Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Vertices Of An Ellipse
In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…
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Chapter 10.4, Problem 38PPS
To determine

To find: The distance between the foci.

Expert Solution & Answer
Check Mark

Answer to Problem 38PPS

The distance between the fociis 381.58 ft .

Explanation of Solution

Given information:

The long axis is 400 ft and the short axis is 120 ft wide.

Concept used:

Write the standard form of the equation of the ellipse whose orientation is along the horizontal axis is,

  (x−h)2a2+(y−k)2b2=1

The coordinate of the foci is (h±c,k)

The value of c is calculated as,

  c=a2−b2

The vertices are at (h±a,k) and the co-vertices are at (h,k±b) .

Write the standard form of the equation of the ellipse whose orientation is along the vertical axis is,

  (y−k)2a2+(x−h)2b2=1

The coordinate of the foci is (h,k±c)

The vertices are at (h,k±a) and the co-vertices are at (h±b,k) .

The value of c is calculated as,

  c=a2−b2

The value of a is calculated as,

  2a=400a=200

The value of b is calculated as,

  2b=120b=60

The value of c is calculated as,

  c=a2−b2=(200)2−(60)2=190.79

The distance between the foci is calculated as,

  2c=2(190.79)=381.58 ft

Thus, the distance between the foci is 381.58 ft .

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Chapter 10.4, Problem 37PPS
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Chapter 10.4, Problem 39PPS

Chapter 10 Solutions

Algebra 2

Ch. 10.1 - Prob. 1ACYPCh. 10.1 - Prob. 1BCYPCh. 10.1 - Prob. 2CYPCh. 10.1 - Prob. 3CYPCh. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYUCh. 10.1 - Prob. 6CYU
Ch. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42HPCh. 10.1 - Prob. 43HPCh. 10.1 - Prob. 44HPCh. 10.1 - Prob. 45HPCh. 10.1 - Prob. 46HPCh. 10.1 - Prob. 47STPCh. 10.1 - Prob. 48STPCh. 10.1 - Prob. 49STPCh. 10.1 - Prob. 50STPCh. 10.1 - Prob. 51SRCh. 10.1 - Prob. 52SRCh. 10.1 - Prob. 53SRCh. 10.1 - Prob. 54SRCh. 10.1 - Prob. 55SRCh. 10.1 - Prob. 56SRCh. 10.1 - Prob. 57SRCh. 10.1 - Prob. 58SRCh. 10.1 - Prob. 59SRCh. 10.1 - Prob. 60SRCh. 10.1 - Prob. 61SRCh. 10.1 - Prob. 62SRCh. 10.1 - Prob. 63SRCh. 10.1 - Prob. 64SCh. 10.1 - Prob. 65SCh. 10.1 - Prob. 66SCh. 10.2 - Prob. 1CYPCh. 10.2 - Prob. 2ACYPCh. 10.2 - Prob. 2BCYPCh. 10.2 - Prob. 3ACYPCh. 10.2 - Prob. 3BCYPCh. 10.2 - Prob. 4ACYPCh. 10.2 - Prob. 4BCYPCh. 10.2 - Prob. 5CYPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - Prob. 5CYUCh. 10.2 - Prob. 6CYUCh. 10.2 - Prob. 7CYUCh. 10.2 - Prob. 8CYUCh. 10.2 - Prob. 9CYUCh. 10.2 - Prob. 10CYUCh. 10.2 - Prob. 11CYUCh. 10.2 - Prob. 12CYUCh. 10.2 - Prob. 13CYUCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16PPSCh. 10.2 - Prob. 17PPSCh. 10.2 - Prob. 18PPSCh. 10.2 - Prob. 19PPSCh. 10.2 - Prob. 20PPSCh. 10.2 - Prob. 21PPSCh. 10.2 - Prob. 22PPSCh. 10.2 - Prob. 23PPSCh. 10.2 - Prob. 24PPSCh. 10.2 - Prob. 25PPSCh. 10.2 - 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Prob. 6CYUCh. 10.3 - Prob. 7CYUCh. 10.3 - Prob. 8CYUCh. 10.3 - Prob. 9CYUCh. 10.3 - Prob. 10CYUCh. 10.3 - Prob. 11CYUCh. 10.3 - Prob. 12PPSCh. 10.3 - Prob. 13PPSCh. 10.3 - Prob. 14PPSCh. 10.3 - Prob. 15PPSCh. 10.3 - Prob. 16PPSCh. 10.3 - Prob. 17PPSCh. 10.3 - Prob. 18PPSCh. 10.3 - Prob. 19PPSCh. 10.3 - Prob. 20PPSCh. 10.3 - Prob. 21PPSCh. 10.3 - Prob. 22PPSCh. 10.3 - Prob. 23PPSCh. 10.3 - Prob. 24PPSCh. 10.3 - Prob. 25PPSCh. 10.3 - Prob. 26PPSCh. 10.3 - Prob. 27PPSCh. 10.3 - Prob. 28PPSCh. 10.3 - Prob. 29PPSCh. 10.3 - Prob. 30PPSCh. 10.3 - Prob. 31PPSCh. 10.3 - Prob. 32PPSCh. 10.3 - Prob. 33PPSCh. 10.3 - Prob. 34PPSCh. 10.3 - Prob. 35PPSCh. 10.3 - Prob. 36PPSCh. 10.3 - Prob. 37PPSCh. 10.3 - Prob. 38PPSCh. 10.3 - Prob. 39PPSCh. 10.3 - Prob. 40PPSCh. 10.3 - Prob. 41PPSCh. 10.3 - Prob. 42PPSCh. 10.3 - Prob. 43PPSCh. 10.3 - Prob. 44PPSCh. 10.3 - Prob. 45PPSCh. 10.3 - Prob. 46PPSCh. 10.3 - Prob. 47PPSCh. 10.3 - Prob. 48PPSCh. 10.3 - Prob. 49PPSCh. 10.3 - Prob. 50PPSCh. 10.3 - Prob. 51PPSCh. 10.3 - 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Prob. 8CYUCh. 10.4 - Prob. 9CYUCh. 10.4 - Prob. 10CYUCh. 10.4 - Prob. 11PPSCh. 10.4 - Prob. 12PPSCh. 10.4 - Prob. 13PPSCh. 10.4 - Prob. 14PPSCh. 10.4 - Prob. 15PPSCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 10.4 - Prob. 18PPSCh. 10.4 - Prob. 19PPSCh. 10.4 - Prob. 20PPSCh. 10.4 - Prob. 21PPSCh. 10.4 - Prob. 22PPSCh. 10.4 - Prob. 23PPSCh. 10.4 - Prob. 24PPSCh. 10.4 - Prob. 25PPSCh. 10.4 - Prob. 26PPSCh. 10.4 - Prob. 27PPSCh. 10.4 - Prob. 28PPSCh. 10.4 - Prob. 29PPSCh. 10.4 - Prob. 30PPSCh. 10.4 - Prob. 31PPSCh. 10.4 - Prob. 32PPSCh. 10.4 - Prob. 33PPSCh. 10.4 - Prob. 34PPSCh. 10.4 - Prob. 35PPSCh. 10.4 - Prob. 36PPSCh. 10.4 - Prob. 37PPSCh. 10.4 - Prob. 38PPSCh. 10.4 - Prob. 39PPSCh. 10.4 - Prob. 40HPCh. 10.4 - Prob. 41HPCh. 10.4 - Prob. 42HPCh. 10.4 - Prob. 43HPCh. 10.4 - Prob. 44HPCh. 10.4 - Prob. 45HPCh. 10.4 - Prob. 46HPCh. 10.4 - Prob. 47STPCh. 10.4 - Prob. 48STPCh. 10.4 - Prob. 49STPCh. 10.4 - Prob. 50STPCh. 10.4 - Prob. 51SRCh. 10.4 - Prob. 52SRCh. 10.4 - Prob. 53SRCh. 10.4 - Prob. 54SRCh. 10.4 - Prob. 55SRCh. 10.4 - Prob. 56SRCh. 10.4 - Prob. 57SRCh. 10.4 - Prob. 58SRCh. 10.4 - Prob. 59SRCh. 10.4 - Prob. 60SRCh. 10.4 - Prob. 61SRCh. 10.4 - Prob. 62SRCh. 10.4 - Prob. 63SRCh. 10.4 - Prob. 64SRCh. 10.4 - Prob. 65SCh. 10.4 - Prob. 66SCh. 10.4 - Prob. 67SCh. 10.4 - Prob. 1MCQCh. 10.4 - Prob. 2MCQCh. 10.4 - Prob. 3MCQCh. 10.4 - Prob. 4MCQCh. 10.4 - Prob. 5MCQCh. 10.4 - Prob. 6MCQCh. 10.4 - Prob. 7MCQCh. 10.4 - Prob. 8MCQCh. 10.4 - Prob. 9MCQCh. 10.4 - Prob. 10MCQCh. 10.4 - Prob. 11MCQCh. 10.4 - Prob. 12MCQCh. 10.4 - Prob. 13MCQCh. 10.4 - Prob. 14MCQCh. 10.4 - Prob. 15MCQCh. 10.4 - Prob. 16MCQCh. 10.4 - Prob. 17MCQCh. 10.4 - Prob. 18MCQCh. 10.4 - Prob. 19MCQCh. 10.4 - Prob. 20MCQCh. 10.5 - Prob. 1CYPCh. 10.5 - Prob. 2CYPCh. 10.5 - Prob. 3CYPCh. 10.5 - Prob. 4CYPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7CYUCh. 10.5 - Prob. 8CYUCh. 10.5 - Prob. 9CYUCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22PPSCh. 10.5 - Prob. 23PPSCh. 10.5 - Prob. 24PPSCh. 10.5 - Prob. 25PPSCh. 10.5 - Prob. 26PPSCh. 10.5 - Prob. 27PPSCh. 10.5 - Prob. 28PPSCh. 10.5 - Prob. 29PPSCh. 10.5 - Prob. 30PPSCh. 10.5 - Prob. 31PPSCh. 10.5 - Prob. 32PPSCh. 10.5 - Prob. 33PPSCh. 10.5 - Prob. 34PPSCh. 10.5 - Prob. 35PPSCh. 10.5 - Prob. 36PPSCh. 10.5 - Prob. 37PPSCh. 10.5 - Prob. 38PPSCh. 10.5 - Prob. 39PPSCh. 10.5 - Prob. 40PPSCh. 10.5 - Prob. 41PPSCh. 10.5 - Prob. 42PPSCh. 10.5 - Prob. 43PPSCh. 10.5 - Prob. 44HPCh. 10.5 - Prob. 45HPCh. 10.5 - Prob. 46HPCh. 10.5 - Prob. 47HPCh. 10.5 - Prob. 48HPCh. 10.5 - Prob. 49HPCh. 10.5 - Prob. 50STPCh. 10.5 - Prob. 51STPCh. 10.5 - Prob. 52STPCh. 10.5 - Prob. 53STPCh. 10.5 - Prob. 54SRCh. 10.5 - Prob. 55SRCh. 10.5 - Prob. 56SRCh. 10.5 - Prob. 57SRCh. 10.5 - Prob. 58SRCh. 10.5 - Prob. 59SRCh. 10.5 - Prob. 60SRCh. 10.5 - Prob. 61SRCh. 10.5 - Prob. 62SRCh. 10.5 - Prob. 63SRCh. 10.5 - Prob. 64SRCh. 10.5 - Prob. 65SRCh. 10.5 - Prob. 66SCh. 10.5 - Prob. 67SCh. 10.6 - Prob. 1CYPCh. 10.6 - Prob. 2ACYPCh. 10.6 - Prob. 2BCYPCh. 10.6 - Prob. 2CCYPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8CYUCh. 10.6 - Prob. 9CYUCh. 10.6 - Prob. 10CYUCh. 10.6 - Prob. 11CYUCh. 10.6 - Prob. 12CYUCh. 10.6 - Prob. 13CYUCh. 10.6 - Prob. 14PPSCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23PPSCh. 10.6 - Prob. 24PPSCh. 10.6 - Prob. 25PPSCh. 10.6 - Prob. 26PPSCh. 10.6 - Prob. 27PPSCh. 10.6 - Prob. 28PPSCh. 10.6 - Prob. 29PPSCh. 10.6 - Prob. 30PPSCh. 10.6 - Prob. 31PPSCh. 10.6 - Prob. 32PPSCh. 10.6 - Prob. 33PPSCh. 10.6 - Prob. 34PPSCh. 10.6 - Prob. 35PPSCh. 10.6 - Prob. 36PPSCh. 10.6 - Prob. 37PPSCh. 10.6 - Prob. 38PPSCh. 10.6 - Prob. 39PPSCh. 10.6 - Prob. 40PPSCh. 10.6 - Prob. 41PPSCh. 10.6 - Prob. 42PPSCh. 10.6 - Prob. 43PPSCh. 10.6 - Prob. 44HPCh. 10.6 - Prob. 45HPCh. 10.6 - Prob. 46HPCh. 10.6 - Prob. 47HPCh. 10.6 - Prob. 48STPCh. 10.6 - Prob. 49STPCh. 10.6 - Prob. 50STPCh. 10.6 - Prob. 51STPCh. 10.6 - Prob. 52SRCh. 10.6 - Prob. 53SRCh. 10.6 - Prob. 54SRCh. 10.6 - Prob. 55SRCh. 10.6 - Prob. 56SRCh. 10.6 - Prob. 57SRCh. 10.6 - Prob. 58SRCh. 10.6 - Prob. 59SRCh. 10.6 - Prob. 60SCh. 10.6 - Prob. 61SCh. 10.6 - Prob. 62SCh. 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. 10.6 - Prob. 9ECh. 10.6 - Prob. 10ECh. 10.7 - Prob. 1ACYPCh. 10.7 - Prob. 1BCYPCh. 10.7 - Prob. 2ACYPCh. 10.7 - Prob. 2BCYPCh. 10.7 - Prob. 3ACYPCh. 10.7 - Prob. 3BCYPCh. 10.7 - Prob. 4ACYPCh. 10.7 - Prob. 4BCYPCh. 10.7 - Prob. 1CYUCh. 10.7 - Prob. 2CYUCh. 10.7 - Prob. 3CYUCh. 10.7 - Prob. 4CYUCh. 10.7 - Prob. 5CYUCh. 10.7 - Prob. 6CYUCh. 10.7 - Prob. 7CYUCh. 10.7 - Prob. 8CYUCh. 10.7 - Prob. 9CYUCh. 10.7 - Prob. 10CYUCh. 10.7 - Prob. 11CYUCh. 10.7 - Prob. 12CYUCh. 10.7 - Prob. 13CYUCh. 10.7 - Prob. 14PPSCh. 10.7 - Prob. 15PPSCh. 10.7 - Prob. 16PPSCh. 10.7 - Prob. 17PPSCh. 10.7 - Prob. 18PPSCh. 10.7 - Prob. 19PPSCh. 10.7 - Prob. 20PPSCh. 10.7 - Prob. 21PPSCh. 10.7 - Prob. 22PPSCh. 10.7 - Prob. 23PPSCh. 10.7 - Prob. 24PPSCh. 10.7 - Prob. 25PPSCh. 10.7 - Prob. 26PPSCh. 10.7 - Prob. 27PPSCh. 10.7 - Prob. 28PPSCh. 10.7 - Prob. 29PPSCh. 10.7 - Prob. 30PPSCh. 10.7 - Prob. 31PPSCh. 10.7 - Prob. 32PPSCh. 10.7 - Prob. 33PPSCh. 10.7 - Prob. 34PPSCh. 10.7 - Prob. 35PPSCh. 10.7 - Prob. 36PPSCh. 10.7 - Prob. 37PPSCh. 10.7 - Prob. 38PPSCh. 10.7 - Prob. 39PPSCh. 10.7 - Prob. 40PPSCh. 10.7 - Prob. 41PPSCh. 10.7 - Prob. 42PPSCh. 10.7 - Prob. 43PPSCh. 10.7 - Prob. 44PPSCh. 10.7 - Prob. 45PPSCh. 10.7 - Prob. 46PPSCh. 10.7 - Prob. 47PPSCh. 10.7 - Prob. 48PPSCh. 10.7 - Prob. 49PPSCh. 10.7 - Prob. 50PPSCh. 10.7 - Prob. 51HPCh. 10.7 - Prob. 52HPCh. 10.7 - Prob. 53HPCh. 10.7 - Prob. 54HPCh. 10.7 - Prob. 55STPCh. 10.7 - Prob. 56STPCh. 10.7 - Prob. 57STPCh. 10.7 - Prob. 58STPCh. 10.7 - Prob. 59SRCh. 10.7 - Prob. 60SRCh. 10.7 - Prob. 61SRCh. 10.7 - Prob. 62SRCh. 10.7 - Prob. 63SRCh. 10.7 - Prob. 64SRCh. 10.7 - Prob. 65SRCh. 10.7 - Prob. 66SRCh. 10.7 - Prob. 67SRCh. 10.7 - Prob. 68SRCh. 10.7 - Prob. 69SRCh. 10.7 - Prob. 70SRCh. 10.7 - Prob. 71SCh. 10.7 - Prob. 72SCh. 10.7 - Prob. 73SCh. 10.7 - Prob. 74SCh. 10 - Prob. 1QCCh. 10 - Prob. 2QCCh. 10 - Prob. 3QCCh. 10 - Prob. 4QCCh. 10 - Prob. 5QCCh. 10 - Prob. 6QCCh. 10 - Prob. 7QCCh. 10 - Prob. 8QCCh. 10 - Prob. 9QCCh. 10 - Prob. 10QCCh. 10 - Prob. 11QCCh. 10 - Prob. 12QCCh. 10 - Prob. 13QCCh. 10 - Prob. 1SGRCh. 10 - Prob. 2SGRCh. 10 - Prob. 3SGRCh. 10 - Prob. 4SGRCh. 10 - Prob. 5SGRCh. 10 - Prob. 6SGRCh. 10 - Prob. 7SGRCh. 10 - Prob. 8SGRCh. 10 - Prob. 9SGRCh. 10 - Prob. 10SGRCh. 10 - Prob. 11SGRCh. 10 - Prob. 12SGRCh. 10 - Prob. 13SGRCh. 10 - Prob. 14SGRCh. 10 - Prob. 15SGRCh. 10 - Prob. 16SGRCh. 10 - Prob. 17SGRCh. 10 - Prob. 18SGRCh. 10 - Prob. 19SGRCh. 10 - Prob. 20SGRCh. 10 - Prob. 21SGRCh. 10 - Prob. 22SGRCh. 10 - Prob. 23SGRCh. 10 - Prob. 24SGRCh. 10 - Prob. 25SGRCh. 10 - Prob. 26SGRCh. 10 - Prob. 27SGRCh. 10 - Prob. 28SGRCh. 10 - Prob. 29SGRCh. 10 - Prob. 30SGRCh. 10 - Prob. 31SGRCh. 10 - Prob. 32SGRCh. 10 - Prob. 33SGRCh. 10 - Prob. 34SGRCh. 10 - Prob. 35SGRCh. 10 - Prob. 36SGRCh. 10 - Prob. 37SGRCh. 10 - Prob. 38SGRCh. 10 - Prob. 39SGRCh. 10 - Prob. 40SGRCh. 10 - Prob. 41SGRCh. 10 - Prob. 42SGRCh. 10 - Prob. 43SGRCh. 10 - Prob. 44SGRCh. 10 - Prob. 45SGRCh. 10 - Prob. 46SGRCh. 10 - Prob. 47SGRCh. 10 - Prob. 48SGRCh. 10 - Prob. 49SGRCh. 10 - Prob. 50SGRCh. 10 - Prob. 51SGRCh. 10 - Prob. 52SGRCh. 10 - Prob. 53SGRCh. 10 - Prob. 54SGRCh. 10 - Prob. 55SGRCh. 10 - Prob. 56SGRCh. 10 - Prob. 57SGRCh. 10 - Prob. 58SGRCh. 10 - Prob. 59SGRCh. 10 - Prob. 60SGRCh. 10 - 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Prob. 10STPCh. 10 - Prob. 11STPCh. 10 - Prob. 12STPCh. 10 - Prob. 13STPCh. 10 - Prob. 14STPCh. 10 - Prob. 15STP

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