(a) Find the Fourier sine and cosine transform of $f(x) = x^{n-1}$. (b) Find the Fourier sine integral for $f(x) = e^{-\beta x}$. (c) Find the inverse Laplace transform of $\frac{s + 2}{(s^2 - 4s + 1…

(a) Find the Fourier sine and cosine transform of $f(x) = x^{n-1}$. (…

Previous year question with solution for Numerical Methods & Transform Calculus.