The man who is now Municipal Commissioner worked as ____________________.
Find the odd one in the following group of words.
mock, deride, praise, jeer
Pick the odd one from the following options.
In a quadratic function, the value of the product of the roots $ (\alpha,\beta) $ is 4. Find the value of
$\frac{{\alpha}^{n}+{\beta}^{n}}{{\alpha}^{-n}+{\beta}^{-n}}$
All hill-stations have a lake. Ooty has two lakes.
Choose the correct expression for f(x) given in the graph.
Consider a 3×3 matrix with every element being equal to 1. Its only non-zero eigenvalue is ____.
The Laplace Transform of $f\left(t\right)={e}^{2t}\mathrm{sin}\left(5t\right)u\left(t\right)$ is
A function $ y(t) $, such that $ y(0)=1 $ and $ y(1)=3e^{-1} $,is a solution of the differential equation $\frac{{d}^{2}y}{d{t}^{2}}+2\frac{dy}{dt}+y=0.$ Then $ y(2) $ is
The value of the integral
$\oint_c\frac{2z+5}{\left(z-{\displaystyle\frac12}\right)\left(z^2-4z+5\right)}dz$
over the contour $\left|z\right|=\mathrm{1,}$taken in the anti-clockwise direction, would be
The transfer function of a system is $\frac{Y\left(S\right)}{R\left(S\right)}=\frac{S}{S+2}$ The steady state output $ y(t) $ is $Acos\left(2t+\phi \right)$ for the input $\mathrm{cos}\left(2t\right)$ The values of $A\mathrm{and}\phi $ respectvely are
The phase cross-over frequency of the transfer function $G\left(S\right)=\frac{100}{{\left(S+1\right)}^{3}}$ in rad/s is
Consider a continuous-time system with input $x\left(t\right)$ and output $y\left(t\right)$ given by
$y\left(t\right)=x\left(t\right)\mathrm{cos}\left(t\right)$
The value of $ \int\limits_{-\infty}^{+\infty}\mathrm e^{-\mathrm t}\mathrm\delta\left(2\mathrm t-2\right)\mathrm{dt} $ where $\delta \left(t\right)$ is the Dirac delta function, is