search
Log In
0 votes

A parametric curve defined by $x= \cos \left ( \dfrac{\Pi u}{2} \right ), y= \sin \left ( \dfrac{\Pi u}{2} \right )$ in the range $0 \leq u \leq 1$ is rotated about the $X$-axis by $360$ degrees. Area of the surface generated is 

  1. $\dfrac{\Pi }{2} \\$
  2. $\pi \\$
  3. $2 \pi \\$
  4. $4 \pi$
in Calculus 24.6k points
recategorized by

Please log in or register to answer this question.

Answer:

Related questions

0 votes
0 answers
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
0 votes
0 answers
For the vector $\vec{V}=2yz\hat{i}+3xz \hat{j}+4xy \hat{k}$, the value of $\bigtriangledown$. $(\bigtriangledown \times \vec{V})$ is ________.
asked Feb 27, 2017 in Calculus Arjun 24.6k points
0 votes
0 answers
The value of $\displaystyle{}\lim_{x \rightarrow 0}\dfrac{x^{3}-\sin(x)}{x}$ is $0$ $3$ $1$ $-1$
asked Feb 27, 2017 in Calculus Arjun 24.6k points
0 votes
0 answers
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 $0$ $\frac{-\pi }{4}$ $\frac{-\pi }{2}$ $\frac{\pi }{4}$
asked Feb 19, 2017 in Calculus Arjun 24.6k points
0 votes
0 answers
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
...