a) Prove the following "Parallellogram law'' for two complex numbers z and w:
![2186_Derive the general solution of the identity.png](https://secure.tutorsglobe.com/CMSImages/2186_Derive%20the%20general%20solution%20of%20the%20identity.png)
b) Let f(x) = x - Cos(x)
Show that the equation f(x) = x - cos(x)=0 has only one solution x0 in the interval (Π/6, Π/4).
a) Derive the general solution of the identity:
(dy/dx + y)ex = x.
a) Derive the Fourier Transform of the function:
![798_Derive the general solution of the identity1.png](https://secure.tutorsglobe.com/CMSImages/798_Derive%20the%20general%20solution%20of%20the%20identity1.png)
b) Using the result in Q4(a), plot the Fourier Transform graph
c) Apply the convolution theorem to functions:
f(x) = e-αx2
g(x) = e-bx2