Recent questions and answers in Others

Periodic function $f(x)$ is given below.\[f(x)=\left\{\begin{array}{lll}-1, & \text{when} & -\pi < x < 0 \\1, & \text{when} & 0 < x < \pi\end{array}\right\};\; f(x+2\pi)...

Vector field $\vec{V}$ is defined as\[\vec{V}=3 x^{2} y z \hat{\imath}-5 x y \hat{\jmath}+6 y z^{2} \hat{k}\]The curl of $\vec{V}$ at point $(2,-1,1)$ is$6 \hat{\imath}-1...

It is given that $x$ and $y$ are integers in the following equation:\[(x+y-7)^{2}+(y+3 x-13)^{2}=0\]The value of $\left(x^{3}+y^{3}\right)$ is $\_\_\_\_$ (in integer).

The following consecutive readings (in m) were taken with a dumpy level and a levelling staff at a common interval of $20$ m:\[0.385 ; 1.030 ; 1.925 ; 2.825 ; 3.730 ; 4.8...