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 8PPSE
Solution

To find:The graph of the equation 2x2+y2=36 , 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 8PPSE , additional homework tip 1

The conic section is an ellipse. The ellipse is a vertical ellipse and it is centered at origin. It has two lines of symmetries which are x -axis and y -axis. The domain is the set of all x values so that −4.2≤x≤4.2 and range is the set of all real numbers y with −6≤y≤6 .

Given information:The equation 2x2+y2=36 is given.

Explanation:

Find the value of y for x=−5:

  2(−5)2+y2=36y2=36−50y2=−14

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−5−4−3−2−1012345
    y-±2±4.24±5.29±5.83±6±1.96±5.83±4.24±2-

Plot the points:

  High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11, Chapter 10.1, Problem 8PPSE , 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 8PPSE , additional homework tip 3

The conic section is an ellipse.

  High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11, Chapter 10.1, Problem 8PPSE , additional homework tip 4

The ellipse is a horizontal ellipse, it is centered at origin. It has two lines of symmetries which are x -axis and y -axis.

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 −4.2≤x≤4.2 and range is the set of all real numbers y with −6≤y≤6 .

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 8PPSE , additional homework tip 5

The conic section is an ellipse. The ellipse is a vertical ellipse and it is centered at origin. It has two lines of symmetries which are x -axis and y -axis. The domain is the set of all x values so that −4.2≤x≤4.2 and range is the set of all real numbers y with −6≤y≤6 .

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Chapter 10.1, Problem 7PPSE
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Chapter 10.1, Problem 9PPSE

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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