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consider the signal x(n)=x1(n)+x2(n) where z tarnsform of x1(n)= X1(z)=8/(1+.05z^-1) and ROC which includes the unit...

consider the signal x(n)=x1(n)+x2(n) where z tarnsform of x1(n)= X1(z)=8/(1+.05z^-1) and ROC which includes the unit circle and x2(n)? has a fourier transform given by X2(e^jw) = 6/(1-2e) a) determine and sketch x1(n) an9nd x2(n) and hence x(n) b) find X2(Z) and its ROC c) assuming y(n)= (1.5)^n x(n) find Y(z) and hence, the poles and zeros of the ROC d) plot the fourier transform of y(n) if it exists

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