CALCULUS (CLOTH)
CALCULUS (CLOTH)
4th Edition
ISBN: 9781319050733
Author: Rogawski
Publisher: MAC HIGHER
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Question
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Chapter 11, Problem 1CRE
To determine

a)

The first three terms of the sequence having the nth term is given by an2.

Expert Solution
Check Mark

Answer to Problem 1CRE

Solution:

The first three terms of an2 is given by

a12=41!=3a22=14a32=0

Explanation of Solution

Given:

an=n3n!

Calculation:

Here, we have

an=n3n!an2=(n3n!)2

The first three terms of an2 is given by

a12=(131!)2=41!a22=(232!)2=1(2!)(2!)=14a32=(333!)2=0

Conclusion:

The first three terms of the sequence is given by

a12=41!=3a22=14a32=0

To determine

b)

The first three terms of the sequence having the nth term is given by bn.

Expert Solution
Check Mark

Answer to Problem 1CRE

Solution:

The first three terms of the sequence is given by

b1=14!b2=25!b3=36!

Explanation of Solution

Given:

bn=an+3, where an=n3n!

Calculation:

Here, we have

an=n3n!bn=an+3=(n+33(n+3)!)=n(n+3)!

The first three terms of bn=an+3 is given by

b1=1(1+3)!=14!b2=2(2+3)!=25!b3=3(3+3)!=36!

Conclusion:

The first three terms of the sequence is given by

b1=14!b2=25!b3=36!

To determine

c)

The first three terms of the sequence having the nth term is given by anbn.

Expert Solution
Check Mark

Answer to Problem 1CRE

Solution:

The first three terms of the sequence is given by

t1=112t2=1120t3=0

Explanation of Solution

Given:

tn=anbn, where an=n3n! and bn=an+3

Calculation:

Here, we have

an=n3n!tn=anbn=(n3n!)(n+33(n+3)!)=n3n!n(n+3)!

The first three terms of tn=anbn=n3n!n(n+3)! is given by

t1=131!1(1+3)!=24!=224=112t2=232!2(2+3)!=2(2!)(5!)=2240=1120t3=0

Conclusion:

The first three terms of the sequence is given by

t1=112t2=1120t3=0

To determine

d)

The first three terms of the sequence having the nth term is given by 2an+13an.

Expert Solution
Check Mark

Answer to Problem 1CRE

Solution:

The first three terms of the sequence is given by

t1=5t2=32t3=112

Explanation of Solution

Given:

tn=2an+13an, where an=n3n!

Calculation:

Here, we have

an=n3n!tn=2an+13an=2(n+13(n+1)!)3(n3n!)=2(n2(n+1)n!)3(n3n!)=(2n4)3(n3)(n+1)(n+1)n!=(2n4)3(n22n3)(n+1)!tn=2an+13an=3n2+8n+5(n+1)!

The first three terms of tn=2an+13an=3n2+8n+5(n+1)! is given by

t1=3(1)2+8(1)+5(1+1)!=102!=5t2=3(2)2+8(2)+5(2+1)!=93!=32t3=3(3)2+8(3)+5(3+1)!=24!=112

Conclusion:

The first three terms of the sequence is given by

t1=5t2=32t3=112

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Chapter 11 Solutions

CALCULUS (CLOTH)

Ch. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - Prob. 8ECh. 11.1 - Prob. 9ECh. 11.1 - Prob. 10ECh. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - Prob. 17ECh. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Prob. 28ECh. 11.1 - Prob. 29ECh. 11.1 - Prob. 30ECh. 11.1 - Prob. 31ECh. 11.1 - Prob. 32ECh. 11.1 - Prob. 33ECh. 11.1 - Prob. 34ECh. 11.1 - Prob. 35ECh. 11.1 - Prob. 36ECh. 11.1 - Prob. 37ECh. 11.1 - Prob. 38ECh. 11.1 - Prob. 39ECh. 11.1 - Prob. 40ECh. 11.1 - Prob. 41ECh. 11.1 - Prob. 42ECh. 11.1 - Prob. 43ECh. 11.1 - Prob. 44ECh. 11.1 - Prob. 45ECh. 11.1 - Prob. 46ECh. 11.1 - Prob. 47ECh. 11.1 - Prob. 48ECh. 11.1 - Prob. 49ECh. 11.1 - Prob. 50ECh. 11.1 - Prob. 51ECh. 11.1 - Prob. 52ECh. 11.1 - Prob. 53ECh. 11.1 - Prob. 54ECh. 11.1 - Prob. 55ECh. 11.1 - Prob. 56ECh. 11.1 - Prob. 57ECh. 11.1 - Prob. 58ECh. 11.1 - Prob. 59ECh. 11.1 - Prob. 60ECh. 11.1 - Prob. 61ECh. 11.1 - Prob. 62ECh. 11.1 - Prob. 63ECh. 11.1 - Prob. 64ECh. 11.1 - Prob. 65ECh. 11.1 - Prob. 66ECh. 11.1 - Prob. 67ECh. 11.1 - Prob. 68ECh. 11.1 - Prob. 69ECh. 11.1 - Prob. 70ECh. 11.1 - Prob. 71ECh. 11.1 - Prob. 72ECh. 11.1 - Prob. 73ECh. 11.1 - Prob. 74ECh. 11.1 - Prob. 75ECh. 11.1 - Prob. 76ECh. 11.1 - Prob. 77ECh. 11.1 - Prob. 78ECh. 11.1 - Prob. 79ECh. 11.1 - Prob. 80ECh. 11.1 - Prob. 81ECh. 11.1 - Prob. 82ECh. 11.1 - Prob. 83ECh. 11.1 - Prob. 84ECh. 11.1 - Prob. 85ECh. 11.1 - Prob. 86ECh. 11.1 - Prob. 87ECh. 11.1 - Prob. 88ECh. 11.1 - Prob. 89ECh. 11.1 - Prob. 90ECh. 11.1 - Prob. 91ECh. 11.1 - Prob. 92ECh. 11.1 - Prob. 93ECh. 11.2 - Prob. 1PQCh. 11.2 - Prob. 2PQCh. 11.2 - Prob. 3PQCh. 11.2 - Prob. 4PQCh. 11.2 - Prob. 5PQCh. 11.2 - Prob. 6PQCh. 11.2 - Prob. 7PQCh. 11.2 - Prob. 8PQCh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Prob. 9ECh. 11.2 - Prob. 10ECh. 11.2 - Prob. 11ECh. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.2 - Prob. 27ECh. 11.2 - Prob. 28ECh. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - Prob. 36ECh. 11.2 - Prob. 37ECh. 11.2 - Prob. 38ECh. 11.2 - Prob. 39ECh. 11.2 - Prob. 40ECh. 11.2 - Prob. 41ECh. 11.2 - Prob. 42ECh. 11.2 - Prob. 43ECh. 11.2 - Prob. 44ECh. 11.2 - Prob. 45ECh. 11.2 - Prob. 46ECh. 11.2 - Prob. 47ECh. 11.2 - Prob. 48ECh. 11.2 - Prob. 49ECh. 11.2 - Prob. 50ECh. 11.2 - Prob. 51ECh. 11.2 - Prob. 52ECh. 11.2 - Prob. 53ECh. 11.2 - Prob. 54ECh. 11.2 - Prob. 55ECh. 11.2 - Prob. 56ECh. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - Prob. 59ECh. 11.2 - Prob. 60ECh. 11.2 - Prob. 61ECh. 11.2 - Prob. 62ECh. 11.2 - Prob. 63ECh. 11.2 - Prob. 64ECh. 11.2 - Prob. 65ECh. 11.2 - Prob. 66ECh. 11.2 - Prob. 67ECh. 11.2 - Prob. 68ECh. 11.2 - Prob. 69ECh. 11.2 - Prob. 70ECh. 11.2 - Prob. 71ECh. 11.3 - Prob. 1PQCh. 11.3 - Prob. 2PQCh. 11.3 - Prob. 3PQCh. 11.3 - Prob. 4PQCh. 11.3 - Prob. 5PQCh. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - Prob. 11ECh. 11.3 - Prob. 12ECh. 11.3 - Prob. 13ECh. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - Prob. 16ECh. 11.3 - Prob. 17ECh. 11.3 - Prob. 18ECh. 11.3 - Prob. 19ECh. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Prob. 22ECh. 11.3 - Prob. 23ECh. 11.3 - Prob. 24ECh. 11.3 - Prob. 25ECh. 11.3 - Prob. 26ECh. 11.3 - Prob. 27ECh. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Prob. 31ECh. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - Prob. 34ECh. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.3 - Prob. 38ECh. 11.3 - Prob. 39ECh. 11.3 - Prob. 40ECh. 11.3 - Prob. 41ECh. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - Prob. 45ECh. 11.3 - Prob. 46ECh. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - Prob. 52ECh. 11.3 - Prob. 53ECh. 11.3 - Prob. 54ECh. 11.3 - Prob. 55ECh. 11.3 - Prob. 56ECh. 11.3 - Prob. 57ECh. 11.3 - Prob. 58ECh. 11.3 - Prob. 59ECh. 11.3 - Prob. 60ECh. 11.3 - Prob. 61ECh. 11.3 - Prob. 62ECh. 11.3 - Prob. 63ECh. 11.3 - Prob. 64ECh. 11.3 - Prob. 65ECh. 11.3 - Prob. 66ECh. 11.3 - Prob. 67ECh. 11.3 - Prob. 68ECh. 11.3 - Prob. 69ECh. 11.3 - Prob. 70ECh. 11.3 - Prob. 71ECh. 11.3 - Prob. 72ECh. 11.3 - Prob. 73ECh. 11.3 - Prob. 74ECh. 11.3 - Prob. 75ECh. 11.3 - Prob. 76ECh. 11.3 - Prob. 77ECh. 11.3 - Prob. 78ECh. 11.3 - Prob. 79ECh. 11.3 - Prob. 80ECh. 11.3 - Prob. 81ECh. 11.3 - Prob. 82ECh. 11.3 - Prob. 83ECh. 11.3 - Prob. 84ECh. 11.3 - Prob. 85ECh. 11.3 - Prob. 86ECh. 11.3 - Prob. 87ECh. 11.3 - Prob. 88ECh. 11.3 - Prob. 89ECh. 11.3 - Prob. 90ECh. 11.3 - Prob. 91ECh. 11.3 - Prob. 92ECh. 11.4 - Prob. 1PQCh. 11.4 - Prob. 2PQCh. 11.4 - Prob. 3PQCh. 11.4 - Prob. 4PQCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.4 - Prob. 15ECh. 11.4 - Prob. 16ECh. 11.4 - Prob. 17ECh. 11.4 - Prob. 18ECh. 11.4 - Prob. 19ECh. 11.4 - Prob. 20ECh. 11.4 - Prob. 21ECh. 11.4 - Prob. 22ECh. 11.4 - Prob. 23ECh. 11.4 - Prob. 24ECh. 11.4 - Prob. 25ECh. 11.4 - Prob. 26ECh. 11.4 - Prob. 27ECh. 11.4 - Prob. 28ECh. 11.4 - Prob. 29ECh. 11.4 - Prob. 30ECh. 11.4 - Prob. 31ECh. 11.4 - Prob. 32ECh. 11.4 - Prob. 33ECh. 11.4 - Prob. 34ECh. 11.4 - Prob. 35ECh. 11.4 - Prob. 36ECh. 11.4 - Prob. 37ECh. 11.4 - Prob. 38ECh. 11.4 - Prob. 39ECh. 11.4 - Prob. 40ECh. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - Prob. 44ECh. 11.5 - Prob. 1PQCh. 11.5 - Prob. 2PQCh. 11.5 - Prob. 3PQCh. 11.5 - Prob. 4PQCh. 11.5 - Prob. 1ECh. 11.5 - Prob. 2ECh. 11.5 - Prob. 3ECh. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Prob. 23ECh. 11.5 - Prob. 24ECh. 11.5 - Prob. 25ECh. 11.5 - Prob. 26ECh. 11.5 - Prob. 27ECh. 11.5 - Prob. 28ECh. 11.5 - Prob. 29ECh. 11.5 - Prob. 30ECh. 11.5 - Prob. 31ECh. 11.5 - Prob. 32ECh. 11.5 - Prob. 33ECh. 11.5 - Prob. 34ECh. 11.5 - Prob. 35ECh. 11.5 - Prob. 36ECh. 11.5 - Prob. 37ECh. 11.5 - Prob. 38ECh. 11.5 - Prob. 39ECh. 11.5 - Prob. 40ECh. 11.5 - Prob. 41ECh. 11.5 - Prob. 42ECh. 11.5 - Prob. 43ECh. 11.5 - Prob. 44ECh. 11.5 - Prob. 45ECh. 11.5 - Prob. 46ECh. 11.5 - Prob. 47ECh. 11.5 - Prob. 48ECh. 11.5 - Prob. 49ECh. 11.5 - Prob. 50ECh. 11.5 - Prob. 51ECh. 11.5 - Prob. 52ECh. 11.5 - Prob. 53ECh. 11.5 - Prob. 54ECh. 11.5 - Prob. 55ECh. 11.5 - Prob. 56ECh. 11.5 - Prob. 57ECh. 11.5 - Prob. 58ECh. 11.5 - Prob. 59ECh. 11.5 - Prob. 60ECh. 11.5 - Prob. 61ECh. 11.5 - Prob. 62ECh. 11.5 - Prob. 63ECh. 11.5 - Prob. 64ECh. 11.5 - Prob. 65ECh. 11.6 - Prob. 1PQCh. 11.6 - Prob. 2PQCh. 11.6 - Prob. 3PQCh. 11.6 - Prob. 4PQCh. 11.6 - Prob. 1ECh. 11.6 - Prob. 2ECh. 11.6 - Prob. 3ECh. 11.6 - Prob. 4ECh. 11.6 - Prob. 5ECh. 11.6 - Prob. 6ECh. 11.6 - Prob. 7ECh. 11.6 - Prob. 8ECh. 11.6 - Prob. 9ECh. 11.6 - Prob. 10ECh. 11.6 - Prob. 11ECh. 11.6 - Prob. 12ECh. 11.6 - Prob. 13ECh. 11.6 - Prob. 14ECh. 11.6 - Prob. 15ECh. 11.6 - Prob. 16ECh. 11.6 - Prob. 17ECh. 11.6 - Prob. 18ECh. 11.6 - Prob. 19ECh. 11.6 - Prob. 20ECh. 11.6 - Prob. 21ECh. 11.6 - Prob. 22ECh. 11.6 - Prob. 23ECh. 11.6 - Prob. 24ECh. 11.6 - Prob. 25ECh. 11.6 - Prob. 26ECh. 11.6 - Prob. 27ECh. 11.6 - Prob. 28ECh. 11.6 - Prob. 29ECh. 11.6 - Prob. 30ECh. 11.6 - Prob. 31ECh. 11.6 - Prob. 32ECh. 11.6 - Prob. 33ECh. 11.6 - Prob. 34ECh. 11.6 - Prob. 35ECh. 11.6 - Prob. 36ECh. 11.6 - Prob. 37ECh. 11.6 - Prob. 38ECh. 11.6 - Prob. 39ECh. 11.6 - Prob. 40ECh. 11.6 - Prob. 41ECh. 11.6 - Prob. 42ECh. 11.6 - Prob. 43ECh. 11.6 - Prob. 44ECh. 11.6 - Prob. 45ECh. 11.6 - Prob. 46ECh. 11.6 - Prob. 47ECh. 11.6 - Prob. 48ECh. 11.6 - Prob. 49ECh. 11.6 - Prob. 50ECh. 11.6 - Prob. 51ECh. 11.6 - Prob. 52ECh. 11.6 - Prob. 53ECh. 11.6 - Prob. 54ECh. 11.6 - Prob. 55ECh. 11.6 - Prob. 56ECh. 11.6 - Prob. 57ECh. 11.6 - Prob. 58ECh. 11.6 - Prob. 59ECh. 11.6 - Prob. 60ECh. 11.6 - Prob. 61ECh. 11.6 - Prob. 62ECh. 11.6 - Prob. 63ECh. 11.6 - Prob. 64ECh. 11.6 - Prob. 65ECh. 11.6 - Prob. 66ECh. 11.6 - Prob. 67ECh. 11.6 - Prob. 68ECh. 11.6 - Prob. 69ECh. 11.6 - Prob. 70ECh. 11.7 - Prob. 1PQCh. 11.7 - Prob. 2PQCh. 11.7 - Prob. 3PQCh. 11.7 - Prob. 4PQCh. 11.7 - Prob. 1ECh. 11.7 - Prob. 2ECh. 11.7 - Prob. 3ECh. 11.7 - Prob. 4ECh. 11.7 - Prob. 5ECh. 11.7 - Prob. 6ECh. 11.7 - Prob. 7ECh. 11.7 - Prob. 8ECh. 11.7 - Prob. 9ECh. 11.7 - Prob. 10ECh. 11.7 - Prob. 11ECh. 11.7 - Prob. 12ECh. 11.7 - Prob. 13ECh. 11.7 - Prob. 14ECh. 11.7 - Prob. 15ECh. 11.7 - Prob. 16ECh. 11.7 - Prob. 17ECh. 11.7 - Prob. 18ECh. 11.7 - Prob. 19ECh. 11.7 - Prob. 20ECh. 11.7 - Prob. 21ECh. 11.7 - Prob. 22ECh. 11.7 - Prob. 23ECh. 11.7 - Prob. 24ECh. 11.7 - Prob. 25ECh. 11.7 - Prob. 26ECh. 11.7 - Prob. 27ECh. 11.7 - Prob. 28ECh. 11.7 - Prob. 29ECh. 11.7 - Prob. 30ECh. 11.7 - Prob. 31ECh. 11.7 - Prob. 32ECh. 11.7 - Prob. 33ECh. 11.7 - Prob. 34ECh. 11.7 - Prob. 35ECh. 11.7 - Prob. 36ECh. 11.7 - Prob. 37ECh. 11.7 - Prob. 38ECh. 11.7 - Prob. 39ECh. 11.7 - Prob. 40ECh. 11.7 - Prob. 41ECh. 11.7 - Prob. 42ECh. 11.7 - Prob. 43ECh. 11.7 - Prob. 44ECh. 11.7 - Prob. 45ECh. 11.7 - Prob. 46ECh. 11.7 - Prob. 47ECh. 11.7 - Prob. 48ECh. 11.7 - Prob. 49ECh. 11.7 - Prob. 50ECh. 11.7 - Prob. 51ECh. 11.7 - Prob. 52ECh. 11.7 - Prob. 53ECh. 11.7 - Prob. 54ECh. 11.7 - Prob. 55ECh. 11.7 - Prob. 56ECh. 11.7 - Prob. 57ECh. 11.7 - Prob. 58ECh. 11.7 - Prob. 59ECh. 11.7 - Prob. 60ECh. 11.7 - Prob. 61ECh. 11.7 - Prob. 62ECh. 11.7 - Prob. 63ECh. 11.7 - Prob. 64ECh. 11.7 - Prob. 65ECh. 11.7 - Prob. 66ECh. 11.7 - Prob. 67ECh. 11.7 - Prob. 68ECh. 11.7 - Prob. 69ECh. 11.7 - Prob. 70ECh. 11.7 - Prob. 71ECh. 11.7 - Prob. 72ECh. 11.7 - Prob. 73ECh. 11.7 - Prob. 74ECh. 11.7 - Prob. 75ECh. 11.7 - Prob. 76ECh. 11.7 - Prob. 77ECh. 11.8 - Prob. 1PQCh. 11.8 - Prob. 2PQCh. 11.8 - Prob. 3PQCh. 11.8 - Prob. 4PQCh. 11.8 - Prob. 5PQCh. 11.8 - Prob. 1ECh. 11.8 - Prob. 2ECh. 11.8 - Prob. 3ECh. 11.8 - Prob. 4ECh. 11.8 - Prob. 5ECh. 11.8 - Prob. 6ECh. 11.8 - Prob. 7ECh. 11.8 - Prob. 8ECh. 11.8 - Prob. 9ECh. 11.8 - Prob. 10ECh. 11.8 - Prob. 11ECh. 11.8 - Prob. 12ECh. 11.8 - Prob. 13ECh. 11.8 - Prob. 14ECh. 11.8 - Prob. 15ECh. 11.8 - Prob. 16ECh. 11.8 - Prob. 17ECh. 11.8 - Prob. 18ECh. 11.8 - Prob. 19ECh. 11.8 - Prob. 20ECh. 11.8 - Prob. 21ECh. 11.8 - Prob. 22ECh. 11.8 - Prob. 23ECh. 11.8 - Prob. 24ECh. 11.8 - Prob. 25ECh. 11.8 - Prob. 26ECh. 11.8 - Prob. 27ECh. 11.8 - Prob. 28ECh. 11.8 - Prob. 29ECh. 11.8 - Prob. 30ECh. 11.8 - Prob. 31ECh. 11.8 - Prob. 32ECh. 11.8 - Prob. 33ECh. 11.8 - Prob. 34ECh. 11.8 - Prob. 35ECh. 11.8 - Prob. 36ECh. 11.8 - Prob. 37ECh. 11.8 - Prob. 38ECh. 11.8 - Prob. 39ECh. 11.8 - Prob. 40ECh. 11.8 - Prob. 41ECh. 11.8 - Prob. 42ECh. 11.8 - Prob. 43ECh. 11.8 - Prob. 44ECh. 11.8 - Prob. 45ECh. 11.8 - Prob. 46ECh. 11.8 - Prob. 47ECh. 11.8 - Prob. 48ECh. 11.8 - Prob. 49ECh. 11.8 - Prob. 50ECh. 11.8 - Prob. 51ECh. 11.8 - Prob. 52ECh. 11.8 - Prob. 53ECh. 11.8 - Prob. 54ECh. 11.8 - Prob. 55ECh. 11.8 - Prob. 56ECh. 11.8 - Prob. 57ECh. 11.8 - Prob. 58ECh. 11.8 - Prob. 59ECh. 11.8 - Prob. 60ECh. 11.8 - Prob. 61ECh. 11.8 - Prob. 62ECh. 11.8 - Prob. 63ECh. 11.8 - Prob. 64ECh. 11.8 - Prob. 65ECh. 11.8 - Prob. 66ECh. 11.8 - Prob. 67ECh. 11.8 - Prob. 68ECh. 11.8 - Prob. 69ECh. 11.8 - Prob. 70ECh. 11.8 - Prob. 71ECh. 11.8 - Prob. 72ECh. 11.8 - Prob. 73ECh. 11.8 - Prob. 74ECh. 11.8 - Prob. 75ECh. 11.8 - Prob. 76ECh. 11.8 - Prob. 77ECh. 11.8 - Prob. 78ECh. 11.8 - Prob. 79ECh. 11.8 - Prob. 80ECh. 11.8 - Prob. 81ECh. 11.8 - Prob. 82ECh. 11.8 - Prob. 83ECh. 11.8 - Prob. 84ECh. 11.8 - Prob. 85ECh. 11.8 - Prob. 86ECh. 11.8 - Prob. 87ECh. 11.8 - Prob. 88ECh. 11.8 - Prob. 89ECh. 11.8 - Prob. 90ECh. 11.8 - Prob. 91ECh. 11.8 - Prob. 92ECh. 11.8 - Prob. 93ECh. 11.8 - Prob. 94ECh. 11.8 - Prob. 95ECh. 11.8 - Prob. 96ECh. 11.8 - Prob. 97ECh. 11.8 - Prob. 98ECh. 11.8 - Prob. 99ECh. 11.8 - Prob. 100ECh. 11 - Prob. 1CRECh. 11 - Prob. 2CRECh. 11 - Prob. 3CRECh. 11 - Prob. 4CRECh. 11 - Prob. 5CRECh. 11 - Prob. 6CRECh. 11 - Prob. 7CRECh. 11 - Prob. 8CRECh. 11 - Prob. 9CRECh. 11 - Prob. 10CRECh. 11 - Prob. 11CRECh. 11 - Prob. 12CRECh. 11 - Prob. 13CRECh. 11 - Prob. 14CRECh. 11 - Prob. 15CRECh. 11 - Prob. 16CRECh. 11 - Prob. 17CRECh. 11 - Prob. 18CRECh. 11 - Prob. 19CRECh. 11 - Prob. 20CRECh. 11 - Prob. 21CRECh. 11 - Prob. 22CRECh. 11 - Prob. 23CRECh. 11 - Prob. 24CRECh. 11 - Prob. 25CRECh. 11 - Prob. 26CRECh. 11 - Prob. 27CRECh. 11 - Prob. 28CRECh. 11 - Prob. 29CRECh. 11 - Prob. 30CRECh. 11 - Prob. 31CRECh. 11 - Prob. 32CRECh. 11 - Prob. 33CRECh. 11 - Prob. 34CRECh. 11 - Prob. 35CRECh. 11 - Prob. 36CRECh. 11 - Prob. 37CRECh. 11 - Prob. 38CRECh. 11 - Prob. 39CRECh. 11 - Prob. 40CRECh. 11 - Prob. 41CRECh. 11 - Prob. 42CRECh. 11 - Prob. 43CRECh. 11 - Prob. 44CRECh. 11 - Prob. 45CRECh. 11 - Prob. 46CRECh. 11 - Prob. 47CRECh. 11 - Prob. 48CRECh. 11 - Prob. 49CRECh. 11 - Prob. 50CRECh. 11 - Prob. 51CRECh. 11 - Prob. 52CRECh. 11 - Prob. 53CRECh. 11 - Prob. 54CRECh. 11 - Prob. 55CRECh. 11 - Prob. 56CRECh. 11 - Prob. 57CRECh. 11 - Prob. 58CRECh. 11 - Prob. 59CRECh. 11 - Prob. 60CRECh. 11 - Prob. 61CRECh. 11 - Prob. 62CRECh. 11 - Prob. 63CRECh. 11 - Prob. 64CRECh. 11 - Prob. 65CRECh. 11 - Prob. 66CRECh. 11 - Prob. 67CRECh. 11 - Prob. 68CRECh. 11 - Prob. 69CRECh. 11 - Prob. 70CRECh. 11 - Prob. 71CRECh. 11 - Prob. 72CRECh. 11 - Prob. 73CRECh. 11 - Prob. 74CRECh. 11 - Prob. 75CRECh. 11 - Prob. 76CRECh. 11 - Prob. 77CRECh. 11 - Prob. 78CRECh. 11 - Prob. 79CRECh. 11 - Prob. 80CRECh. 11 - Prob. 81CRECh. 11 - Prob. 82CRECh. 11 - Prob. 83CRECh. 11 - Prob. 84CRECh. 11 - Prob. 85CRECh. 11 - Prob. 86CRECh. 11 - Prob. 87CRECh. 11 - Prob. 88CRECh. 11 - Prob. 89CRECh. 11 - Prob. 90CRECh. 11 - Prob. 91CRECh. 11 - Prob. 92CRECh. 11 - Prob. 93CRECh. 11 - Prob. 94CRECh. 11 - Prob. 95CRECh. 11 - Prob. 96CRECh. 11 - Prob. 97CRECh. 11 - Prob. 98CRECh. 11 - Prob. 99CRECh. 11 - Prob. 100CRECh. 11 - Prob. 101CRECh. 11 - Prob. 102CRECh. 11 - Prob. 103CRECh. 11 - Prob. 104CRECh. 11 - Prob. 105CRECh. 11 - Prob. 106CRECh. 11 - Prob. 107CRECh. 11 - Prob. 108CRECh. 11 - Prob. 109CRECh. 11 - Prob. 110CRECh. 11 - Prob. 111CRECh. 11 - Prob. 112CRECh. 11 - Prob. 113CRECh. 11 - Prob. 114CRECh. 11 - Prob. 115CRECh. 11 - Prob. 116CRECh. 11 - Prob. 117CRECh. 11 - Prob. 118CRECh. 11 - Prob. 119CRECh. 11 - Prob. 120CRECh. 11 - Prob. 121CRECh. 11 - Prob. 122CRECh. 11 - Prob. 123CRECh. 11 - Prob. 124CRECh. 11 - Prob. 125CRECh. 11 - Prob. 126CRECh. 11 - Prob. 127CRECh. 11 - Prob. 128CRECh. 11 - Prob. 129CRECh. 11 - Prob. 130CRECh. 11 - Prob. 131CRECh. 11 - Prob. 132CRECh. 11 - Prob. 133CRECh. 11 - Prob. 134CRECh. 11 - Prob. 135CRECh. 11 - Prob. 136CRECh. 11 - Prob. 137CRECh. 11 - Prob. 138CRECh. 11 - Prob. 139CRECh. 11 - Prob. 140CRECh. 11 - Prob. 141CRECh. 11 - Prob. 142CRE
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