Homework 5

This assignment is due by the beginning of class on Friday, March 6th. Be sure to review the homework guidelines before getting started.

• From Strayer, Chapter 3, do the following problems:
• 26
• 31
• 42(g)
• 43
• 46
• 52
• 60
• 66 [Hint: Prove that the function h defined by $h(d) = \mu(d)f(d)$ is multiplicative]
• Evaluate $(f*g)(12)$ in the following cases
• $f = \mu, g= \sigma_2$
• $f=\nu, g= \phi$
• $f = \phi, g = \sigma$
• For a certain arithmetic function f, you are told that $f(1) = 3, f(4) = 2, f(8) = 5, f(12) = 1$. You are also told that $(f * \mu)(24) = 100$. What is $f(24)$?