List of top Engineering Mathematics Questions on Fourier series asked in TS PGECET

If \[ f(x,y,z,w)=x^{2}e^{2y+3z}\cos(4w), \] then \[ \frac{\partial f}{\partial z} \] at \((2,0,-2,1)\) is

If $f(x)=e^{-x}$ in $(-1,1)$ and the Fourier series of $f(x)$ is given by \[ f(x)=\frac{a_0}{2}+\sum_{n=1}^{\infty}(a_n\cos nx+b_n\sin nx), \] then the Fourier coefficient $a_0$ is:

If \[ f(x,y,z,w)=x^{2}e^{2y+3z}\cos(4w), \] then \[ \frac{\partial f}{\partial z} \] at \((2,0,-2,1)\) is