Comments:
1. In Q1, some students left the answer in terms of $ X(\omega) $, but the question asks for the peaks in X[k]. Note there is a relationship between $ X(\omega) $ and X[k]:
$ X[k]=X(\omega)|_{\omega=2{\pi}k/N} $ for k = 0,1,...,N-1
The approach to solving this question is to solve for the exact $ \omega $ at which the peaks occur in $ X(\omega) $, and finding the k value that corresponds to the peaks.
2. To find the number of complex operations, note that a complex operation is defined as consisting of 1 addition AND 1 multiplication. Please refer to Professor Allebach's Spring 2007 Exam2 solutions Question3b for a good example of computing number of complex operations.
