menu
search
Log In
Welcome to GO Mechanical, where you can ask questions and receive answers from other members of the community.
Top Users Sep 2021
  1. Siva Nagaraju

    110 Points

  2. Paras Kamble VG

    110 Points

  3. studygate

    20 Points


GO

GATE Mechanical 2014 Set 1 | Question: 26

0 votes

The integral $\oint_{c}^{ } (ydx-xdy)$ is evaluated along the circle $x^2+y^2=\frac{1}{4}$ traversed in counter clockwise direction. The integral is equal to

  1. $0$
  2. $\frac{-\pi }{4}$
  3. $\frac{-\pi }{2}$
  4. $\frac{\pi }{4}$
in Calculus ♦ 24.6k points
recategorized by ♦

Please log in or register to answer this question.

← Prev Question Next Question →
← Prev. Qn. in Cat. Next Qn. in Cat. →
Answer:

Related questions

0 votes
0 answers
GATE ME 2012 | Question: 11
The area enclosed between the straight line $y=x$ and the parabola $y=x^2$ in the $x-y$ plane is $1/6$ $1/4$ $1/3$ $1/2$
The area enclosed between the straight line $y=x$ and the parabola $y=x^2$ in the $x-y$ plane is $1/6$ $1/4$ $1/3$ $1/2$
asked Mar 20, 2018 in Calculus Andrijana3306 1.5k points
0 votes
0 answers
GATE Mechanical 2014 Set 4 | Question: 26
If $z$ is a complex variable, the value of $\displaystyle{} \int_{5}^{3i}\dfrac{dz}{z}$ is $− 0.511−1.57i$ $− 0.511+1.57i$ $0.511− 1.57i$ $0.511+1.57i$
If $z$ is a complex variable, the value of $\displaystyle{} \int_{5}^{3i}\dfrac{dz}{z}$ is $− 0.511−1.57i$ $− 0.511+1.57i$ $0.511− 1.57i$ $0.511+1.57i$
asked Feb 19, 2017 in Calculus Arjun 24.6k points
0 votes
0 answers
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 points
0 votes
0 answers
GATE Mechanical 2021 Set 2 | Question: 26
The value of $\int_{0}^{^{\pi }/_{2}}\int_{0}^{\cos\theta }r\sin\theta \:dr\:d\theta$ is $0$ $\frac{1}{6}$ $\frac{4}{3}$ $\pi$
The value of $\int_{0}^{^{\pi }/_{2}}\int_{0}^{\cos\theta }r\sin\theta \:dr\:d\theta$ is $0$ $\frac{1}{6}$ $\frac{4}{3}$ $\pi$
asked Mar 1 in Calculus jothee 4.9k points
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
Dark theme
Muffin by Hélio Chun
Thanks to Q2A
...