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GATE2015-2-27
0
votes
The surface integral $\displaystyle{} \int \int_{s}^{ }\dfrac{1}{\pi }(9xi-3yj)\cdot nds$ over the sphere given by $x^2+y^2+z^2=9$ is
gateme-2015-set2
numerical-answers
calculus
integrals
area-under-curve
asked
Feb 24, 2017
in
Calculus
♦
Arjun
24.6k
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Mar 4
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♦
Lakshman Patel RJIT
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GATE ME 2013 | Question: 26
The following surface integral is to be evaluated over a sphere for the given steady velocity vector field $F$ = $xi$ + $yj$+ $zk$ defined with respect to a Cartesian coordinate system having $i$, $j$ and $k$ ... is the outward unit normal vector to the sphere. The value of the surface integral is $\pi$ $2\pi$ $3\pi/4$ $4\pi$
The following surface integral is to be evaluated over a sphere for the given steady velocity vector field $F$ = $xi$ + $yj$+ $zk$ defined with respect to a Cartesian coordinate system having $i$, $j$ and $k$ as unit base vectors. $\iint_{s}^{ }\frac{1}{4}(F.n)dA$ ... $\pi$ $2\pi$ $3\pi/4$ $4\pi$
asked
Feb 19, 2017
in
Calculus
piyag476
1.4k
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gateme-2013
calculus
integrals
area-under-curve
0
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GATE2016-2-26
A scalar potential $\varphi$ has the following gradient: $\bigtriangledown \varphi =yz\hat{i}+xz\hat{j}+xy\hat{k}$ . Consider the integral $\int_{c}^{ }\bigtriangledown \varphi .d\overrightarrow{r}$ on the curve $\overrightarrow{r}=x\hat{i}+y\hat{j}+z\hat{k}$. The curve $C$ ... . The value of the integral is ________
A scalar potential $\varphi$ has the following gradient: $\bigtriangledown \varphi =yz\hat{i}+xz\hat{j}+xy\hat{k}$ . Consider the integral $\int_{c}^{ }\bigtriangledown \varphi .d\overrightarrow{r}$ on the curve $\overrightarrow{r}=x\hat{i}+y\hat{j}+z\hat{k}$. The curve $C$ is ... . The value of the integral is ________
asked
Feb 24, 2017
in
Calculus
Arjun
24.6k
points
gateme-2016-set2
numerical-answers
calculus
integrals
vector-identities
0
votes
0
answers
GATE2019 ME-1: 2
A parabola $x=y^2$ with $0 \leq x \leq 1$ is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by $360^{\circ}$ around x-axis is $\dfrac{\pi}{4} \\$ $\dfrac{\pi}{2} \\$ ${\pi} \\$ $2 \pi$
A parabola $x=y^2$ with $0 \leq x \leq 1$ is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by $360^{\circ}$ around x-axis is $\dfrac{\pi}{4} \\$ $\dfrac{\pi}{2} \\$ ${\pi} \\$ $2 \pi$
asked
Feb 9, 2019
in
Calculus
Arjun
24.6k
points
gateme-2019-set1
calculus
area-under-curve
0
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GATE2015-2-3
Curl of vector $V(x,y,z)=2x^2i+3z^2j+y^3k$ at $x=y=z=1$ is $-3i$ $3i$ $3i-4j$ $3i-6k$
Curl of vector $V(x,y,z)=2x^2i+3z^2j+y^3k$ at $x=y=z=1$ is $-3i$ $3i$ $3i-4j$ $3i-6k$
asked
Feb 24, 2017
in
Calculus
Arjun
24.6k
points
gateme-2015-set2
calculus
divergence-and-curl
0
votes
0
answers
GATE2015-2-2
At $x$ = $0$, the function $f(x) = \mid x \mid $ has a minimum a maximum a point of inflexion neither a maximum nor minimum
At $x$ = $0$, the function $f(x) = \mid x \mid $ has a minimum a maximum a point of inflexion neither a maximum nor minimum
asked
Feb 24, 2017
in
Calculus
Arjun
24.6k
points
gateme-2015-set2
calculus
maxima-minima
...