High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
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Expert Solution & Answer
Chapter 5.8, Problem 4LC
Solution
To calculate : The model that best fits the given set of points.
The quartic model best fits the data.
Given information :
The set of points is: (−5,6)(−4,3),(0,2),(2,4) and (5,10) .
Formula used:
(n+1) Principle: For any set of n+1 points in the coordinate plane that pass the vertical line test, there is a unique polynomial of degree at most n that fits the point perfectly.
Calculation :
Here, the set of points in the data are 5 .
From the (n+1) principle, there is a unique polynomial of degree at most 4 that fits the points perfectly.
Hence, there is a quartic model that fits the data.
Let y=ax4+bx3+cx2+dx+e be the model that fits the data.
Substitute the points to get the system of equations.
Substitute (−5,6) .
y=ax4+bx3+cx2+dx+e6=a(−5)4+b(−5)3+c(−5)2+d(−5)+e6=625a−125b+25c−5d+e .............. (1)
Substitute (−4,3) .
y=ax4+bx3+cx2+dx+e3=a(−4)4+b(−4)3+c(−4)2+d(−4)+e3=256a−64b+16c−4d+e .............. (2)
Substitute (0,2) .
y=ax4+bx3+cx2+dx+e2=a(0)4+b(0)3+c(0)2+d(0)+e2=e .............. (3)
Substitute (2,4) .
y=ax4+bx3+cx2+dx+e4=a(2)4+b(2)3+c(2)2+d(2)+e4=16a+8b+4c+2d+e .............. (4)
Substitute (5,10) .
y=ax4+bx3+cx2+dx+e10=a(5)4+b(5)3+c(5)2+d(5)+e10=625a+125b+25c+5d+e .............. (5)
Write the system in the augmented matrix form:
[625−12525−516256−6416−4130000121684214625125255110]
Use calculator to solve the matrix.
From here, a=0.0047,b=−0.015,c=0.1202,d=0.7822,e=2 .
So, the model that fits the data will be:
y=0.0047x4−0.015x3+0.1202x2+0.7822x+2
Therefore, the quartic model best fits the data.
Chapter 5 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
Ch. 5.1 - Prob. 1LCCh. 5.1 - Prob. 2LCCh. 5.1 - Prob. 3LCCh. 5.1 - Prob. 4LCCh. 5.1 - Prob. 5LCCh. 5.1 - Prob. 6LCCh. 5.1 - Prob. 7LCCh. 5.1 - Prob. 8PPSECh. 5.1 - Prob. 9PPSECh. 5.1 - Prob. 10PPSE
Ch. 5.1 - Prob. 11PPSECh. 5.1 - Prob. 12PPSECh. 5.1 - Prob. 13PPSECh. 5.1 - Prob. 14PPSECh. 5.1 - Prob. 15PPSECh. 5.1 - Prob. 16PPSECh. 5.1 - Prob. 17PPSECh. 5.1 - Prob. 18PPSECh. 5.1 - Prob. 19PPSECh. 5.1 - Prob. 20PPSECh. 5.1 - Prob. 21PPSECh. 5.1 - Prob. 22PPSECh. 5.1 - Prob. 23PPSECh. 5.1 - Prob. 24PPSECh. 5.1 - Prob. 25PPSECh. 5.1 - Prob. 26PPSECh. 5.1 - Prob. 27PPSECh. 5.1 - Prob. 28PPSECh. 5.1 - Prob. 29PPSECh. 5.1 - Prob. 30PPSECh. 5.1 - Prob. 31PPSECh. 5.1 - Prob. 32PPSECh. 5.1 - Prob. 33PPSECh. 5.1 - Prob. 34PPSECh. 5.1 - Prob. 35PPSECh. 5.1 - Prob. 36PPSECh. 5.1 - Prob. 37PPSECh. 5.1 - Prob. 38PPSECh. 5.1 - Prob. 39PPSECh. 5.1 - Prob. 40PPSECh. 5.1 - Prob. 41PPSECh. 5.1 - Prob. 42PPSECh. 5.1 - Prob. 43PPSECh. 5.1 - Prob. 44PPSECh. 5.1 - Prob. 45PPSECh. 5.1 - Prob. 46PPSECh. 5.1 - Prob. 47PPSECh. 5.1 - Prob. 48PPSECh. 5.1 - Prob. 49PPSECh. 5.1 - Prob. 50PPSECh. 5.1 - Prob. 51PPSECh. 5.1 - Prob. 52PPSECh. 5.1 - Prob. 53PPSECh. 5.1 - Prob. 54PPSECh. 5.1 - Prob. 55PPSECh. 5.1 - Prob. 56PPSECh. 5.1 - Prob. 57PPSECh. 5.2 - Prob. 1LCCh. 5.2 - Prob. 2LCCh. 5.2 - Prob. 3LCCh. 5.2 - Prob. 4LCCh. 5.2 - Prob. 5LCCh. 5.2 - Prob. 6LCCh. 5.2 - Prob. 7PPSECh. 5.2 - Prob. 8PPSECh. 5.2 - Prob. 9PPSECh. 5.2 - Prob. 10PPSECh. 5.2 - Prob. 11PPSECh. 5.2 - Prob. 12PPSECh. 5.2 - Prob. 13PPSECh. 5.2 - Prob. 14PPSECh. 5.2 - Prob. 15PPSECh. 5.2 - Prob. 16PPSECh. 5.2 - Prob. 17PPSECh. 5.2 - Prob. 18PPSECh. 5.2 - Prob. 19PPSECh. 5.2 - Prob. 20PPSECh. 5.2 - Prob. 21PPSECh. 5.2 - Prob. 22PPSECh. 5.2 - Prob. 23PPSECh. 5.2 - Prob. 24PPSECh. 5.2 - Prob. 25PPSECh. 5.2 - Prob. 26PPSECh. 5.2 - Prob. 27PPSECh. 5.2 - Prob. 28PPSECh. 5.2 - Prob. 29PPSECh. 5.2 - Prob. 30PPSECh. 5.2 - Prob. 31PPSECh. 5.2 - Prob. 32PPSECh. 5.2 - Prob. 33PPSECh. 5.2 - Prob. 34PPSECh. 5.2 - Prob. 35PPSECh. 5.2 - Prob. 36PPSECh. 5.2 - Prob. 37PPSECh. 5.2 - Prob. 38PPSECh. 5.2 - Prob. 39PPSECh. 5.2 - Prob. 40PPSECh. 5.2 - Prob. 41PPSECh. 5.2 - Prob. 42PPSECh. 5.2 - Prob. 43PPSECh. 5.2 - Prob. 44PPSECh. 5.2 - Prob. 45PPSECh. 5.2 - 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Prob. 37PPSECh. 5.3 - Prob. 38PPSECh. 5.3 - Prob. 39PPSECh. 5.3 - Prob. 40PPSECh. 5.3 - Prob. 41PPSECh. 5.3 - Prob. 42PPSECh. 5.3 - Prob. 43PPSECh. 5.3 - Prob. 44PPSECh. 5.3 - Prob. 45PPSECh. 5.3 - Prob. 46PPSECh. 5.3 - Prob. 47PPSECh. 5.3 - Prob. 48PPSECh. 5.3 - Prob. 49PPSECh. 5.3 - Prob. 50PPSECh. 5.3 - Prob. 51PPSECh. 5.3 - Prob. 52PPSECh. 5.3 - Prob. 53PPSECh. 5.3 - Prob. 54PPSECh. 5.3 - Prob. 55PPSECh. 5.3 - Prob. 56PPSECh. 5.3 - Prob. 57PPSECh. 5.3 - Prob. 58PPSECh. 5.3 - Prob. 59PPSECh. 5.3 - Prob. 60PPSECh. 5.3 - Prob. 61PPSECh. 5.3 - Prob. 62PPSECh. 5.3 - Prob. 63PPSECh. 5.3 - Prob. 64PPSECh. 5.3 - Prob. 65PPSECh. 5.3 - Prob. 66PPSECh. 5.3 - Prob. 67PPSECh. 5.3 - Prob. 68PPSECh. 5.3 - Prob. 69PPSECh. 5.3 - Prob. 70PPSECh. 5.3 - Prob. 71PPSECh. 5.3 - Prob. 72PPSECh. 5.4 - Prob. 1LCCh. 5.4 - Prob. 2LCCh. 5.4 - Prob. 3LCCh. 5.4 - Prob. 4LCCh. 5.4 - Prob. 5LCCh. 5.4 - Prob. 6LCCh. 5.4 - Prob. 7LCCh. 5.4 - Prob. 8LCCh. 5.4 - Prob. 9PPSECh. 5.4 - Prob. 10PPSECh. 5.4 - Prob. 11PPSECh. 5.4 - Prob. 12PPSECh. 5.4 - Prob. 13PPSECh. 5.4 - Prob. 14PPSECh. 5.4 - Prob. 15PPSECh. 5.4 - Prob. 16PPSECh. 5.4 - Prob. 17PPSECh. 5.4 - Prob. 18PPSECh. 5.4 - Prob. 19PPSECh. 5.4 - Prob. 20PPSECh. 5.4 - Prob. 21PPSECh. 5.4 - Prob. 22PPSECh. 5.4 - Prob. 23PPSECh. 5.4 - Prob. 24PPSECh. 5.4 - Prob. 25PPSECh. 5.4 - Prob. 26PPSECh. 5.4 - Prob. 27PPSECh. 5.4 - Prob. 28PPSECh. 5.4 - Prob. 29PPSECh. 5.4 - Prob. 30PPSECh. 5.4 - Prob. 31PPSECh. 5.4 - Prob. 32PPSECh. 5.4 - Prob. 33PPSECh. 5.4 - Prob. 34PPSECh. 5.4 - Prob. 35PPSECh. 5.4 - Prob. 36PPSECh. 5.4 - Prob. 37PPSECh. 5.4 - Prob. 38PPSECh. 5.4 - Prob. 39PPSECh. 5.4 - Prob. 40PPSECh. 5.4 - Prob. 41PPSECh. 5.4 - Prob. 42PPSECh. 5.4 - Prob. 43PPSECh. 5.4 - Prob. 44PPSECh. 5.4 - Prob. 45PPSECh. 5.4 - Prob. 46PPSECh. 5.4 - Prob. 47PPSECh. 5.4 - Prob. 48PPSECh. 5.4 - Prob. 49PPSECh. 5.4 - Prob. 50PPSECh. 5.4 - Prob. 51PPSECh. 5.4 - Prob. 52PPSECh. 5.4 - Prob. 53PPSECh. 5.4 - Prob. 54PPSECh. 5.4 - Prob. 55PPSECh. 5.4 - Prob. 56PPSECh. 5.4 - Prob. 57PPSECh. 5.4 - Prob. 58PPSECh. 5.4 - Prob. 59PPSECh. 5.4 - Prob. 60PPSECh. 5.4 - Prob. 61PPSECh. 5.4 - Prob. 62PPSECh. 5.4 - Prob. 63PPSECh. 5.4 - Prob. 64PPSECh. 5.4 - Prob. 65PPSECh. 5.4 - Prob. 66PPSECh. 5.4 - Prob. 67PPSECh. 5.4 - Prob. 68PPSECh. 5.4 - Prob. 69PPSECh. 5.4 - Prob. 70PPSECh. 5.4 - Prob. 71PPSECh. 5.4 - Prob. 72PPSECh. 5.4 - Prob. 73PPSECh. 5.4 - Prob. 74PPSECh. 5.4 - Prob. 75PPSECh. 5.4 - Prob. 76PPSECh. 5.4 - Prob. 77PPSECh. 5.4 - Prob. 78PPSECh. 5.4 - Prob. 79PPSECh. 5.4 - Prob. 80PPSECh. 5.4 - Prob. 81PPSECh. 5.4 - Prob. 82PPSECh. 5.4 - Prob. 83PPSECh. 5.4 - Prob. 84PPSECh. 5.4 - Prob. 85PPSECh. 5.5 - Prob. 1LCCh. 5.5 - Prob. 2LCCh. 5.5 - Prob. 3LCCh. 5.5 - Prob. 4LCCh. 5.5 - Prob. 5LCCh. 5.5 - Prob. 6LCCh. 5.5 - Prob. 7LCCh. 5.5 - Prob. 8LCCh. 5.5 - Prob. 9PPSECh. 5.5 - Prob. 10PPSECh. 5.5 - Prob. 11PPSECh. 5.5 - Prob. 12PPSECh. 5.5 - Prob. 13PPSECh. 5.5 - Prob. 14PPSECh. 5.5 - Prob. 15PPSECh. 5.5 - Prob. 16PPSECh. 5.5 - Prob. 17PPSECh. 5.5 - Prob. 18PPSECh. 5.5 - Prob. 19PPSECh. 5.5 - Prob. 20PPSECh. 5.5 - Prob. 21PPSECh. 5.5 - Prob. 22PPSECh. 5.5 - Prob. 23PPSECh. 5.5 - Prob. 24PPSECh. 5.5 - Prob. 25PPSECh. 5.5 - Prob. 26PPSECh. 5.5 - Prob. 27PPSECh. 5.5 - Prob. 28PPSECh. 5.5 - Prob. 29PPSECh. 5.5 - Prob. 30PPSECh. 5.5 - Prob. 31PPSECh. 5.5 - Prob. 32PPSECh. 5.5 - Prob. 33PPSECh. 5.5 - Prob. 34PPSECh. 5.5 - Prob. 35PPSECh. 5.5 - Prob. 36PPSECh. 5.5 - Prob. 37PPSECh. 5.5 - Prob. 38PPSECh. 5.5 - Prob. 39PPSECh. 5.5 - Prob. 40PPSECh. 5.5 - Prob. 41PPSECh. 5.5 - Prob. 42PPSECh. 5.5 - Prob. 43PPSECh. 5.5 - Prob. 44PPSECh. 5.5 - Prob. 45PPSECh. 5.5 - Prob. 46PPSECh. 5.5 - Prob. 47PPSECh. 5.5 - Prob. 48PPSECh. 5.5 - Prob. 49PPSECh. 5.5 - Prob. 1ECh. 5.5 - Prob. 2ECh. 5.5 - Prob. 3ECh. 5.5 - Prob. 4ECh. 5.5 - Prob. 5ECh. 5.6 - Prob. 1LCCh. 5.6 - Prob. 2LCCh. 5.6 - Prob. 3LCCh. 5.6 - Prob. 4LCCh. 5.6 - Prob. 5LCCh. 5.6 - Prob. 6LCCh. 5.6 - Prob. 7LCCh. 5.6 - Prob. 8PPSECh. 5.6 - Prob. 9PPSECh. 5.6 - Prob. 10PPSECh. 5.6 - Prob. 11PPSECh. 5.6 - Prob. 12PPSECh. 5.6 - Prob. 13PPSECh. 5.6 - Prob. 14PPSECh. 5.6 - Prob. 15PPSECh. 5.6 - Prob. 16PPSECh. 5.6 - Prob. 17PPSECh. 5.6 - Prob. 18PPSECh. 5.6 - Prob. 19PPSECh. 5.6 - Prob. 20PPSECh. 5.6 - Prob. 21PPSECh. 5.6 - Prob. 22PPSECh. 5.6 - Prob. 23PPSECh. 5.6 - Prob. 24PPSECh. 5.6 - Prob. 25PPSECh. 5.6 - Prob. 26PPSECh. 5.6 - Prob. 27PPSECh. 5.6 - Prob. 28PPSECh. 5.6 - Prob. 29PPSECh. 5.6 - Prob. 30PPSECh. 5.6 - Prob. 31PPSECh. 5.6 - Prob. 32PPSECh. 5.6 - Prob. 33PPSECh. 5.6 - Prob. 34PPSECh. 5.6 - Prob. 35PPSECh. 5.6 - Prob. 36PPSECh. 5.6 - Prob. 37PPSECh. 5.6 - Prob. 38PPSECh. 5.6 - Prob. 39PPSECh. 5.6 - Prob. 40PPSECh. 5.6 - Prob. 41PPSECh. 5.6 - Prob. 42PPSECh. 5.6 - Prob. 43PPSECh. 5.6 - Prob. 44PPSECh. 5.6 - Prob. 45PPSECh. 5.6 - Prob. 46PPSECh. 5.6 - Prob. 47PPSECh. 5.6 - Prob. 48PPSECh. 5.6 - Prob. 49PPSECh. 5.6 - Prob. 50PPSECh. 5.6 - Prob. 51PPSECh. 5.6 - Prob. 52PPSECh. 5.6 - Prob. 53PPSECh. 5.6 - Prob. 54PPSECh. 5.6 - Prob. 55PPSECh. 5.6 - Prob. 56PPSECh. 5.6 - Prob. 57PPSECh. 5.6 - Prob. 58PPSECh. 5.6 - Prob. 59PPSECh. 5.6 - Prob. 60PPSECh. 5.6 - Prob. 61PPSECh. 5.6 - Prob. 62PPSECh. 5.6 - Prob. 63PPSECh. 5.6 - Prob. 64PPSECh. 5.6 - Prob. 65PPSECh. 5.6 - Prob. 1ECh. 5.6 - Prob. 2ECh. 5.6 - Prob. 3ECh. 5.6 - Prob. 4ECh. 5.6 - Prob. 5ECh. 5.6 - Prob. 6ECh. 5.7 - Prob. 1LCCh. 5.7 - Prob. 2LCCh. 5.7 - Prob. 3LCCh. 5.7 - Prob. 4LCCh. 5.7 - Prob. 5LCCh. 5.7 - Prob. 6LCCh. 5.7 - Prob. 7LCCh. 5.7 - Prob. 8PPSECh. 5.7 - Prob. 9PPSECh. 5.7 - Prob. 10PPSECh. 5.7 - Prob. 11PPSECh. 5.7 - Prob. 12PPSECh. 5.7 - Prob. 13PPSECh. 5.7 - Prob. 14PPSECh. 5.7 - Prob. 15PPSECh. 5.7 - Prob. 16PPSECh. 5.7 - Prob. 17PPSECh. 5.7 - Prob. 18PPSECh. 5.7 - Prob. 19PPSECh. 5.7 - Prob. 20PPSECh. 5.7 - Prob. 21PPSECh. 5.7 - Prob. 22PPSECh. 5.7 - Prob. 23PPSECh. 5.7 - Prob. 24PPSECh. 5.7 - Prob. 25PPSECh. 5.7 - Prob. 26PPSECh. 5.7 - Prob. 27PPSECh. 5.7 - Prob. 28PPSECh. 5.7 - Prob. 29PPSECh. 5.7 - Prob. 30PPSECh. 5.7 - Prob. 31PPSECh. 5.7 - Prob. 32PPSECh. 5.7 - Prob. 33PPSECh. 5.7 - Prob. 34PPSECh. 5.7 - Prob. 35PPSECh. 5.7 - Prob. 36PPSECh. 5.7 - Prob. 37PPSECh. 5.7 - Prob. 38PPSECh. 5.7 - Prob. 39PPSECh. 5.7 - Prob. 40PPSECh. 5.7 - Prob. 41PPSECh. 5.7 - Prob. 42PPSECh. 5.7 - Prob. 43PPSECh. 5.7 - Prob. 44PPSECh. 5.7 - Prob. 45PPSECh. 5.7 - Prob. 46PPSECh. 5.7 - Prob. 47PPSECh. 5.7 - Prob. 48PPSECh. 5.7 - Prob. 49PPSECh. 5.7 - Prob. 50PPSECh. 5.7 - Prob. 51PPSECh. 5.7 - Prob. 52PPSECh. 5.7 - Prob. 53PPSECh. 5.7 - Prob. 54PPSECh. 5.7 - Prob. 55PPSECh. 5.7 - Prob. 56PPSECh. 5.7 - Prob. 57PPSECh. 5.7 - Prob. 58PPSECh. 5.7 - Prob. 59PPSECh. 5.7 - Prob. 60PPSECh. 5.7 - Prob. 61PPSECh. 5.7 - Prob. 62PPSECh. 5.7 - Prob. 63PPSECh. 5.7 - Prob. 64PPSECh. 5.7 - Prob. 65PPSECh. 5.7 - Prob. 66PPSECh. 5.7 - Prob. 67PPSECh. 5.7 - Prob. 68PPSECh. 5.8 - Prob. 1LCCh. 5.8 - Prob. 2LCCh. 5.8 - Prob. 3LCCh. 5.8 - Prob. 4LCCh. 5.8 - Prob. 5LCCh. 5.8 - Prob. 6LCCh. 5.8 - Prob. 7LCCh. 5.8 - Prob. 8PPSECh. 5.8 - Prob. 9PPSECh. 5.8 - Prob. 10PPSECh. 5.8 - Prob. 11PPSECh. 5.8 - Prob. 12PPSECh. 5.8 - Prob. 13PPSECh. 5.8 - Prob. 14PPSECh. 5.8 - Prob. 15PPSECh. 5.8 - Prob. 16PPSECh. 5.8 - Prob. 17PPSECh. 5.8 - Prob. 18PPSECh. 5.8 - Prob. 19PPSECh. 5.8 - Prob. 20PPSECh. 5.8 - Prob. 21PPSECh. 5.8 - Prob. 22PPSECh. 5.8 - Prob. 23PPSECh. 5.8 - Prob. 24PPSECh. 5.8 - Prob. 25PPSECh. 5.8 - Prob. 26PPSECh. 5.8 - Prob. 27PPSECh. 5.8 - Prob. 28PPSECh. 5.8 - Prob. 29PPSECh. 5.8 - Prob. 30PPSECh. 5.8 - Prob. 31PPSECh. 5.8 - Prob. 32PPSECh. 5.8 - Prob. 33PPSECh. 5.8 - Prob. 34PPSECh. 5.8 - Prob. 35PPSECh. 5.8 - Prob. 36PPSECh. 5.8 - Prob. 37PPSECh. 5.8 - Prob. 38PPSECh. 5.8 - Prob. 39PPSECh. 5.8 - Prob. 40PPSECh. 5.8 - Prob. 41PPSECh. 5.8 - Prob. 42PPSECh. 5.8 - Prob. 43PPSECh. 5.8 - Prob. 44PPSECh. 5.8 - Prob. 45PPSECh. 5.8 - Prob. 46PPSECh. 5.8 - Prob. 47PPSECh. 5.8 - Prob. 48PPSECh. 5.8 - Prob. 49PPSECh. 5.8 - Prob. 50PPSECh. 5.8 - Prob. 51PPSECh. 5.8 - Prob. 52PPSECh. 5.8 - Prob. 53PPSECh. 5.8 - Prob. 54PPSECh. 5.8 - Prob. 55PPSECh. 5.8 - Prob. 56PPSECh. 5.8 - Prob. 57PPSECh. 5.8 - Prob. 58PPSECh. 5.9 - Prob. 1LCCh. 5.9 - Prob. 2LCCh. 5.9 - Prob. 3LCCh. 5.9 - 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Prob. 50PPSECh. 5.9 - Prob. 51PPSECh. 5.9 - Prob. 52PPSECh. 5.9 - Prob. 53PPSECh. 5.9 - Prob. 54PPSECh. 5.9 - Prob. 55PPSECh. 5.9 - Prob. 56PPSECh. 5 - Prob. 1GRCh. 5 - Prob. 2GRCh. 5 - Prob. 3GRCh. 5 - Prob. 4GRCh. 5 - Prob. 5GRCh. 5 - Prob. 6GRCh. 5 - Prob. 7GRCh. 5 - Prob. 8GRCh. 5 - Prob. 9GRCh. 5 - Prob. 10GRCh. 5 - Prob. 11GRCh. 5 - Prob. 12GRCh. 5 - Prob. 13GRCh. 5 - Prob. 14GRCh. 5 - Prob. 15GRCh. 5 - Prob. 16GRCh. 5 - Prob. 17GRCh. 5 - Prob. 18GRCh. 5 - Prob. 1MCQCh. 5 - Prob. 2MCQCh. 5 - Prob. 3MCQCh. 5 - Prob. 4MCQCh. 5 - Prob. 5MCQCh. 5 - Prob. 6MCQCh. 5 - Prob. 7MCQCh. 5 - Prob. 8MCQCh. 5 - Prob. 9MCQCh. 5 - Prob. 10MCQCh. 5 - Prob. 11MCQCh. 5 - Prob. 12MCQCh. 5 - Prob. 13MCQCh. 5 - Prob. 14MCQCh. 5 - Prob. 15MCQCh. 5 - Prob. 16MCQCh. 5 - Prob. 17MCQCh. 5 - Prob. 18MCQCh. 5 - Prob. 19MCQCh. 5 - Prob. 1CVCh. 5 - Prob. 2CVCh. 5 - Prob. 3CVCh. 5 - Prob. 4CVCh. 5 - Prob. 5ECh. 5 - Prob. 6ECh. 5 - Prob. 7ECh. 5 - Prob. 8ECh. 5 - Prob. 9ECh. 5 - Prob. 10ECh. 5 - Prob. 11ECh. 5 - Prob. 12ECh. 5 - Prob. 13ECh. 5 - Prob. 14ECh. 5 - Prob. 15ECh. 5 - Prob. 16ECh. 5 - Prob. 17ECh. 5 - Prob. 18ECh. 5 - Prob. 19ECh. 5 - Prob. 20ECh. 5 - Prob. 21ECh. 5 - Prob. 22ECh. 5 - Prob. 23ECh. 5 - Prob. 24ECh. 5 - Prob. 25ECh. 5 - Prob. 26ECh. 5 - Prob. 27ECh. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Prob. 30ECh. 5 - Prob. 31ECh. 5 - Prob. 32ECh. 5 - Prob. 33ECh. 5 - Prob. 34ECh. 5 - Prob. 35ECh. 5 - Prob. 36ECh. 5 - Prob. 37ECh. 5 - Prob. 38ECh. 5 - Prob. 39ECh. 5 - Prob. 40ECh. 5 - Prob. 41ECh. 5 - Prob. 42ECh. 5 - Prob. 43ECh. 5 - Prob. 44ECh. 5 - Prob. 45ECh. 5 - Prob. 46ECh. 5 - Prob. 47ECh. 5 - Prob. 48ECh. 5 - Prob. 49ECh. 5 - Prob. 50ECh. 5 - Prob. 51ECh. 5 - Prob. 52ECh. 5 - Prob. 53ECh. 5 - Prob. 54ECh. 5 - Prob. 55ECh. 5 - Prob. 56ECh. 5 - Prob. 57ECh. 5 - Prob. 58ECh. 5 - Prob. 59ECh. 5 - Prob. 60ECh. 5 - Prob. 61ECh. 5 - Prob. 62ECh. 5 - Prob. 63ECh. 5 - Prob. 64ECh. 5 - Prob. 65ECh. 5 - Prob. 66ECh. 5 - Prob. 67ECh. 5 - Prob. 68ECh. 5 - Prob. 69ECh. 5 - Prob. 70ECh. 5 - Prob. 71ECh. 5 - Prob. 72ECh. 5 - Prob. 73ECh. 5 - Prob. 74ECh. 5 - Prob. 75ECh. 5 - Prob. 76ECh. 5 - Prob. 77ECh. 5 - Prob. 78ECh. 5 - Prob. 79ECh. 5 - Prob. 80ECh. 5 - Prob. 81ECh. 5 - Prob. 82ECh. 5 - Prob. 83ECh. 5 - Prob. 84ECh. 5 - Prob. 85ECh. 5 - Prob. 86ECh. 5 - Prob. 87ECh. 5 - Prob. 88ECh. 5 - Prob. 1CTCh. 5 - Prob. 2CTCh. 5 - Prob. 3CTCh. 5 - Prob. 4CTCh. 5 - Prob. 5CTCh. 5 - Prob. 6CTCh. 5 - Prob. 7CTCh. 5 - Prob. 8CTCh. 5 - Prob. 9CTCh. 5 - Prob. 10CTCh. 5 - Prob. 11CTCh. 5 - Prob. 12CTCh. 5 - Prob. 13CTCh. 5 - Prob. 14CTCh. 5 - Prob. 15CTCh. 5 - Prob. 16CTCh. 5 - Prob. 17CTCh. 5 - Prob. 18CTCh. 5 - Prob. 19CTCh. 5 - Prob. 20CTCh. 5 - Prob. 21CTCh. 5 - Prob. 22CTCh. 5 - Prob. 23CTCh. 5 - Prob. 1CCSRCh. 5 - Prob. 2CCSRCh. 5 - Prob. 3CCSRCh. 5 - Prob. 4CCSRCh. 5 - Prob. 5CCSRCh. 5 - Prob. 6CCSRCh. 5 - Prob. 7CCSRCh. 5 - Prob. 8CCSRCh. 5 - Prob. 9CCSRCh. 5 - Prob. 10CCSRCh. 5 - Prob. 11CCSRCh. 5 - Prob. 12CCSRCh. 5 - Prob. 13CCSRCh. 5 - Prob. 14CCSRCh. 5 - Prob. 15CCSRCh. 5 - Prob. 16CCSRCh. 5 - Prob. 17CCSRCh. 5 - Prob. 18CCSRCh. 5 - Prob. 19CCSRCh. 5 - Prob. 20CCSRCh. 5 - Prob. 21CCSRCh. 5 - Prob. 22CCSRCh. 5 - Prob. 23CCSR
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