Exercise 1.2.18 A school has three clubs and each stu- dent is required to belong to exactly one club. One year the students switched club membership as follows: switch to C. switch to C. switch to B. If the fraction of the student population in each club is unchanged, find each of these fractions. Club A. remain in A, Club B. remain in B, 7 10 10 2 10 switch to B, switch to A, 2 Club C. remain in C, switch to A, 10 10
Exercise 1.2.18 A school has three clubs and each stu- dent is required to belong to exactly one club. One year the students switched club membership as follows: switch to C. switch to C. switch to B. If the fraction of the student population in each club is unchanged, find each of these fractions. Club A. remain in A, Club B. remain in B, 7 10 10 2 10 switch to B, switch to A, 2 Club C. remain in C, switch to A, 10 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
please answer Exercise 1.2.18 :)
![You must choose one problem from each category below. All exercise numbers are
from the Nicholson textbook & [+], and page numbers are given.
For each problem you do, you must
I
1. Show the system of equations used to set up the problem.
2. Define the variables you use.
3. Show the initial matrix used in the problem.
4. Show the reduced row-echelon form of the matrix.
If you use
technology to get the RREF of the matrix, identify which technology you used
(Calculator, Octave, MATLAB, or identify other tech).
5. Answer the question posed in one or more sentences.
Category A: Mixture Problems
1.2.21 (p. 19) SE.19 (p. 34)
Category B: Flow Problems
1.2.18 (p. 19) 1.4.1 part a (p. 29)
1.5.3 (p. 31)
(p. 29)
Category C: Chemical Reactions & Miscellaneous Problems
1.6.1 (p. 33) 1.6.2 (p. 33)
1.6.3 (p. 33)
1.6.4 (p. 33)
19)
SE.1.10 (p. 34)
SE.1.12 (p. 34)
1.4.2 part a (p. 29)
1.4.3 both parts
1.2.20 (p.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fdef185-de8b-42f5-933e-8018dcf36541%2F1488745a-043f-48fd-8682-4df12d7a4e7f%2Fc9vhr6a_processed.png&w=3840&q=75)
Transcribed Image Text:You must choose one problem from each category below. All exercise numbers are
from the Nicholson textbook & [+], and page numbers are given.
For each problem you do, you must
I
1. Show the system of equations used to set up the problem.
2. Define the variables you use.
3. Show the initial matrix used in the problem.
4. Show the reduced row-echelon form of the matrix.
If you use
technology to get the RREF of the matrix, identify which technology you used
(Calculator, Octave, MATLAB, or identify other tech).
5. Answer the question posed in one or more sentences.
Category A: Mixture Problems
1.2.21 (p. 19) SE.19 (p. 34)
Category B: Flow Problems
1.2.18 (p. 19) 1.4.1 part a (p. 29)
1.5.3 (p. 31)
(p. 29)
Category C: Chemical Reactions & Miscellaneous Problems
1.6.1 (p. 33) 1.6.2 (p. 33)
1.6.3 (p. 33)
1.6.4 (p. 33)
19)
SE.1.10 (p. 34)
SE.1.12 (p. 34)
1.4.2 part a (p. 29)
1.4.3 both parts
1.2.20 (p.
Transcribed Image Text:Exercise 1.2.18 A school has three clubs and each stu-
dent is required to belong to exactly one club. One year
the students switched club membership as follows:
switch to C.
switch to C.
switch to B.
If the fraction of the student population in each club
is unchanged, find each of these fractions.
Club A. remain in A,
Club B. remain in B,
7
10
10
2
10
switch to B,
switch to A,
2
Club C. remain in C, switch to A,
10
10
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