i need

1) mathmatical solution

2)flow chart

A input :number

B IF else condition

3) the code in matlap

4) out put

Signal g(t) is given as g(t) = 4e-2 cos[20(10)t]u(t) 1. (a) Find the Fourier transform of g(t), i.e., G(S). 2. (b) Find the DFT of g(t) when the sampling interval is 0.05 s with N = 1300 3. (e) Find the DFT of g(t) when the sampling interval is 0.5 s with N= 370. 4. (d) Compare the results obtained from parts a, b, and c. I Signal g(t) is given as g(t) = 4e-2 cos[20(10)t]u(t) 1. (a) Find the Fourier transform of g(t), i.e., G(S). 2. (b) Find the DFT of g(t) when the sampling interval is 0.05 s with N = 1300 3. (e) Find the DFT of g(t) when the sampling interval is 0.5 s with N= 370. 4. (d) Compare the results obtained from parts a, b, and c