High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
Expert Solution & Answer
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Chapter 10.1, Problem 18PPSE
Solution

To find:The graph of the equation 4x2+4y2−20=0 , the conic section represented by the equation, the description about the graph, lines of symmetry, domain and range.

The graph of the given equation is drawn.

  High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11, Chapter 10.1, Problem 18PPSE , additional homework tip 1

The conic section is a circle. The circle is centered at origin with radius 2.24 units. It has infinite lines of symmetries which are lines passing through origin. The domain is the set of all x values so that −2.24≤x≤2.24 and range is the set of all real numbers y with −2.24≤y≤2.24 .

Given information:The equation 4x2+4y2−20=0 is given.

Explanation:

Find the value of y for x=−4:

  4(−4)2+4y2−20=064+4y2−20=04y2=−44y2=−11

Square of a real number cannot be negative, hence the above equation do not have any solution.

In the same manner, find the value of y for some other values of x:

    x−4−3−2−101234
    y--±1±2±2.24±2±1--

Plot the points:

  High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11, Chapter 10.1, Problem 18PPSE , additional homework tip 2

Draw the graph by connecting the points.

  High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11, Chapter 10.1, Problem 18PPSE , additional homework tip 3

The conic section is a circle.

  High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11, Chapter 10.1, Problem 18PPSE , additional homework tip 4

The circle is centered at origin with radius 2.24 units. It has infinite lines of symmetries which are lines passing through origin.

Domain is the set of all x values so that the equation is well-defined and range is the set of all y values so that the equation is well-defined.

From the graph it is clear that the domain is the set of all x values so that −2.24≤x≤2.24 and range is the set of all real numbers y with −2.24≤y≤2.24 .

Conclusion: The graph of the given equation is drawn.

  High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11, Chapter 10.1, Problem 18PPSE , additional homework tip 5

The conic section is a circle. The circle is centered at origin with radius 2.24 units. It has infinite lines of symmetries which are lines passing through origin. The domain is the set of all x values so that −2.24≤x≤2.24 and range is the set of all real numbers y with −2.24≤y≤2.24 .

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Chapter 10.1, Problem 17PPSE
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Chapter 10.1, Problem 19PPSE

Chapter 10 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 10.1 - Prob. 1LCCh. 10.1 - Prob. 2LCCh. 10.1 - Prob. 3LCCh. 10.1 - Prob. 4LCCh. 10.1 - Prob. 5LCCh. 10.1 - Prob. 6LCCh. 10.1 - Prob. 7PPSECh. 10.1 - Prob. 8PPSECh. 10.1 - Prob. 9PPSECh. 10.1 - Prob. 10PPSE
Ch. 10.1 - Prob. 11PPSECh. 10.1 - Prob. 12PPSECh. 10.1 - Prob. 13PPSECh. 10.1 - Prob. 14PPSECh. 10.1 - Prob. 15PPSECh. 10.1 - Prob. 16PPSECh. 10.1 - Prob. 17PPSECh. 10.1 - Prob. 18PPSECh. 10.1 - Prob. 19PPSECh. 10.1 - Prob. 20PPSECh. 10.1 - Prob. 21PPSECh. 10.1 - Prob. 22PPSECh. 10.1 - Prob. 23PPSECh. 10.1 - Prob. 24PPSECh. 10.1 - Prob. 25PPSECh. 10.1 - Prob. 26PPSECh. 10.1 - Prob. 27PPSECh. 10.1 - Prob. 28PPSECh. 10.1 - Prob. 29PPSECh. 10.1 - Prob. 30PPSECh. 10.1 - Prob. 31PPSECh. 10.1 - Prob. 32PPSECh. 10.1 - Prob. 33PPSECh. 10.1 - Prob. 34PPSECh. 10.1 - Prob. 35PPSECh. 10.1 - Prob. 36PPSECh. 10.1 - Prob. 37PPSECh. 10.1 - Prob. 38PPSECh. 10.1 - Prob. 39PPSECh. 10.1 - Prob. 40PPSECh. 10.1 - Prob. 41PPSECh. 10.1 - Prob. 42PPSECh. 10.1 - Prob. 43PPSECh. 10.1 - Prob. 44PPSECh. 10.1 - Prob. 45PPSECh. 10.1 - Prob. 46PPSECh. 10.1 - Prob. 47PPSECh. 10.1 - Prob. 48PPSECh. 10.1 - Prob. 49PPSECh. 10.1 - Prob. 50PPSECh. 10.1 - Prob. 51PPSECh. 10.1 - Prob. 52PPSECh. 10.1 - Prob. 53PPSECh. 10.1 - Prob. 54PPSECh. 10.1 - Prob. 55PPSECh. 10.1 - Prob. 56PPSECh. 10.1 - Prob. 57PPSECh. 10.1 - Prob. 58PPSECh. 10.1 - Prob. 59PPSECh. 10.1 - Prob. 60PPSECh. 10.1 - Prob. 61PPSECh. 10.1 - Prob. 62PPSECh. 10.1 - Prob. 63PPSECh. 10.1 - Prob. 64PPSECh. 10.1 - Prob. 65PPSECh. 10.1 - Prob. 66PPSECh. 10.1 - Prob. 67PPSECh. 10.1 - Prob. 68PPSECh. 10.1 - Prob. 69PPSECh. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.2 - Prob. 1LCCh. 10.2 - Prob. 2LCCh. 10.2 - Prob. 3LCCh. 10.2 - Prob. 4LCCh. 10.2 - Prob. 5LCCh. 10.2 - Prob. 6LCCh. 10.2 - Prob. 7PPSECh. 10.2 - Prob. 8PPSECh. 10.2 - Prob. 9PPSECh. 10.2 - Prob. 10PPSECh. 10.2 - Prob. 11PPSECh. 10.2 - Prob. 12PPSECh. 10.2 - Prob. 13PPSECh. 10.2 - Prob. 14PPSECh. 10.2 - Prob. 15PPSECh. 10.2 - Prob. 16PPSECh. 10.2 - Prob. 17PPSECh. 10.2 - Prob. 18PPSECh. 10.2 - Prob. 19PPSECh. 10.2 - Prob. 20PPSECh. 10.2 - Prob. 21PPSECh. 10.2 - Prob. 22PPSECh. 10.2 - Prob. 23PPSECh. 10.2 - Prob. 24PPSECh. 10.2 - Prob. 25PPSECh. 10.2 - Prob. 26PPSECh. 10.2 - Prob. 27PPSECh. 10.2 - Prob. 28PPSECh. 10.2 - Prob. 29PPSECh. 10.2 - Prob. 30PPSECh. 10.2 - Prob. 31PPSECh. 10.2 - Prob. 32PPSECh. 10.2 - Prob. 33PPSECh. 10.2 - Prob. 34PPSECh. 10.2 - Prob. 35PPSECh. 10.2 - Prob. 36PPSECh. 10.2 - Prob. 37PPSECh. 10.2 - Prob. 38PPSECh. 10.2 - Prob. 39PPSECh. 10.2 - Prob. 40PPSECh. 10.2 - Prob. 41PPSECh. 10.2 - Prob. 42PPSECh. 10.2 - Prob. 43PPSECh. 10.2 - Prob. 44PPSECh. 10.2 - Prob. 45PPSECh. 10.2 - Prob. 46PPSECh. 10.2 - Prob. 47PPSECh. 10.2 - Prob. 48PPSECh. 10.2 - Prob. 49PPSECh. 10.2 - Prob. 50PPSECh. 10.2 - Prob. 51PPSECh. 10.2 - Prob. 52PPSECh. 10.2 - Prob. 53PPSECh. 10.2 - Prob. 54PPSECh. 10.2 - Prob. 55PPSECh. 10.2 - Prob. 56PPSECh. 10.2 - Prob. 57PPSECh. 10.2 - Prob. 58PPSECh. 10.2 - Prob. 59PPSECh. 10.2 - Prob. 60PPSECh. 10.2 - Prob. 61PPSECh. 10.2 - Prob. 62PPSECh. 10.2 - Prob. 63PPSECh. 10.2 - Prob. 64PPSECh. 10.2 - Prob. 65PPSECh. 10.2 - Prob. 66PPSECh. 10.2 - Prob. 67PPSECh. 10.2 - Prob. 68PPSECh. 10.2 - Prob. 69PPSECh. 10.3 - Prob. 1LCCh. 10.3 - Prob. 2LCCh. 10.3 - Prob. 3LCCh. 10.3 - Prob. 4LCCh. 10.3 - Prob. 5LCCh. 10.3 - Prob. 6LCCh. 10.3 - Prob. 7PPSECh. 10.3 - Prob. 8PPSECh. 10.3 - Prob. 9PPSECh. 10.3 - Prob. 10PPSECh. 10.3 - Prob. 11PPSECh. 10.3 - Prob. 12PPSECh. 10.3 - Prob. 13PPSECh. 10.3 - Prob. 14PPSECh. 10.3 - Prob. 15PPSECh. 10.3 - Prob. 16PPSECh. 10.3 - Prob. 17PPSECh. 10.3 - Prob. 18PPSECh. 10.3 - Prob. 19PPSECh. 10.3 - Prob. 20PPSECh. 10.3 - Prob. 21PPSECh. 10.3 - Prob. 22PPSECh. 10.3 - Prob. 23PPSECh. 10.3 - Prob. 24PPSECh. 10.3 - Prob. 25PPSECh. 10.3 - Prob. 26PPSECh. 10.3 - Prob. 27PPSECh. 10.3 - Prob. 28PPSECh. 10.3 - Prob. 29PPSECh. 10.3 - Prob. 30PPSECh. 10.3 - Prob. 31PPSECh. 10.3 - Prob. 32PPSECh. 10.3 - Prob. 33PPSECh. 10.3 - Prob. 34PPSECh. 10.3 - Prob. 35PPSECh. 10.3 - Prob. 36PPSECh. 10.3 - Prob. 37PPSECh. 10.3 - Prob. 38PPSECh. 10.3 - Prob. 39PPSECh. 10.3 - Prob. 40PPSECh. 10.3 - Prob. 41PPSECh. 10.3 - Prob. 42PPSECh. 10.3 - Prob. 43PPSECh. 10.3 - Prob. 44PPSECh. 10.3 - Prob. 45PPSECh. 10.3 - Prob. 46PPSECh. 10.3 - Prob. 47PPSECh. 10.3 - Prob. 48PPSECh. 10.3 - Prob. 49PPSECh. 10.3 - Prob. 50PPSECh. 10.3 - Prob. 51PPSECh. 10.3 - Prob. 52PPSECh. 10.3 - Prob. 53PPSECh. 10.3 - Prob. 54PPSECh. 10.3 - Prob. 55PPSECh. 10.3 - Prob. 56PPSECh. 10.3 - Prob. 57PPSECh. 10.3 - Prob. 58PPSECh. 10.3 - Prob. 59PPSECh. 10.3 - Prob. 60PPSECh. 10.3 - Prob. 61PPSECh. 10.3 - Prob. 62PPSECh. 10.3 - Prob. 63PPSECh. 10.3 - Prob. 64PPSECh. 10.3 - Prob. 65PPSECh. 10.3 - Prob. 66PPSECh. 10.4 - Prob. 1LCCh. 10.4 - Prob. 2LCCh. 10.4 - Prob. 3LCCh. 10.4 - Prob. 4LCCh. 10.4 - Prob. 5LCCh. 10.4 - Prob. 6LCCh. 10.4 - Prob. 7PPSECh. 10.4 - Prob. 8PPSECh. 10.4 - Prob. 9PPSECh. 10.4 - Prob. 10PPSECh. 10.4 - Prob. 11PPSECh. 10.4 - Prob. 12PPSECh. 10.4 - Prob. 13PPSECh. 10.4 - Prob. 14PPSECh. 10.4 - Prob. 15PPSECh. 10.4 - Prob. 16PPSECh. 10.4 - Prob. 17PPSECh. 10.4 - Prob. 18PPSECh. 10.4 - Prob. 19PPSECh. 10.4 - Prob. 20PPSECh. 10.4 - Prob. 21PPSECh. 10.4 - Prob. 22PPSECh. 10.4 - Prob. 23PPSECh. 10.4 - Prob. 24PPSECh. 10.4 - Prob. 25PPSECh. 10.4 - Prob. 26PPSECh. 10.4 - Prob. 27PPSECh. 10.4 - Prob. 28PPSECh. 10.4 - Prob. 29PPSECh. 10.4 - Prob. 30PPSECh. 10.4 - Prob. 31PPSECh. 10.4 - Prob. 32PPSECh. 10.4 - Prob. 33PPSECh. 10.4 - Prob. 34PPSECh. 10.4 - Prob. 36PPSECh. 10.4 - Prob. 37PPSECh. 10.4 - Prob. 38PPSECh. 10.4 - Prob. 39PPSECh. 10.4 - Prob. 40PPSECh. 10.4 - Prob. 41PPSECh. 10.4 - Prob. 44PPSECh. 10.4 - Prob. 45PPSECh. 10.4 - Prob. 46PPSECh. 10.4 - Prob. 48PPSECh. 10.4 - Prob. 49PPSECh. 10.4 - Prob. 50PPSECh. 10.4 - Prob. 51PPSECh. 10.4 - Prob. 52PPSECh. 10.4 - Prob. 53PPSECh. 10.4 - Prob. 54PPSECh. 10.4 - Prob. 55PPSECh. 10.4 - Prob. 56PPSECh. 10.4 - Prob. 57PPSECh. 10.4 - Prob. 58PPSECh. 10.4 - Prob. 59PPSECh. 10.5 - Prob. 1LCCh. 10.5 - Prob. 2LCCh. 10.5 - Prob. 3LCCh. 10.5 - Prob. 4LCCh. 10.5 - Prob. 5LCCh. 10.5 - Prob. 6LCCh. 10.5 - Prob. 7LCCh. 10.5 - Prob. 8PPSECh. 10.5 - Prob. 9PPSECh. 10.5 - Prob. 10PPSECh. 10.5 - Prob. 11PPSECh. 10.5 - Prob. 12PPSECh. 10.5 - Prob. 13PPSECh. 10.5 - Prob. 14PPSECh. 10.5 - Prob. 15PPSECh. 10.5 - Prob. 16PPSECh. 10.5 - Prob. 17PPSECh. 10.5 - Prob. 18PPSECh. 10.5 - Prob. 19PPSECh. 10.5 - Prob. 20PPSECh. 10.5 - Prob. 21PPSECh. 10.5 - Prob. 22PPSECh. 10.5 - Prob. 23PPSECh. 10.5 - Prob. 24PPSECh. 10.5 - Prob. 25PPSECh. 10.5 - Prob. 26PPSECh. 10.5 - Prob. 27PPSECh. 10.5 - Prob. 28PPSECh. 10.5 - Prob. 29PPSECh. 10.5 - Prob. 30PPSECh. 10.5 - Prob. 31PPSECh. 10.5 - Prob. 32PPSECh. 10.5 - Prob. 33PPSECh. 10.5 - Prob. 34PPSECh. 10.5 - Prob. 35PPSECh. 10.5 - Prob. 36PPSECh. 10.5 - Prob. 37PPSECh. 10.5 - Prob. 38PPSECh. 10.5 - Prob. 39PPSECh. 10.5 - Prob. 40PPSECh. 10.5 - Prob. 41PPSECh. 10.5 - Prob. 42PPSECh. 10.6 - Prob. 1LCCh. 10.6 - Prob. 2LCCh. 10.6 - Prob. 3LCCh. 10.6 - Prob. 4LCCh. 10.6 - Prob. 5LCCh. 10.6 - Prob. 6LCCh. 10.6 - Prob. 7LCCh. 10.6 - Prob. 8PPSECh. 10.6 - Prob. 9PPSECh. 10.6 - Prob. 10PPSECh. 10.6 - Prob. 11PPSECh. 10.6 - Prob. 12PPSECh. 10.6 - Prob. 13PPSECh. 10.6 - Prob. 14PPSECh. 10.6 - Prob. 15PPSECh. 10.6 - Prob. 16PPSECh. 10.6 - Prob. 17PPSECh. 10.6 - Prob. 18PPSECh. 10.6 - Prob. 19PPSECh. 10.6 - Prob. 20PPSECh. 10.6 - Prob. 21PPSECh. 10.6 - Prob. 22PPSECh. 10.6 - Prob. 23PPSECh. 10.6 - Prob. 24PPSECh. 10.6 - Prob. 25PPSECh. 10.6 - Prob. 26PPSECh. 10.6 - Prob. 27PPSECh. 10.6 - Prob. 28PPSECh. 10.6 - Prob. 29PPSECh. 10.6 - Prob. 30PPSECh. 10.6 - Prob. 31PPSECh. 10.6 - Prob. 32PPSECh. 10.6 - Prob. 33PPSECh. 10.6 - Prob. 34PPSECh. 10.6 - Prob. 35PPSECh. 10.6 - Prob. 36PPSECh. 10.6 - Prob. 37PPSECh. 10.6 - Prob. 38PPSECh. 10.6 - Prob. 39PPSECh. 10.6 - Prob. 40PPSECh. 10.6 - Prob. 41PPSECh. 10.6 - Prob. 42PPSECh. 10.6 - Prob. 43PPSECh. 10.6 - Prob. 44PPSECh. 10.6 - Prob. 45PPSECh. 10.6 - Prob. 46PPSECh. 10.6 - Prob. 47PPSECh. 10.6 - Prob. 48PPSECh. 10.6 - Prob. 49PPSECh. 10.6 - Prob. 50PPSECh. 10.6 - Prob. 51PPSECh. 10.6 - Prob. 52PPSECh. 10.6 - Prob. 53PPSECh. 10.6 - Prob. 1ECh. 10.6 - Prob. 2ECh. 10.6 - Prob. 3ECh. 10.6 - Prob. 4ECh. 10.6 - Prob. 5ECh. 10.6 - Prob. 6ECh. 10.6 - Prob. 7ECh. 10.6 - Prob. 8ECh. 10 - Prob. 1GRCh. 10 - Prob. 2GRCh. 10 - Prob. 3GRCh. 10 - Prob. 4GRCh. 10 - Prob. 5GRCh. 10 - Prob. 6GRCh. 10 - Prob. 7GRCh. 10 - Prob. 8GRCh. 10 - Prob. 9GRCh. 10 - Prob. 10GRCh. 10 - Prob. 11GRCh. 10 - Prob. 12GRCh. 10 - Prob. 13GRCh. 10 - Prob. 14GRCh. 10 - Prob. 15GRCh. 10 - Prob. 16GRCh. 10 - Prob. 17GRCh. 10 - Prob. 18GRCh. 10 - Prob. 19GRCh. 10 - Prob. 20GRCh. 10 - Prob. 21GRCh. 10 - Prob. 22GRCh. 10 - Prob. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 5MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 12MCQCh. 10 - Prob. 13MCQCh. 10 - Prob. 14MCQCh. 10 - Prob. 15MCQCh. 10 - Prob. 16MCQCh. 10 - Prob. 17MCQCh. 10 - Prob. 18MCQCh. 10 - Prob. 19MCQCh. 10 - Prob. 20MCQCh. 10 - Prob. 21MCQCh. 10 - Prob. 22MCQCh. 10 - Prob. 23MCQCh. 10 - Prob. 24MCQCh. 10 - Prob. 25MCQCh. 10 - Prob. 26MCQCh. 10 - Prob. 27MCQCh. 10 - Prob. 1CVCh. 10 - Prob. 2CVCh. 10 - Prob. 3CVCh. 10 - Prob. 4CVCh. 10 - Prob. 5CVCh. 10 - Prob. 6ECh. 10 - Prob. 7ECh. 10 - Prob. 8ECh. 10 - Prob. 9ECh. 10 - Prob. 10ECh. 10 - Prob. 11ECh. 10 - Prob. 12ECh. 10 - Prob. 13ECh. 10 - Prob. 14ECh. 10 - Prob. 15ECh. 10 - Prob. 16ECh. 10 - Prob. 17ECh. 10 - Prob. 18ECh. 10 - Prob. 19ECh. 10 - Prob. 20ECh. 10 - Prob. 21ECh. 10 - Prob. 22ECh. 10 - Prob. 23ECh. 10 - Prob. 24ECh. 10 - Prob. 25ECh. 10 - Prob. 26ECh. 10 - Prob. 27ECh. 10 - Prob. 28ECh. 10 - Prob. 29ECh. 10 - Prob. 30ECh. 10 - Prob. 31ECh. 10 - Prob. 32ECh. 10 - Prob. 33ECh. 10 - Prob. 34ECh. 10 - Prob. 35ECh. 10 - Prob. 36ECh. 10 - Prob. 37ECh. 10 - Prob. 38ECh. 10 - Prob. 39ECh. 10 - Prob. 40ECh. 10 - Prob. 41ECh. 10 - Prob. 42ECh. 10 - Prob. 43ECh. 10 - Prob. 44ECh. 10 - Prob. 45ECh. 10 - Prob. 1CTCh. 10 - Prob. 2CTCh. 10 - Prob. 3CTCh. 10 - Prob. 4CTCh. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - Prob. 8CTCh. 10 - Prob. 9CTCh. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 12CTCh. 10 - Prob. 13CTCh. 10 - Prob. 14CTCh. 10 - Prob. 15CTCh. 10 - Prob. 16CTCh. 10 - Prob. 17CTCh. 10 - Prob. 18CTCh. 10 - Prob. 19CTCh. 10 - Prob. 20CTCh. 10 - Prob. 21CTCh. 10 - Prob. 22CTCh. 10 - Prob. 23CTCh. 10 - Prob. 24CTCh. 10 - Prob. 25CTCh. 10 - Prob. 26CTCh. 10 - Prob. 27CTCh. 10 - Prob. 28CTCh. 10 - Prob. 29CTCh. 10 - Prob. 30CTCh. 10 - Prob. 31CTCh. 10 - Prob. 32CTCh. 10 - Prob. 1CCSRCh. 10 - Prob. 2CCSRCh. 10 - Prob. 3CCSRCh. 10 - Prob. 4CCSRCh. 10 - Prob. 5CCSRCh. 10 - Prob. 6CCSRCh. 10 - Prob. 7CCSRCh. 10 - Prob. 8CCSRCh. 10 - Prob. 9CCSRCh. 10 - Prob. 10CCSRCh. 10 - Prob. 11CCSRCh. 10 - Prob. 12CCSRCh. 10 - Prob. 13CCSRCh. 10 - Prob. 14CCSRCh. 10 - Prob. 15CCSRCh. 10 - Prob. 16CCSRCh. 10 - Prob. 17CCSRCh. 10 - Prob. 18CCSRCh. 10 - Prob. 19CCSRCh. 10 - Prob. 20CCSRCh. 10 - Prob. 21CCSRCh. 10 - Prob. 22CCSRCh. 10 - Prob. 23CCSRCh. 10 - Prob. 24CCSRCh. 10 - Prob. 25CCSRCh. 10 - Prob. 26CCSR
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