4. Define a function S: Z+ → Z+ as follows: For each positive integer n, S(n) = the sum of the positive divisors of n. Find the following: (a) S(7) = (b) S(9) = (c) S(35) = 5. Let S be the set of all finite strings of a's and b's. . Define f : S → Z as follows: For each string s in S, the number of a's in s if s begins with an a f(s) = the number of b's in s if s begins with a b O if s = €, that is, if s is the empty word Find the following: (a) f(aba) = (b) f(bbab) = (c) What is the range of f? Explain.
4. Define a function S: Z+ → Z+ as follows: For each positive integer n, S(n) = the sum of the positive divisors of n. Find the following: (a) S(7) = (b) S(9) = (c) S(35) = 5. Let S be the set of all finite strings of a's and b's. . Define f : S → Z as follows: For each string s in S, the number of a's in s if s begins with an a f(s) = the number of b's in s if s begins with a b O if s = €, that is, if s is the empty word Find the following: (a) f(aba) = (b) f(bbab) = (c) What is the range of f? Explain.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please actually do it right i’ve been getting Fs on every assignment that I use bartleby for. if you cannot do it reject this question

Transcribed Image Text:4. Define a function S: Z+ → Z+ as follows: For each positive integer n,
S(n) = the sum of the positive divisors of n.
Find the following:
(a) S(7) =
(b) S(9) =
(c) S(35) =
5. Let S be the set of all finite strings of a's and b's. . Define f : S → Z as follows: For
each string s in S,
the number of a's in s if s begins with an a
the number of b's in s if s begins with a b
O if s = €, that is, if s is the empty word
f(s) =
Find the following:
(a) f(aba)
(b) f(bbab) =
(c) What is the range of f? Explain.
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