(a) Find the Laplace transform of full wave rectified $\sin$ wave giv…

Question

(a) Find the Laplace transform of full wave rectified $\sin$ wave given by $f(t) = \sin wt, 0 < t < \frac{\pi}{w}$.

(b) Find the inverse Laplace transform of $\frac{3s + 1}{(s - 1)(s^2 + 1)}$.

(c) Find the Fourier cosine transform of $f(x) = e^{-2x} + 4e^{-3x}$.

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