Derive fourier transform of function - parallellogram law

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Reference no: EM13562995

a) Prove the following "Parallellogram law'' for two complex numbers z and w:

2186_Derive the general solution of the identity.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

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

Reference no: EM13562995

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