a) Find the inverse Fourier transform of $\frac{S}{S^2 + 1}$. b) Find…

Previous year question for Numerical Methods & Transform Calculus.

Question

a) Find the inverse Fourier transform of $\frac{S}{S^2 + 1}$.

b) Find Fourier sine and cosine transform of $f(t) = \begin{cases} t, & 0 \le t < 1 \\ 2-t, & 1 \le t < 2 \\ 0, & \text{otherwise} \end{cases}$

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