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**Exercise 13**: (9 points) Let \( D \) be the set of finite subsets of positive integers. Let \( S \) be the set of all positive integers greater than or equal to 2. Define a function \( T: S \rightarrow D \) as follows: For each integer \( n \geq 2, \ T(n) = \) the set of all even factors of \( n \). a) Find \( T(10) \). b) Find \( T(17) \). c) Find \( T(m) \), where \( m \) is any odd positive integer.

**Exercise 13**: (9 points) Let \( D \) be the set of finite subsets of positive integers. Let \( S \) be the set of all positive integers greater than or equal to 2. Define a function \( T: S \rightarrow D \) as follows: For each integer \( n \geq 2, \ T(n) = \) the set of all even factors of \( n \). a) Find \( T(10) \). b) Find \( T(17) \). c) Find \( T(m) \), where \( m \) is any odd positive integer.

Advanced Engineering Mathematics
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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**Exercise 13**: (9 points) Let \( D \) be the set of finite subsets of positive integers. Let \( S \) be the set of all positive integers greater than or equal to 2. Define a function \( T: S \rightarrow D \) as follows: For each integer \( n \geq 2, \ T(n) = \) the set of all even factors of \( n \). a) Find \( T(10) \). b) Find \( T(17) \). c) Find \( T(m) \), where \( m \) is any odd positive integer.
Transcribed Image Text:**Exercise 13**: (9 points) Let \( D \) be the set of finite subsets of positive integers. Let \( S \) be the set of all positive integers greater than or equal to 2. Define a function \( T: S \rightarrow D \) as follows: For each integer \( n \geq 2, \ T(n) = \) the set of all even factors of \( n \). a) Find \( T(10) \). b) Find \( T(17) \). c) Find \( T(m) \), where \( m \) is any odd positive integer.
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