Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Differential Equations
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Question
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Chapter 3.4, Problem 2AGP
To determine

To solve the following system of linear equations

  {−4x−2y−z=1512x+6y+3z=452x+5y+7z=−29

Expert Solution & Answer
Check Mark

Answer to Problem 2AGP

No Solution

Explanation of Solution

Given:

  {−4x−2y−z=1512x+6y+3z=452x+5y+7z=−29

Concept used:

System of linear equations can be solved using inverse matrix method.

To find inverse of a square matrix A, following steps should be followed.

  1. Augment given matrix with the identity matrix
  2. Perform row operations to make the identity matrix to the left and the right matrix becomes inverse matrix.

In this way, inverse matrix of a matrix can be obtained.

Formula used:

  AX=B⇔X=A−1B

Calculation:

Consider given system of equations,

  {−4x−2y−z=1512x+6y+3z=452x+5y+7z=−29

Writing above system of linear equations in matrix form (AX=B) ,

  [−4−2−11263257][xyz]=[154529]

Here,

  A=[−4−2−11263257]X=[xyz]B=[154529]

Now, find the inverse matrix of matrix A.

Step 1: Augmenting matrix A with the identity matrix

  [−4−2−11263257100010001]

Step 2: Performing row operations to make the identity matrix to the left.

  [−4−2−11263257100010001]Performing R2=R+23R1[−4−2−1000257100010001]

Since the second row contains solely zero, the determinant of the matrix is zero.

So, matrix is not invertible ,

Finding the solutions,

Since there is no possible inverse of the given matrix, hence there can be no possible solution of the given system of equations.

Conclusion:

Therefore, the there is no solution to the given system of equations.

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Chapter 3.4, Problem 1BGP
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Chapter 3.4, Problem 2BGP

Chapter 3 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2AGPCh. 3.1 - Prob. 2BGPCh. 3.1 - Prob. 3AGPCh. 3.1 - Prob. 3BGPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 4CGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 6GPCh. 3.1 - Prob. 1CYUCh. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13CYUCh. 3.1 - Prob. 14CYUCh. 3.1 - Prob. 15CYUCh. 3.1 - Prob. 16CYUCh. 3.1 - Prob. 17CYUCh. 3.1 - Prob. 18CYUCh. 3.1 - Prob. 19CYUCh. 3.1 - Prob. 20CYUCh. 3.1 - Prob. 21CYUCh. 3.1 - Prob. 22CYUCh. 3.1 - Prob. 23CYUCh. 3.1 - Prob. 24CYUCh. 3.1 - Prob. 25CYUCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42PPSCh. 3.1 - Prob. 43PPSCh. 3.1 - Prob. 44PPSCh. 3.1 - Prob. 45PPSCh. 3.1 - Prob. 46PPSCh. 3.1 - Prob. 47PPSCh. 3.1 - Prob. 48PPSCh. 3.1 - Prob. 49PPSCh. 3.1 - Prob. 50PPSCh. 3.1 - Prob. 51PPSCh. 3.1 - Prob. 52PPSCh. 3.1 - Prob. 53PPSCh. 3.1 - Prob. 54PPSCh. 3.1 - Prob. 55PPSCh. 3.1 - Prob. 56PPSCh. 3.1 - Prob. 57PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 59PPSCh. 3.1 - Prob. 60PPSCh. 3.1 - Prob. 61PPSCh. 3.1 - Prob. 62PPSCh. 3.1 - Prob. 63PPSCh. 3.1 - Prob. 64PPSCh. 3.1 - Prob. 65PPSCh. 3.1 - Prob. 66PPSCh. 3.1 - Prob. 67PPSCh. 3.1 - Prob. 68PPSCh. 3.1 - Prob. 69PPSCh. 3.1 - Prob. 70PPSCh. 3.1 - Prob. 71PPSCh. 3.1 - Prob. 72PPSCh. 3.1 - Prob. 73PPSCh. 3.1 - Prob. 74PPSCh. 3.1 - Prob. 75PPSCh. 3.1 - Prob. 76HPCh. 3.1 - Prob. 77HPCh. 3.1 - Prob. 78HPCh. 3.1 - Prob. 79HPCh. 3.1 - Prob. 80HPCh. 3.1 - Prob. 81STPCh. 3.1 - Prob. 82STPCh. 3.1 - Prob. 83STPCh. 3.1 - Prob. 84STPCh. 3.1 - Prob. 85SRCh. 3.1 - Prob. 86SRCh. 3.1 - Prob. 87SRCh. 3.1 - Prob. 88SRCh. 3.1 - Prob. 89SRCh. 3.1 - Prob. 90SRCh. 3.1 - Prob. 91SRCh. 3.1 - Prob. 92SRCh. 3.1 - Prob. 93SRCh. 3.1 - Prob. 94SRCh. 3.1 - Prob. 95SCh. 3.1 - Prob. 96SCh. 3.1 - Prob. 97SCh. 3.2 - Prob. 1AGPCh. 3.2 - Prob. 1BGPCh. 3.2 - Prob. 2AGPCh. 3.2 - Prob. 2BGPCh. 3.2 - Prob. 3GPCh. 3.2 - Prob. 4AGPCh. 3.2 - Prob. 4BGPCh. 3.2 - Prob. 1CYUCh. 3.2 - Prob. 2CYUCh. 3.2 - Prob. 3CYUCh. 3.2 - Prob. 4CYUCh. 3.2 - Prob. 5CYUCh. 3.2 - Prob. 6CYUCh. 3.2 - Prob. 7PPSCh. 3.2 - Prob. 8PPSCh. 3.2 - Prob. 9PPSCh. 3.2 - Prob. 10PPSCh. 3.2 - Prob. 11PPSCh. 3.2 - Prob. 12PPSCh. 3.2 - Prob. 13PPSCh. 3.2 - Prob. 14PPSCh. 3.2 - Prob. 15PPSCh. 3.2 - Prob. 16PPSCh. 3.2 - Prob. 17PPSCh. 3.2 - Prob. 18PPSCh. 3.2 - Prob. 19PPSCh. 3.2 - Prob. 20PPSCh. 3.2 - Prob. 21PPSCh. 3.2 - Prob. 22PPSCh. 3.2 - Prob. 23PPSCh. 3.2 - Prob. 24PPSCh. 3.2 - Prob. 25PPSCh. 3.2 - Prob. 26PPSCh. 3.2 - Prob. 27PPSCh. 3.2 - Prob. 28PPSCh. 3.2 - Prob. 29PPSCh. 3.2 - Prob. 30PPSCh. 3.2 - Prob. 31PPSCh. 3.2 - Prob. 32PPSCh. 3.2 - Prob. 33PPSCh. 3.2 - Prob. 34PPSCh. 3.2 - Prob. 35PPSCh. 3.2 - Prob. 36PPSCh. 3.2 - Prob. 37PPSCh. 3.2 - Prob. 38PPSCh. 3.2 - Prob. 39PPSCh. 3.2 - Prob. 40PPSCh. 3.2 - Prob. 41PPSCh. 3.2 - Prob. 42PPSCh. 3.2 - Prob. 43PPSCh. 3.2 - Prob. 44PPSCh. 3.2 - Prob. 45HPCh. 3.2 - Prob. 46HPCh. 3.2 - Prob. 47HPCh. 3.2 - Prob. 48HPCh. 3.2 - Prob. 49HPCh. 3.2 - Prob. 50HPCh. 3.2 - Prob. 51STPCh. 3.2 - Prob. 52STPCh. 3.2 - Prob. 53STPCh. 3.2 - Prob. 54STPCh. 3.2 - Prob. 55SRCh. 3.2 - Prob. 56SRCh. 3.2 - Prob. 57SRCh. 3.2 - Prob. 58SRCh. 3.2 - Prob. 59SRCh. 3.2 - Prob. 60SRCh. 3.2 - Prob. 61SRCh. 3.2 - Prob. 62SRCh. 3.2 - Prob. 63SCh. 3.2 - Prob. 64SCh. 3.2 - Prob. 65SCh. 3.2 - Prob. 66SCh. 3.2 - Prob. 67SCh. 3.2 - Prob. 68SCh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 1AGPCh. 3.3 - Prob. 1BGPCh. 3.3 - Prob. 2AGPCh. 3.3 - Prob. 2BGPCh. 3.3 - Prob. 3GPCh. 3.3 - Prob. 1CYUCh. 3.3 - Prob. 2CYUCh. 3.3 - Prob. 3CYUCh. 3.3 - Prob. 4CYUCh. 3.3 - Prob. 5CYUCh. 3.3 - Prob. 6CYUCh. 3.3 - Prob. 7CYUCh. 3.3 - Prob. 8PPSCh. 3.3 - Prob. 9PPSCh. 3.3 - Prob. 10PPSCh. 3.3 - Prob. 11PPSCh. 3.3 - Prob. 12PPSCh. 3.3 - Prob. 13PPSCh. 3.3 - Prob. 14PPSCh. 3.3 - Prob. 15PPSCh. 3.3 - Prob. 16PPSCh. 3.3 - Prob. 17PPSCh. 3.3 - Prob. 18PPSCh. 3.3 - Prob. 19PPSCh. 3.3 - Prob. 20PPSCh. 3.3 - Prob. 21PPSCh. 3.3 - Prob. 22PPSCh. 3.3 - Prob. 23PPSCh. 3.3 - Prob. 24PPSCh. 3.3 - Prob. 25PPSCh. 3.3 - Prob. 26PPSCh. 3.3 - Prob. 27PPSCh. 3.3 - Prob. 28PPSCh. 3.3 - Prob. 29HPCh. 3.3 - Prob. 30HPCh. 3.3 - Prob. 31HPCh. 3.3 - Prob. 32HPCh. 3.3 - Prob. 33HPCh. 3.3 - Prob. 34STPCh. 3.3 - Prob. 35STPCh. 3.3 - Prob. 36STPCh. 3.3 - Prob. 37STPCh. 3.3 - Prob. 38SRCh. 3.3 - Prob. 39SRCh. 3.3 - Prob. 40SRCh. 3.3 - Prob. 41SRCh. 3.3 - Prob. 42SRCh. 3.3 - Prob. 43SRCh. 3.3 - Prob. 44SRCh. 3.3 - Prob. 45SRCh. 3.3 - Prob. 46SRCh. 3.3 - Prob. 47SRCh. 3.3 - Prob. 48SRCh. 3.3 - Prob. 49SRCh. 3.3 - Prob. 50SCh. 3.3 - Prob. 51SCh. 3.3 - Prob. 52SCh. 3.3 - Prob. 53SCh. 3.3 - Prob. 54SCh. 3.3 - Prob. 55SCh. 3.4 - Prob. 1AGPCh. 3.4 - Prob. 1BGPCh. 3.4 - Prob. 2AGPCh. 3.4 - Prob. 2BGPCh. 3.4 - Prob. 3GPCh. 3.4 - Prob. 1CYUCh. 3.4 - Prob. 2CYUCh. 3.4 - Prob. 3CYUCh. 3.4 - Prob. 4CYUCh. 3.4 - Prob. 5CYUCh. 3.4 - Prob. 6CYUCh. 3.4 - Prob. 7CYUCh. 3.4 - Prob. 8PPSCh. 3.4 - Prob. 9PPSCh. 3.4 - Prob. 10PPSCh. 3.4 - Prob. 11PPSCh. 3.4 - Prob. 12PPSCh. 3.4 - Prob. 13PPSCh. 3.4 - Prob. 14PPSCh. 3.4 - Prob. 15PPSCh. 3.4 - Prob. 16PPSCh. 3.4 - Prob. 17PPSCh. 3.4 - Prob. 18PPSCh. 3.4 - Prob. 19PPSCh. 3.4 - Prob. 20PPSCh. 3.4 - Prob. 21PPSCh. 3.4 - Prob. 22PPSCh. 3.4 - Prob. 23PPSCh. 3.4 - Prob. 24HPCh. 3.4 - Prob. 25HPCh. 3.4 - Prob. 26HPCh. 3.4 - Prob. 27HPCh. 3.4 - Prob. 28HPCh. 3.4 - Prob. 29HPCh. 3.4 - Prob. 30STPCh. 3.4 - Prob. 31STPCh. 3.4 - Prob. 32STPCh. 3.4 - Prob. 33STPCh. 3.4 - Prob. 34SRCh. 3.4 - Prob. 35SRCh. 3.4 - Prob. 36SRCh. 3.4 - Prob. 37SRCh. 3.4 - Prob. 38SRCh. 3.4 - Prob. 39SCh. 3.4 - Prob. 40SCh. 3.4 - Prob. 41SCh. 3.4 - Prob. 42SCh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 1GPCh. 3.5 - Prob. 2AGPCh. 3.5 - Prob. 2BGPCh. 3.5 - Prob. 2CGPCh. 3.5 - Prob. 3GPCh. 3.5 - Prob. 4GPCh. 3.5 - Prob. 5GPCh. 3.5 - Prob. 1CYUCh. 3.5 - Prob. 2CYUCh. 3.5 - Prob. 3CYUCh. 3.5 - Prob. 4CYUCh. 3.5 - Prob. 5CYUCh. 3.5 - Prob. 6CYUCh. 3.5 - Prob. 7CYUCh. 3.5 - Prob. 8CYUCh. 3.5 - Prob. 9CYUCh. 3.5 - Prob. 10CYUCh. 3.5 - Prob. 11CYUCh. 3.5 - Prob. 12CYUCh. 3.5 - Prob. 13PPSCh. 3.5 - Prob. 14PPSCh. 3.5 - Prob. 15PPSCh. 3.5 - Prob. 16PPSCh. 3.5 - Prob. 17PPSCh. 3.5 - Prob. 18PPSCh. 3.5 - Prob. 19PPSCh. 3.5 - Prob. 20PPSCh. 3.5 - Prob. 21PPSCh. 3.5 - Prob. 22PPSCh. 3.5 - Prob. 23PPSCh. 3.5 - Prob. 24PPSCh. 3.5 - Prob. 25PPSCh. 3.5 - Prob. 26PPSCh. 3.5 - Prob. 27PPSCh. 3.5 - Prob. 28PPSCh. 3.5 - Prob. 29PPSCh. 3.5 - Prob. 30PPSCh. 3.5 - Prob. 31HPCh. 3.5 - Prob. 32HPCh. 3.5 - Prob. 33HPCh. 3.5 - Prob. 34HPCh. 3.5 - Prob. 35HPCh. 3.5 - Prob. 36HPCh. 3.5 - Prob. 37STPCh. 3.5 - Prob. 38STPCh. 3.5 - Prob. 39STPCh. 3.5 - Prob. 40STPCh. 3.5 - Prob. 41SRCh. 3.5 - Prob. 42SRCh. 3.5 - Prob. 43SRCh. 3.5 - Prob. 44SRCh. 3.5 - Prob. 45SRCh. 3.5 - Prob. 46SRCh. 3.5 - Prob. 47SRCh. 3.5 - Prob. 48SRCh. 3.5 - Prob. 49SRCh. 3.5 - Prob. 50SCh. 3.5 - Prob. 51SCh. 3.5 - Prob. 52SCh. 3.6 - Prob. 1AGPCh. 3.6 - Prob. 1BGPCh. 3.6 - Prob. 2GPCh. 3.6 - Prob. 3GPCh. 3.6 - Prob. 4GPCh. 3.6 - Prob. 5GPCh. 3.6 - Prob. 1CYUCh. 3.6 - Prob. 2CYUCh. 3.6 - Prob. 3CYUCh. 3.6 - Prob. 4CYUCh. 3.6 - Prob. 5CYUCh. 3.6 - Prob. 6CYUCh. 3.6 - Prob. 7CYUCh. 3.6 - Prob. 8CYUCh. 3.6 - Prob. 9CYUCh. 3.6 - Prob. 10CYUCh. 3.6 - Prob. 11CYUCh. 3.6 - Prob. 12CYUCh. 3.6 - Prob. 13CYUCh. 3.6 - Prob. 14CYUCh. 3.6 - Prob. 15PPSCh. 3.6 - Prob. 16PPSCh. 3.6 - Prob. 17PPSCh. 3.6 - Prob. 18PPSCh. 3.6 - Prob. 19PPSCh. 3.6 - Prob. 20PPSCh. 3.6 - Prob. 21PPSCh. 3.6 - Prob. 22PPSCh. 3.6 - Prob. 23PPSCh. 3.6 - Prob. 24PPSCh. 3.6 - Prob. 25PPSCh. 3.6 - Prob. 26PPSCh. 3.6 - Prob. 27PPSCh. 3.6 - Prob. 28PPSCh. 3.6 - Prob. 29PPSCh. 3.6 - Prob. 30PPSCh. 3.6 - Prob. 31PPSCh. 3.6 - Prob. 32PPSCh. 3.6 - Prob. 33PPSCh. 3.6 - Prob. 34PPSCh. 3.6 - Prob. 35PPSCh. 3.6 - Prob. 36PPSCh. 3.6 - Prob. 37PPSCh. 3.6 - Prob. 38PPSCh. 3.6 - Prob. 39PPSCh. 3.6 - Prob. 40PPSCh. 3.6 - Prob. 41PPSCh. 3.6 - Prob. 42PPSCh. 3.6 - Prob. 43PPSCh. 3.6 - Prob. 44PPSCh. 3.6 - Prob. 45PPSCh. 3.6 - Prob. 46HPCh. 3.6 - Prob. 47HPCh. 3.6 - Prob. 48HPCh. 3.6 - Prob. 49HPCh. 3.6 - Prob. 50HPCh. 3.6 - Prob. 51STPCh. 3.6 - Prob. 52STPCh. 3.6 - Prob. 53STPCh. 3.6 - Prob. 54STPCh. 3.6 - Prob. 55SRCh. 3.6 - Prob. 56SRCh. 3.6 - Prob. 57SRCh. 3.6 - Prob. 58SRCh. 3.6 - Prob. 59SRCh. 3.6 - Prob. 60SRCh. 3.6 - Prob. 61SRCh. 3.6 - Prob. 62SRCh. 3.6 - Prob. 63SCh. 3.6 - Prob. 64SCh. 3.6 - Prob. 65SCh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.7 - Prob. 1AGPCh. 3.7 - Prob. 1BGPCh. 3.7 - Prob. 2AGPCh. 3.7 - Prob. 2BGPCh. 3.7 - Prob. 3GPCh. 3.7 - Prob. 4AGPCh. 3.7 - Prob. 4BGPCh. 3.7 - Prob. 5AGPCh. 3.7 - Prob. 5BGPCh. 3.7 - Prob. 1CYUCh. 3.7 - Prob. 2CYUCh. 3.7 - Prob. 3CYUCh. 3.7 - Prob. 4CYUCh. 3.7 - Prob. 5CYUCh. 3.7 - Prob. 6CYUCh. 3.7 - Prob. 7CYUCh. 3.7 - Prob. 8CYUCh. 3.7 - Prob. 9CYUCh. 3.7 - Prob. 10CYUCh. 3.7 - Prob. 11CYUCh. 3.7 - Prob. 12CYUCh. 3.7 - Prob. 13CYUCh. 3.7 - Prob. 14CYUCh. 3.7 - Prob. 15CYUCh. 3.7 - Prob. 16CYUCh. 3.7 - Prob. 17CYUCh. 3.7 - Prob. 18CYUCh. 3.7 - Prob. 19CYUCh. 3.7 - Prob. 20CYUCh. 3.7 - Prob. 21CYUCh. 3.7 - Prob. 22CYUCh. 3.7 - Prob. 23CYUCh. 3.7 - Prob. 24CYUCh. 3.7 - Prob. 25CYUCh. 3.7 - Prob. 26PPSCh. 3.7 - Prob. 27PPSCh. 3.7 - Prob. 28PPSCh. 3.7 - Prob. 29PPSCh. 3.7 - Prob. 30PPSCh. 3.7 - Prob. 31PPSCh. 3.7 - Prob. 32PPSCh. 3.7 - Prob. 33PPSCh. 3.7 - Prob. 34PPSCh. 3.7 - Prob. 35PPSCh. 3.7 - Prob. 36PPSCh. 3.7 - Prob. 37PPSCh. 3.7 - Prob. 38PPSCh. 3.7 - Prob. 39PPSCh. 3.7 - Prob. 40PPSCh. 3.7 - Prob. 41PPSCh. 3.7 - Prob. 42PPSCh. 3.7 - Prob. 43PPSCh. 3.7 - Prob. 44PPSCh. 3.7 - Prob. 45PPSCh. 3.7 - Prob. 46PPSCh. 3.7 - Prob. 47PPSCh. 3.7 - Prob. 48PPSCh. 3.7 - Prob. 49PPSCh. 3.7 - Prob. 50PPSCh. 3.7 - Prob. 51PPSCh. 3.7 - Prob. 52PPSCh. 3.7 - Prob. 53PPSCh. 3.7 - Prob. 54PPSCh. 3.7 - Prob. 55PPSCh. 3.7 - Prob. 56HPCh. 3.7 - Prob. 57HPCh. 3.7 - Prob. 58HPCh. 3.7 - Prob. 59HPCh. 3.7 - Prob. 60HPCh. 3.7 - Prob. 61HPCh. 3.7 - Prob. 62STPCh. 3.7 - Prob. 63STPCh. 3.7 - Prob. 64STPCh. 3.7 - Prob. 65STPCh. 3.7 - Prob. 66SRCh. 3.7 - Prob. 67SRCh. 3.7 - Prob. 68SRCh. 3.7 - Prob. 69SRCh. 3.7 - Prob. 70SRCh. 3.7 - Prob. 71SRCh. 3.7 - Prob. 72SRCh. 3.7 - Prob. 73SCh. 3.7 - Prob. 74SCh. 3.7 - Prob. 75SCh. 3.8 - Prob. 1GPCh. 3.8 - Prob. 2AGPCh. 3.8 - Prob. 2BGPCh. 3.8 - Prob. 3GPCh. 3.8 - Prob. 1CYUCh. 3.8 - Prob. 2CYUCh. 3.8 - Prob. 3CYUCh. 3.8 - Prob. 4CYUCh. 3.8 - Prob. 5CYUCh. 3.8 - Prob. 6CYUCh. 3.8 - Prob. 7CYUCh. 3.8 - Prob. 8CYUCh. 3.8 - Prob. 9CYUCh. 3.8 - Prob. 10CYUCh. 3.8 - Prob. 11CYUCh. 3.8 - Prob. 12CYUCh. 3.8 - Prob. 13PPSCh. 3.8 - Prob. 14PPSCh. 3.8 - Prob. 15PPSCh. 3.8 - Prob. 16PPSCh. 3.8 - Prob. 17PPSCh. 3.8 - Prob. 18PPSCh. 3.8 - Prob. 19PPSCh. 3.8 - Prob. 20PPSCh. 3.8 - Prob. 21PPSCh. 3.8 - Prob. 22PPSCh. 3.8 - Prob. 23PPSCh. 3.8 - Prob. 24PPSCh. 3.8 - Prob. 25PPSCh. 3.8 - Prob. 26PPSCh. 3.8 - Prob. 27PPSCh. 3.8 - Prob. 28PPSCh. 3.8 - Prob. 29PPSCh. 3.8 - Prob. 30PPSCh. 3.8 - Prob. 31PPSCh. 3.8 - Prob. 32PPSCh. 3.8 - Prob. 33PPSCh. 3.8 - Prob. 34PPSCh. 3.8 - Prob. 35PPSCh. 3.8 - Prob. 36PPSCh. 3.8 - Prob. 37PPSCh. 3.8 - Prob. 38HPCh. 3.8 - Prob. 39HPCh. 3.8 - Prob. 40HPCh. 3.8 - Prob. 41HPCh. 3.8 - Prob. 42HPCh. 3.8 - Prob. 43STPCh. 3.8 - Prob. 44STPCh. 3.8 - Prob. 45STPCh. 3.8 - Prob. 46STPCh. 3.8 - Prob. 47SRCh. 3.8 - Prob. 48SRCh. 3.8 - Prob. 49SRCh. 3.8 - Prob. 50SRCh. 3.8 - Prob. 51SRCh. 3.8 - Prob. 52SRCh. 3.8 - Prob. 53SRCh. 3.8 - Prob. 54SCh. 3.8 - Prob. 55SCh. 3.8 - Prob. 56SCh. 3.8 - Prob. 1ECh. 3.8 - Prob. 2ECh. 3.8 - Prob. 3ECh. 3.8 - Prob. 4ECh. 3.8 - Prob. 5ECh. 3.8 - Prob. 6ECh. 3 - Prob. 1QCCh. 3 - Prob. 2QCCh. 3 - Prob. 3QCCh. 3 - Prob. 4QCCh. 3 - Prob. 5QCCh. 3 - Prob. 6QCCh. 3 - Prob. 7QCCh. 3 - Prob. 8QCCh. 3 - Prob. 9QCCh. 3 - Prob. 10QCCh. 3 - Prob. 11QCCh. 3 - Prob. 12QCCh. 3 - Prob. 13QCCh. 3 - Prob. 14QCCh. 3 - Prob. 1SGRCh. 3 - Prob. 2SGRCh. 3 - Prob. 3SGRCh. 3 - Prob. 4SGRCh. 3 - Prob. 5SGRCh. 3 - Prob. 6SGRCh. 3 - Prob. 7SGRCh. 3 - Prob. 8SGRCh. 3 - Prob. 9SGRCh. 3 - Prob. 10SGRCh. 3 - Prob. 11SGRCh. 3 - Prob. 12SGRCh. 3 - Prob. 13SGRCh. 3 - Prob. 14SGRCh. 3 - Prob. 15SGRCh. 3 - Prob. 16SGRCh. 3 - Prob. 17SGRCh. 3 - Prob. 18SGRCh. 3 - Prob. 19SGRCh. 3 - Prob. 20SGRCh. 3 - Prob. 21SGRCh. 3 - Prob. 22SGRCh. 3 - Prob. 23SGRCh. 3 - Prob. 24SGRCh. 3 - Prob. 25SGRCh. 3 - Prob. 26SGRCh. 3 - Prob. 27SGRCh. 3 - Prob. 28SGRCh. 3 - Prob. 29SGRCh. 3 - Prob. 30SGRCh. 3 - Prob. 31SGRCh. 3 - Prob. 32SGRCh. 3 - Prob. 33SGRCh. 3 - Prob. 34SGRCh. 3 - Prob. 35SGRCh. 3 - Prob. 36SGRCh. 3 - Prob. 37SGRCh. 3 - Prob. 38SGRCh. 3 - Prob. 39SGRCh. 3 - Prob. 40SGRCh. 3 - Prob. 41SGRCh. 3 - Prob. 42SGRCh. 3 - Prob. 43SGRCh. 3 - Prob. 44SGRCh. 3 - Prob. 45SGRCh. 3 - Prob. 46SGRCh. 3 - Prob. 47SGRCh. 3 - Prob. 48SGRCh. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Prob. 11PTCh. 3 - Prob. 12PTCh. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 1ECh. 3 - Prob. 2ECh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 7ECh. 3 - Prob. 8ECh. 3 - Prob. 1STPCh. 3 - Prob. 2STPCh. 3 - Prob. 3STPCh. 3 - Prob. 4STPCh. 3 - Prob. 5STPCh. 3 - Prob. 6STPCh. 3 - Prob. 7STPCh. 3 - Prob. 8STPCh. 3 - Prob. 9STPCh. 3 - Prob. 10STPCh. 3 - Prob. 11STPCh. 3 - Prob. 12STPCh. 3 - Prob. 13STP

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