_1,x_2)=3x_1+9x_2$ and the constraints $x_1+x_2 \leq 8$ $x_1+2x_2 \leq 4$ $x_1 \geq 0$ , $x_2 \geq 0$ The maximum value of the objective function is _______
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The definite integral $\int_{1}^{3}\dfrac{1}{x}$ is evaluated using Trapezoidal rule with a step size of $1$. The correct answer is _______
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