3. For x[n] = {1, 1, 0, 0), y[n] = {1, 0, 1, 0), evaluate circular convolution z[n] = x[n] Ⓡy[n] (b) By utilizing a DFT property. That is, first calculate X[k] and Y[k], the DFTs of x[n] and y[n], and then calculate the inverse DFT of Z[k] = X[k]Y[k].

1. Show that the function y(x)= Ax" (A and n are constants) will give a straight line on a log- %3D log plot. Find the slope and y-intercept of this line.

30. Suppose ,m) is a common eigenvector of î² and î₂ . Then î²|l,m) = Î₂|l,m) = Î ± |l,m) = = (1,m|L²|1',m) (1,m|L₂|I',m') (1,m|L₂|1',m') = =