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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Chapter 6.1, Problem 17PPS
To determine

The value of fg and gf if they exist for the pair of functions f={(8,4),(0,4),(2,6),(6,2)} and g={(4,4),(2,1),(4,0),(6,5)} .

Expert Solution & Answer
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Answer to Problem 17PPS

The value of fg={(4,4)}and gf={(8,0),(0,4),(2,5),(6,1)} .

Explanation of Solution

Given information: The given functions are,

  f={(8,4),(0,4),(2,6),(6,2)}g={(4,4),(2,1),(4,0),(6,5)}

Calculation: To evaluate fg first evaluate g(x) and then use range of g(x) as domain of f(x) to evaluate fg . Therefore g(x) is evaluated as,

  (g(4)=4g(2)=1g(4)=0g(6)=5)

Now, evaluating fg using the range of g(x) as domain of f(x) .

  f[g(4)]=f(4) which is undefinedf[g(2)]=f(1) also undefinedf[g(4)]=f(0)=4f[g(6)]=f(5)also undefined

Since 4,1 and5 do not lie in domain of f , therefore fg is undefined for the points 4,1 and5 , but f[g(4)]=4 . Therefore fg={(4,4)} .

Similarly to find gf evaluate f(x) first and then use range of f(x) as domain of g(x) to evaluate gf . Therefore f(x) is evaluated as,

  (f(8)=4f(0)=4f(2)=6f(6)=2)

Now, evaluating gf using the range of f(x) as domain of g(x) .

  g[f(8)]=g(4)=0g[f(0)]=g(4)=4g[f(2)]=g(6)=5g[f(6)]=g(2)=1

Since g[f(8)]=0,g[f(0)]=4,g[f(2)]=5 and g[f(6)]=1 .

Therefore gf={(8,0),(0,4),(2,5),(6,1)} .

Chapter 6 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 6.1 - Prob. 4CYUCh. 6.1 - Prob. 5CYUCh. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYUCh. 6.1 - Prob. 8PPSCh. 6.1 - Prob. 9PPSCh. 6.1 - Prob. 10PPSCh. 6.1 - Prob. 11PPSCh. 6.1 - Prob. 12PPSCh. 6.1 - Prob. 13PPSCh. 6.1 - Prob. 14PPSCh. 6.1 - Prob. 15PPSCh. 6.1 - Prob. 16PPSCh. 6.1 - Prob. 17PPSCh. 6.1 - Prob. 18PPSCh. 6.1 - Prob. 19PPSCh. 6.1 - Prob. 20PPSCh. 6.1 - Prob. 21PPSCh. 6.1 - Prob. 22PPSCh. 6.1 - Prob. 23PPSCh. 6.1 - Prob. 24PPSCh. 6.1 - Prob. 25PPSCh. 6.1 - Prob. 26PPSCh. 6.1 - Prob. 27PPSCh. 6.1 - Prob. 28PPSCh. 6.1 - Prob. 29PPSCh. 6.1 - Prob. 30PPSCh. 6.1 - Prob. 31PPSCh. 6.1 - Prob. 32PPSCh. 6.1 - Prob. 33PPSCh. 6.1 - Prob. 34PPSCh. 6.1 - Prob. 35PPSCh. 6.1 - Prob. 36PPSCh. 6.1 - Prob. 37PPSCh. 6.1 - Prob. 38PPSCh. 6.1 - Prob. 39PPSCh. 6.1 - Prob. 40PPSCh. 6.1 - Prob. 41PPSCh. 6.1 - Prob. 42PPSCh. 6.1 - Prob. 43PPSCh. 6.1 - Prob. 44PPSCh. 6.1 - Prob. 45PPSCh. 6.1 - Prob. 46PPSCh. 6.1 - Prob. 47PPSCh. 6.1 - Prob. 48PPSCh. 6.1 - Prob. 49PPSCh. 6.1 - Prob. 50PPSCh. 6.1 - Prob. 51PPSCh. 6.1 - Prob. 52PPSCh. 6.1 - Prob. 53PPSCh. 6.1 - Prob. 54PPSCh. 6.1 - Prob. 55PPSCh. 6.1 - Prob. 56PPSCh. 6.1 - Prob. 57PPSCh. 6.1 - Prob. 58PPSCh. 6.1 - Prob. 59HPCh. 6.1 - Prob. 60HPCh. 6.1 - Prob. 61HPCh. 6.1 - Prob. 62HPCh. 6.1 - Prob. 63HPCh. 6.1 - Prob. 64STPCh. 6.1 - Prob. 65STPCh. 6.1 - Prob. 66STPCh. 6.1 - Prob. 67STPCh. 6.1 - Prob. 68SRCh. 6.1 - Prob. 69SRCh. 6.1 - Prob. 70SRCh. 6.1 - Prob. 71SRCh. 6.1 - Prob. 72SRCh. 6.1 - Prob. 73SRCh. 6.1 - Prob. 74SRCh. 6.1 - Prob. 75SRCh. 6.1 - Prob. 76SRCh. 6.1 - Prob. 77SRCh. 6.1 - Prob. 78SRCh. 6.1 - Prob. 79SRCh. 6.1 - Prob. 80SRCh. 6.1 - Prob. 81SCh. 6.1 - Prob. 82SCh. 6.1 - Prob. 83SCh. 6.1 - Prob. 84SCh. 6.1 - Prob. 85SCh. 6.1 - Prob. 86SCh. 6.2 - Prob. 1GPCh. 6.2 - Prob. 2AGPCh. 6.2 - Prob. 2BGPCh. 6.2 - Prob. 3AGPCh. 6.2 - Prob. 3BGPCh. 6.2 - Prob. 1CYUCh. 6.2 - Prob. 2CYUCh. 6.2 - Prob. 3CYUCh. 6.2 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - Prob. 6CYUCh. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8CYUCh. 6.2 - Prob. 9PPSCh. 6.2 - Prob. 10PPSCh. 6.2 - Prob. 11PPSCh. 6.2 - Prob. 12PPSCh. 6.2 - Prob. 13PPSCh. 6.2 - Prob. 14PPSCh. 6.2 - Prob. 15PPSCh. 6.2 - Prob. 16PPSCh. 6.2 - Prob. 17PPSCh. 6.2 - Prob. 18PPSCh. 6.2 - Prob. 19PPSCh. 6.2 - Prob. 20PPSCh. 6.2 - Prob. 21PPSCh. 6.2 - Prob. 22PPSCh. 6.2 - Prob. 23PPSCh. 6.2 - Prob. 24PPSCh. 6.2 - Prob. 25PPSCh. 6.2 - Prob. 26PPSCh. 6.2 - Prob. 27PPSCh. 6.2 - Prob. 28PPSCh. 6.2 - Prob. 29PPSCh. 6.2 - Prob. 30PPSCh. 6.2 - Prob. 31PPSCh. 6.2 - Prob. 32PPSCh. 6.2 - Prob. 33PPSCh. 6.2 - Prob. 34PPSCh. 6.2 - Prob. 35PPSCh. 6.2 - Prob. 36PPSCh. 6.2 - Prob. 37PPSCh. 6.2 - Prob. 38PPSCh. 6.2 - Prob. 39PPSCh. 6.2 - Prob. 40PPSCh. 6.2 - Prob. 41PPSCh. 6.2 - Prob. 42PPSCh. 6.2 - Prob. 43PPSCh. 6.2 - Prob. 44PPSCh. 6.2 - Prob. 45PPSCh. 6.2 - Prob. 46PPSCh. 6.2 - Prob. 47PPSCh. 6.2 - Prob. 48PPSCh. 6.2 - Prob. 49PPSCh. 6.2 - Prob. 50PPSCh. 6.2 - Prob. 51PPSCh. 6.2 - Prob. 52HPCh. 6.2 - Prob. 53HPCh. 6.2 - Prob. 54HPCh. 6.2 - Prob. 55HPCh. 6.2 - Prob. 56HPCh. 6.2 - Prob. 57STPCh. 6.2 - Prob. 58STPCh. 6.2 - Prob. 59STPCh. 6.2 - Prob. 60STPCh. 6.2 - Prob. 61SRCh. 6.2 - Prob. 62SRCh. 6.2 - Prob. 63SRCh. 6.2 - Prob. 64SRCh. 6.2 - Prob. 65SRCh. 6.2 - Prob. 66SRCh. 6.2 - Prob. 67SRCh. 6.2 - Prob. 68SRCh. 6.2 - Prob. 69SRCh. 6.2 - Prob. 70SRCh. 6.2 - Prob. 71SRCh. 6.2 - Prob. 72SRCh. 6.2 - Prob. 73SRCh. 6.2 - Prob. 74SCh. 6.2 - Prob. 75SCh. 6.2 - Prob. 76SCh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Prob. 7ECh. 6.2 - Prob. 8ECh. 6.3 - Prob. 1AGPCh. 6.3 - Prob. 1BGPCh. 6.3 - Prob. 2AGPCh. 6.3 - Prob. 2BGPCh. 6.3 - Prob. 3GPCh. 6.3 - Prob. 4AGPCh. 6.3 - Prob. 4BGPCh. 6.3 - Prob. 1CYUCh. 6.3 - Prob. 2CYUCh. 6.3 - Prob. 3CYUCh. 6.3 - Prob. 4CYUCh. 6.3 - Prob. 5CYUCh. 6.3 - Prob. 6CYUCh. 6.3 - Prob. 7CYUCh. 6.3 - Prob. 8CYUCh. 6.3 - Prob. 9CYUCh. 6.3 - Prob. 10CYUCh. 6.3 - Prob. 11CYUCh. 6.3 - Prob. 12CYUCh. 6.3 - Prob. 13PPSCh. 6.3 - Prob. 14PPSCh. 6.3 - Prob. 15PPSCh. 6.3 - Prob. 16PPSCh. 6.3 - Prob. 17PPSCh. 6.3 - Prob. 18PPSCh. 6.3 - Prob. 19PPSCh. 6.3 - Prob. 20PPSCh. 6.3 - Prob. 21PPSCh. 6.3 - Prob. 22PPSCh. 6.3 - Prob. 23PPSCh. 6.3 - Prob. 24PPSCh. 6.3 - Prob. 25PPSCh. 6.3 - Prob. 26PPSCh. 6.3 - Prob. 27PPSCh. 6.3 - Prob. 28PPSCh. 6.3 - Prob. 29PPSCh. 6.3 - Prob. 30PPSCh. 6.3 - Prob. 31PPSCh. 6.3 - Prob. 32PPSCh. 6.3 - Prob. 33PPSCh. 6.3 - Prob. 34PPSCh. 6.3 - Prob. 35PPSCh. 6.3 - Prob. 36PPSCh. 6.3 - Prob. 37PPSCh. 6.3 - Prob. 38PPSCh. 6.3 - Prob. 39PPSCh. 6.3 - Prob. 40PPSCh. 6.3 - Prob. 41PPSCh. 6.3 - Prob. 42PPSCh. 6.3 - Prob. 43PPSCh. 6.3 - Prob. 44PPSCh. 6.3 - Prob. 45PPSCh. 6.3 - Prob. 46PPSCh. 6.3 - Prob. 47HPCh. 6.3 - Prob. 48HPCh. 6.3 - Prob. 49HPCh. 6.3 - Prob. 50HPCh. 6.3 - Prob. 51HPCh. 6.3 - Prob. 52HPCh. 6.3 - Prob. 53HPCh. 6.3 - Prob. 54STPCh. 6.3 - Prob. 55STPCh. 6.3 - Prob. 56STPCh. 6.3 - Prob. 57STPCh. 6.3 - Prob. 58SRCh. 6.3 - Prob. 59SRCh. 6.3 - Prob. 60SRCh. 6.3 - Prob. 61SRCh. 6.3 - Prob. 62SRCh. 6.3 - Prob. 63SCh. 6.3 - Prob. 64SCh. 6.3 - Prob. 65SCh. 6.3 - Prob. 66SCh. 6.4 - Prob. 1AGPCh. 6.4 - Prob. 1BGPCh. 6.4 - Prob. 2AGPCh. 6.4 - Prob. 2BGPCh. 6.4 - Prob. 3AGPCh. 6.4 - Prob. 3BGPCh. 6.4 - Prob. 1CYUCh. 6.4 - Prob. 2CYUCh. 6.4 - Prob. 3CYUCh. 6.4 - Prob. 4CYUCh. 6.4 - Prob. 5CYUCh. 6.4 - Prob. 6CYUCh. 6.4 - Prob. 7CYUCh. 6.4 - Prob. 8CYUCh. 6.4 - Prob. 9CYUCh. 6.4 - Prob. 10CYUCh. 6.4 - Prob. 11CYUCh. 6.4 - Prob. 12PPSCh. 6.4 - Prob. 13PPSCh. 6.4 - Prob. 14PPSCh. 6.4 - Prob. 15PPSCh. 6.4 - Prob. 16PPSCh. 6.4 - Prob. 17PPSCh. 6.4 - Prob. 18PPSCh. 6.4 - Prob. 19PPSCh. 6.4 - Prob. 20PPSCh. 6.4 - Prob. 21PPSCh. 6.4 - Prob. 22PPSCh. 6.4 - Prob. 23PPSCh. 6.4 - Prob. 24PPSCh. 6.4 - Prob. 25PPSCh. 6.4 - Prob. 26PPSCh. 6.4 - Prob. 27PPSCh. 6.4 - Prob. 28PPSCh. 6.4 - Prob. 29PPSCh. 6.4 - Prob. 30PPSCh. 6.4 - Prob. 31PPSCh. 6.4 - Prob. 32PPSCh. 6.4 - Prob. 33PPSCh. 6.4 - Prob. 34PPSCh. 6.4 - Prob. 35PPSCh. 6.4 - Prob. 36PPSCh. 6.4 - Prob. 37PPSCh. 6.4 - Prob. 38PPSCh. 6.4 - Prob. 39PPSCh. 6.4 - Prob. 40PPSCh. 6.4 - Prob. 41PPSCh. 6.4 - Prob. 42PPSCh. 6.4 - Prob. 43PPSCh. 6.4 - Prob. 44PPSCh. 6.4 - Prob. 45PPSCh. 6.4 - Prob. 46PPSCh. 6.4 - Prob. 47PPSCh. 6.4 - Prob. 48PPSCh. 6.4 - Prob. 49PPSCh. 6.4 - Prob. 50PPSCh. 6.4 - Prob. 51PPSCh. 6.4 - Prob. 52PPSCh. 6.4 - Prob. 53PPSCh. 6.4 - Prob. 54PPSCh. 6.4 - Prob. 55PPSCh. 6.4 - Prob. 56PPSCh. 6.4 - Prob. 57PPSCh. 6.4 - Prob. 58PPSCh. 6.4 - Prob. 59HPCh. 6.4 - Prob. 60HPCh. 6.4 - Prob. 61HPCh. 6.4 - Prob. 62HPCh. 6.4 - Prob. 63HPCh. 6.4 - Prob. 64HPCh. 6.4 - Prob. 65HPCh. 6.4 - Prob. 66HPCh. 6.4 - Prob. 67HPCh. 6.4 - Prob. 68HPCh. 6.4 - Prob. 69HPCh. 6.4 - Prob. 70STPCh. 6.4 - Prob. 71STPCh. 6.4 - Prob. 72STPCh. 6.4 - Prob. 73STPCh. 6.4 - Prob. 74SRCh. 6.4 - Prob. 75SRCh. 6.4 - Prob. 76SRCh. 6.4 - Prob. 77SRCh. 6.4 - Prob. 78SRCh. 6.4 - Prob. 79SRCh. 6.4 - Prob. 80SRCh. 6.4 - Prob. 81SRCh. 6.4 - Prob. 82SRCh. 6.4 - Prob. 83SRCh. 6.4 - Prob. 84SRCh. 6.4 - Prob. 85SRCh. 6.4 - Prob. 86SRCh. 6.4 - Prob. 87SCh. 6.4 - Prob. 88SCh. 6.4 - Prob. 89SCh. 6.4 - Prob. 90SCh. 6.4 - Prob. 91SCh. 6.4 - Prob. 92SCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Prob. 8ECh. 6.4 - Prob. 1MCQCh. 6.4 - Prob. 2MCQCh. 6.4 - Prob. 3MCQCh. 6.4 - Prob. 4MCQCh. 6.4 - Prob. 5MCQCh. 6.4 - Prob. 6MCQCh. 6.4 - Prob. 7MCQCh. 6.4 - Prob. 8MCQCh. 6.4 - Prob. 9MCQCh. 6.4 - Prob. 10MCQCh. 6.4 - Prob. 11MCQCh. 6.4 - Prob. 12MCQCh. 6.4 - Prob. 13MCQCh. 6.4 - Prob. 14MCQCh. 6.4 - Prob. 15MCQCh. 6.4 - Prob. 16MCQCh. 6.4 - Prob. 17MCQCh. 6.4 - Prob. 18MCQCh. 6.4 - Prob. 19MCQCh. 6.4 - Prob. 20MCQCh. 6.4 - Prob. 21MCQCh. 6.4 - Prob. 22MCQCh. 6.4 - Prob. 23MCQCh. 6.4 - Prob. 24MCQCh. 6.4 - Prob. 25MCQCh. 6.4 - Prob. 26MCQCh. 6.4 - Prob. 27MCQCh. 6.4 - Prob. 28MCQCh. 6.4 - Prob. 29MCQCh. 6.4 - Prob. 30MCQCh. 6.4 - Prob. 31MCQCh. 6.5 - Prob. 1AGPCh. 6.5 - Prob. 1BGPCh. 6.5 - Prob. 2AGPCh. 6.5 - Prob. 2BGPCh. 6.5 - Prob. 3AGPCh. 6.5 - Prob. 3BGPCh. 6.5 - Prob. 4AGPCh. 6.5 - Prob. 4BGPCh. 6.5 - Prob. 5AGPCh. 6.5 - Prob. 5BGPCh. 6.5 - Prob. 6GPCh. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6CYUCh. 6.5 - Prob. 7CYUCh. 6.5 - Prob. 8CYUCh. 6.5 - Prob. 9CYUCh. 6.5 - Prob. 10CYUCh. 6.5 - Prob. 11CYUCh. 6.5 - Prob. 12CYUCh. 6.5 - Prob. 13CYUCh. 6.5 - Prob. 14CYUCh. 6.5 - Prob. 15CYUCh. 6.5 - Prob. 16CYUCh. 6.5 - Prob. 17CYUCh. 6.5 - Prob. 18PPSCh. 6.5 - Prob. 19PPSCh. 6.5 - Prob. 20PPSCh. 6.5 - Prob. 21PPSCh. 6.5 - Prob. 22PPSCh. 6.5 - Prob. 23PPSCh. 6.5 - Prob. 24PPSCh. 6.5 - Prob. 25PPSCh. 6.5 - Prob. 26PPSCh. 6.5 - Prob. 27PPSCh. 6.5 - Prob. 28PPSCh. 6.5 - Prob. 29PPSCh. 6.5 - Prob. 30PPSCh. 6.5 - Prob. 31PPSCh. 6.5 - Prob. 32PPSCh. 6.5 - Prob. 33PPSCh. 6.5 - Prob. 34PPSCh. 6.5 - Prob. 35PPSCh. 6.5 - Prob. 36PPSCh. 6.5 - Prob. 37PPSCh. 6.5 - Prob. 38PPSCh. 6.5 - Prob. 39PPSCh. 6.5 - Prob. 40PPSCh. 6.5 - Prob. 41PPSCh. 6.5 - Prob. 42PPSCh. 6.5 - Prob. 43PPSCh. 6.5 - Prob. 44PPSCh. 6.5 - Prob. 45PPSCh. 6.5 - Prob. 46PPSCh. 6.5 - Prob. 47PPSCh. 6.5 - Prob. 48PPSCh. 6.5 - Prob. 49PPSCh. 6.5 - Prob. 50PPSCh. 6.5 - 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Prob. 1CYUCh. 6.6 - Prob. 2CYUCh. 6.6 - Prob. 3CYUCh. 6.6 - Prob. 4CYUCh. 6.6 - Prob. 5CYUCh. 6.6 - Prob. 6CYUCh. 6.6 - Prob. 7CYUCh. 6.6 - Prob. 8CYUCh. 6.6 - Prob. 9CYUCh. 6.6 - Prob. 10CYUCh. 6.6 - Prob. 11CYUCh. 6.6 - Prob. 12CYUCh. 6.6 - Prob. 13CYUCh. 6.6 - Prob. 14CYUCh. 6.6 - Prob. 15CYUCh. 6.6 - Prob. 16PPSCh. 6.6 - Prob. 17PPSCh. 6.6 - Prob. 18PPSCh. 6.6 - Prob. 19PPSCh. 6.6 - Prob. 20PPSCh. 6.6 - Prob. 21PPSCh. 6.6 - Prob. 22PPSCh. 6.6 - Prob. 23PPSCh. 6.6 - Prob. 24PPSCh. 6.6 - Prob. 25PPSCh. 6.6 - Prob. 26PPSCh. 6.6 - Prob. 27PPSCh. 6.6 - Prob. 28PPSCh. 6.6 - Prob. 29PPSCh. 6.6 - Prob. 30PPSCh. 6.6 - Prob. 31PPSCh. 6.6 - Prob. 32PPSCh. 6.6 - Prob. 33PPSCh. 6.6 - Prob. 34PPSCh. 6.6 - Prob. 35PPSCh. 6.6 - Prob. 36PPSCh. 6.6 - Prob. 37PPSCh. 6.6 - Prob. 38PPSCh. 6.6 - Prob. 39PPSCh. 6.6 - Prob. 40PPSCh. 6.6 - Prob. 41PPSCh. 6.6 - Prob. 42PPSCh. 6.6 - Prob. 43PPSCh. 6.6 - Prob. 44PPSCh. 6.6 - Prob. 45PPSCh. 6.6 - Prob. 46PPSCh. 6.6 - Prob. 47PPSCh. 6.6 - Prob. 48PPSCh. 6.6 - Prob. 49PPSCh. 6.6 - 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Prob. 2AGPCh. 6.7 - Prob. 2BGPCh. 6.7 - Prob. 3GPCh. 6.7 - Prob. 4AGPCh. 6.7 - Prob. 4BGPCh. 6.7 - Prob. 1CYUCh. 6.7 - Prob. 2CYUCh. 6.7 - Prob. 3CYUCh. 6.7 - Prob. 4CYUCh. 6.7 - Prob. 5CYUCh. 6.7 - Prob. 6CYUCh. 6.7 - Prob. 7CYUCh. 6.7 - Prob. 8CYUCh. 6.7 - Prob. 9CYUCh. 6.7 - Prob. 10CYUCh. 6.7 - Prob. 11CYUCh. 6.7 - Prob. 12CYUCh. 6.7 - Prob. 13CYUCh. 6.7 - Prob. 14CYUCh. 6.7 - Prob. 15CYUCh. 6.7 - Prob. 16CYUCh. 6.7 - Prob. 17CYUCh. 6.7 - Prob. 18CYUCh. 6.7 - Prob. 19CYUCh. 6.7 - Prob. 20CYUCh. 6.7 - Prob. 21CYUCh. 6.7 - Prob. 22CYUCh. 6.7 - Prob. 23PPSCh. 6.7 - Prob. 24PPSCh. 6.7 - Prob. 25PPSCh. 6.7 - Prob. 26PPSCh. 6.7 - Prob. 27PPSCh. 6.7 - Prob. 28PPSCh. 6.7 - Prob. 29PPSCh. 6.7 - Prob. 30PPSCh. 6.7 - Prob. 31PPSCh. 6.7 - Prob. 32PPSCh. 6.7 - Prob. 33PPSCh. 6.7 - Prob. 34PPSCh. 6.7 - Prob. 35PPSCh. 6.7 - Prob. 36PPSCh. 6.7 - Prob. 37PPSCh. 6.7 - Prob. 38PPSCh. 6.7 - Prob. 39PPSCh. 6.7 - Prob. 40PPSCh. 6.7 - Prob. 41PPSCh. 6.7 - Prob. 42PPSCh. 6.7 - Prob. 43PPSCh. 6.7 - Prob. 44PPSCh. 6.7 - Prob. 45PPSCh. 6.7 - Prob. 46PPSCh. 6.7 - Prob. 47PPSCh. 6.7 - Prob. 48PPSCh. 6.7 - Prob. 49PPSCh. 6.7 - Prob. 50PPSCh. 6.7 - Prob. 51PPSCh. 6.7 - Prob. 52PPSCh. 6.7 - Prob. 53PPSCh. 6.7 - Prob. 54PPSCh. 6.7 - Prob. 55PPSCh. 6.7 - Prob. 56PPSCh. 6.7 - Prob. 57PPSCh. 6.7 - Prob. 58PPSCh. 6.7 - Prob. 59PPSCh. 6.7 - Prob. 60PPSCh. 6.7 - Prob. 61PPSCh. 6.7 - Prob. 62PPSCh. 6.7 - Prob. 63PPSCh. 6.7 - Prob. 64PPSCh. 6.7 - Prob. 65PPSCh. 6.7 - Prob. 66PPSCh. 6.7 - Prob. 67HPCh. 6.7 - Prob. 68HPCh. 6.7 - Prob. 69HPCh. 6.7 - Prob. 70HPCh. 6.7 - Prob. 71HPCh. 6.7 - Prob. 72HPCh. 6.7 - Prob. 73HPCh. 6.7 - Prob. 74HPCh. 6.7 - Prob. 75HPCh. 6.7 - Prob. 76STPCh. 6.7 - Prob. 77STPCh. 6.7 - Prob. 78STPCh. 6.7 - Prob. 79STPCh. 6.7 - Prob. 80SRCh. 6.7 - Prob. 81SRCh. 6.7 - Prob. 82SRCh. 6.7 - Prob. 83SRCh. 6.7 - Prob. 84SRCh. 6.7 - Prob. 85SRCh. 6.7 - Prob. 86SRCh. 6.7 - Prob. 87SRCh. 6.7 - Prob. 88SRCh. 6.7 - Prob. 89SRCh. 6.7 - Prob. 90SRCh. 6.7 - Prob. 91SCh. 6.7 - Prob. 92SCh. 6.7 - Prob. 93SCh. 6.7 - Prob. 94SCh. 6.7 - Prob. 95SCh. 6.7 - Prob. 96SCh. 6.7 - Prob. 97SCh. 6.7 - Prob. 98SCh. 6.7 - Prob. 1ECh. 6.7 - Prob. 2ECh. 6.7 - Prob. 3ECh. 6.7 - Prob. 4ECh. 6.7 - Prob. 5ECh. 6.7 - Prob. 6ECh. 6.7 - Prob. 7ECh. 6.7 - Prob. 8ECh. 6.7 - Prob. 9ECh. 6.7 - Prob. 10ECh. 6 - Prob. 1QCCh. 6 - Prob. 2QCCh. 6 - Prob. 3QCCh. 6 - Prob. 4QCCh. 6 - Prob. 5QCCh. 6 - Prob. 6QCCh. 6 - Prob. 7QCCh. 6 - Prob. 8QCCh. 6 - Prob. 1SGRCh. 6 - Prob. 2SGRCh. 6 - Prob. 3SGRCh. 6 - Prob. 4SGRCh. 6 - Prob. 5SGRCh. 6 - Prob. 6SGRCh. 6 - Prob. 7SGRCh. 6 - Prob. 8SGRCh. 6 - Prob. 9SGRCh. 6 - Prob. 10SGRCh. 6 - Prob. 11SGRCh. 6 - Prob. 12SGRCh. 6 - Prob. 13SGRCh. 6 - Prob. 14SGRCh. 6 - Prob. 15SGRCh. 6 - Prob. 16SGRCh. 6 - Prob. 17SGRCh. 6 - Prob. 18SGRCh. 6 - Prob. 19SGRCh. 6 - Prob. 20SGRCh. 6 - Prob. 21SGRCh. 6 - Prob. 22SGRCh. 6 - Prob. 23SGRCh. 6 - Prob. 24SGRCh. 6 - Prob. 25SGRCh. 6 - Prob. 26SGRCh. 6 - Prob. 27SGRCh. 6 - Prob. 28SGRCh. 6 - Prob. 29SGRCh. 6 - Prob. 30SGRCh. 6 - Prob. 31SGRCh. 6 - Prob. 32SGRCh. 6 - Prob. 33SGRCh. 6 - Prob. 34SGRCh. 6 - Prob. 35SGRCh. 6 - Prob. 36SGRCh. 6 - Prob. 37SGRCh. 6 - Prob. 38SGRCh. 6 - Prob. 39SGRCh. 6 - Prob. 40SGRCh. 6 - Prob. 41SGRCh. 6 - Prob. 42SGRCh. 6 - Prob. 43SGRCh. 6 - Prob. 44SGRCh. 6 - Prob. 45SGRCh. 6 - Prob. 46SGRCh. 6 - Prob. 47SGRCh. 6 - Prob. 48SGRCh. 6 - Prob. 49SGRCh. 6 - Prob. 50SGRCh. 6 - Prob. 51SGRCh. 6 - Prob. 52SGRCh. 6 - Prob. 53SGRCh. 6 - Prob. 54SGRCh. 6 - Prob. 55SGRCh. 6 - Prob. 56SGRCh. 6 - Prob. 57SGRCh. 6 - Prob. 58SGRCh. 6 - Prob. 59SGRCh. 6 - Prob. 60SGRCh. 6 - Prob. 61SGRCh. 6 - Prob. 62SGRCh. 6 - Prob. 63SGRCh. 6 - Prob. 64SGRCh. 6 - Prob. 65SGRCh. 6 - Prob. 66SGRCh. 6 - Prob. 67SGRCh. 6 - Prob. 68SGRCh. 6 - Prob. 69SGRCh. 6 - Prob. 70SGRCh. 6 - Prob. 71SGRCh. 6 - Prob. 72SGRCh. 6 - Prob. 73SGRCh. 6 - Prob. 74SGRCh. 6 - Prob. 75SGRCh. 6 - Prob. 76SGRCh. 6 - Prob. 77SGRCh. 6 - Prob. 78SGRCh. 6 - Prob. 79SGRCh. 6 - Prob. 80SGRCh. 6 - Prob. 81SGRCh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 7PTCh. 6 - Prob. 8PTCh. 6 - Prob. 9PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 12PTCh. 6 - Prob. 13PTCh. 6 - Prob. 14PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 24PTCh. 6 - Prob. 25PTCh. 6 - Prob. 26PTCh. 6 - Prob. 27PTCh. 6 - Prob. 28PTCh. 6 - Prob. 29PTCh. 6 - Prob. 30PTCh. 6 - Prob. 31PTCh. 6 - Prob. 32PTCh. 6 - Prob. 33PTCh. 6 - Prob. 34PTCh. 6 - Prob. 35PTCh. 6 - Prob. 36PTCh. 6 - Prob. 37PTCh. 6 - Prob. 38PTCh. 6 - Prob. 39PTCh. 6 - Prob. 40PTCh. 6 - Prob. 1ECh. 6 - Prob. 2ECh. 6 - Prob. 3ECh. 6 - Prob. 1STPCh. 6 - Prob. 2STPCh. 6 - Prob. 3STPCh. 6 - Prob. 4STPCh. 6 - Prob. 5STPCh. 6 - Prob. 6STPCh. 6 - Prob. 7STPCh. 6 - Prob. 8STPCh. 6 - Prob. 9STPCh. 6 - Prob. 10STPCh. 6 - Prob. 11STPCh. 6 - Prob. 12STPCh. 6 - Prob. 13STPCh. 6 - Prob. 14STPCh. 6 - Prob. 15STP
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