The second harmonic component of the periodic waveform given in the figure has an amplitude of

x(t) is a positive rectangular pulse from t = -1 to t = +1 with unit height as shown in the figure. The value of $$\int_{-\infty}^\infty\left|X\left(\omega\right)\right|^2d\omega$$ {where X($$\mathrm\omega$$) is the Fourier transform of x(t)} is

Given f(t) and g(t)as shown below: The Laplace transform of g(t) is

Given f(t) and g(t)as shown below: g(t) can be expressed as