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Recent questions tagged engineering-mathematics
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GATE2020-ME-1: 19
For three vectors $\overrightarrow{A}=2\widehat{j}-3\widehat{k},\:\overrightarrow{B}=-2\widehat{i}+\widehat{k}\:\:\text{and}\:\overrightarrow{C}=3\widehat{i}-\widehat{j},\:\text{where}\:\widehat{i},\:\widehat{j}\:\text{and}\:\widehat{k}$ are ... system, the value of $\left ( \overrightarrow{A}.\left ( \overrightarrow{B}\times \overrightarrow{C} \right )+6 \right )$ is __________.
go_editor
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Engineering Mathematics
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
engineering-mathematics
0
answers
0
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GATE2020-ME-1: 35
Consider two exponentially distributed random variables $\text{X and Y}$, both having a mean of $0.50$. Let $Z=X+Y$ and $r$ be the correlation between $\text{X and Y}$.If the variance of $Z$ equals $0$, then the value of $r$ is __________ (roundoff to $2$ decimal places).
go_editor
asked
in
Engineering Mathematics
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
engineering-mathematics
differential-equation
random-variables
0
answers
0
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GATE2019 ME-2: 27
A diffferential equation is given as $x^2 \frac{d^2y}{dx^2} – 2x \frac{dy}{dx} +2y =4$ The solution of the differential equation in terms of arbitrary constants $C_1$ and $C_2$ is $y=C_1x^2 +C_2 x+2 \\$ $y=\dfrac{C_1}{x^2} +C_2x+2 \\$ $y=C_1x^2+C_2x+4 \\$ $y=\dfrac{C_1}{x^2}+C_2x+4$
Arjun
asked
in
Engineering Mathematics
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
engineering-mathematics
differential-equation
0
answers
0
votes
GATE ME 2012 | Question: 35
The inverse Laplace transform of the function $F(s) = \dfrac{1}{s(s+1)}$ is given by $f(t) = \sin t$ $f(t) = e^{-t} \sin t$ $f(t) = e^{-t}$ $f(t) = 1-e^{-t}$
Andrijana3306
asked
in
Others
Mar 20, 2018
by
Andrijana3306
1.5k
points
gate2012-m
engineering-mathematics
differntial-equations
0
answers
0
votes
GATE2015-3-24
Let $\phi$ be an arbitrary smooth real valued scalar function and $\overrightarrow{V}$ be an arbitrary smooth vector valued function in a three-dimensional space. Which one of the following is an identity? Curl$(\phi \overrightarrow{V})$ = $\bigtriangledown$($\phi$ ... $\overrightarrow{V}=0$ Div($(\phi \overrightarrow{V})$ ) = $\phi$ Div$\overrightarrow{V}$
Arjun
asked
in
Calculus
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set3
vector-identities
calculus
engineering-mathematics
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 5
The definite integral $\int_{1}^{3}\dfrac{1}{x}$ is evaluated using Trapezoidal rule with a step size of $1$. The correct answer is _______
Arjun
asked
in
Numerical Methods
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set3
numerical-answers
numerical-methods
integration-by-trapezoidal-and-simpsons-rule
engineering-mathematics
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