Chapter Questions
Fourier cosine transform of $f(t)$ in
Fourier sine transform of $1 / x$ is
Convolution theorem for Fourier transforms states that ......
If Fourier transorm of $f(x)$ is $F(d)$, then the inversion formula is w
$F\left[x^{n} f(x)\right]=\ldots \ldots$
If $F(f(x) \mid=F(s)$, then $F U f(x-a)]=\ldots \ldots$
Fourier sine integral representation of a function $f(x)$ is given tay ...
If $\boldsymbol{F}_{e}(f(a x)\}=k F_{e}(s / a)$, then $k=$
Fourier transform of second derivative of $u(x, t)$ is .....
If $f(x)=\left\{\begin{array}{ll}1, & 0 \leq x \leq \pi \\ 0, & x>\pi\end{array}\right.$, then Fourier tine integral of $f(x)$ is
Fourier sine transform of $f^{\prime}(x)$ in the interval $(0, D)$ is .......
If $F(2)$ is the Fourier transform of $f(x)$, then the Fourier transform of $f(\alpha x)$ is ........
Invene finite Fourier sine traneform of $F,(p)=\frac{1-\cos p \pi}{(p \pi)^{2}}$ for $p=1,2,3, \ldots$ and $0<x<\pi$ in
If Fourier transform of $f(x)=F(a)$, then Fourier Transform of $f(2 x)$ is
Fourier cosine transform of $e^{-x}$ is
$f(x)=1,0<x<m$ eannot be represented by a Fourier integral.
$\int_{0}^{\infty}|f(x)|^{2} d x=\int_{0}^{-}\left|F_{c}(s)\right|^{2} d x$.
Fourier transform is a linear operation.
$F_{s}[x f(x)]=-\frac{d}{d s} F_{z}(s)$
Kernel of Fourier traneform is e".
Finite Fourier cosine trunsform of $f(x)=1 \ln (0, \pi)$ is $x-80$.