(a) Order the following functions by growth rate. If there are two functions that grow at the same rate, then indicate that.

• N
• N
• N^1.5
• N²
• N log N
• N log log N
• N log(N²)
• 2/N
• 2^N
• 2^N/2
• 37
• N² log N
• N³

(b) Which grows faster, N log(N²) or N² log N? Why?