2. By replacing f in Problem 1 with certain well-known multiplicative functions prove (a) E \u(d)| = 2~(w). din (b) u(d)\r(d) = 3-(m), (c) lH(d)lp(d) - IIp. din pin This says that if we take the sum of p(d) over the squarefree divisors d of n, then we get the largest squarefree divisor of n. 3. Prove that if n is squarefree, then every positive divisor of n is squarefree. Use this to prove that if n is squarefree, then the formula in Problem 2(c) simplifies to Gauss' formula n. din

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A: