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(Solved): Show the steps of each equation. BC:3.3 For each of the following systems, the input is \( x[n] \) ...
![BC:3.3 For each of the following systems, the input is \( x[n] \) and the output is \( y[n] \). For each system determine if](https://media.cheggcdn.com/media/cc3/cc3a2792-fad1-4fa0-8ce6-715c613bdcee/phprCpvpX)
Show the steps of each equation.
BC:3.3 For each of the following systems, the input is \( x[n] \) and the output is \( y[n] \). For each system determine if the system is linear and if the system is time invariant. Briefly justify your answer. a.) \[ y[n]=-400 x[n-10]+160 x[n+10] \] b.) \[ y[n]=25-13 x[n+4] \] c.) \[ y[n]=0.5 x[2-3 n] \] d.) \[ y[n]=(0.5 \angle 0.25 \pi)^{x[n]} \] e.) \[ y[n]=x[n-1] \cdot x[n+3] \]