Signals and Sys...

The value of the Integral \(\mathop{\int }_{-5}^{1}7{{e}^{{{t}^{2}}}}\cos t\delta \left( t-2 \right)dt\) is _________.

If a signal and its even part is x[n] and x_e[n] respectively, then which out of the following relation must be true

A discrete time signal is given as \(f\left( n \right) = \sin \left( {\frac{{n\pi }}{3}} \right)\left[ {u\left( n \right) - u\left( {n - 4} \right)} \right]\). The energy of the signal is_____W (Correct up to two decimal places)

Consider the signal \(x\left( t \right) = \cos \frac{{2{\rm{\pi }}}}{3}t + 2\sin \frac{{16\pi }}{3}t\)

y(t) = sin π t

The Period of the signal x(t) y(t) is ___________