MML PRECALCULUS ENHANCED
7th Edition
ISBN: 9780134119250
Author: Sullivan
Publisher: INTER PEAR
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Question
Chapter A.1, Problem 96SB
To determine
To find: Each expression.
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1. Show that the vector field
F(x, y, z)
=
(2x sin ye³)ix² cos yj + (3xe³ +5)k
satisfies the necessary conditions for a conservative vector field, and find a potential function for
F.
1. Newton's Law of Gravitation (an example of an inverse square law) states that the magnitude
of the gravitational force between two objects with masses m and M is
|F|
mMG
|r|2
where r is the distance between the objects, and G is the gravitational constant. Assume that the
object with mass M is located at the origin in R³. Then, the gravitational force field acting on
the object at the point r = (x, y, z) is given by
F(x, y, z) =
mMG
r3
r.
mMG
mMG
Show that the scalar vector field f(x, y, z) =
=
is a potential function for
r
√√x² + y² .
Fi.e. show that F = Vf.
Remark: f is the negative of the physical potential energy, because F = -V(-ƒ).
Chapter A Solutions
MML PRECALCULUS ENHANCED
Ch. A.1 - Prob. 1CVCh. A.1 - Prob. 2CVCh. A.1 - Prob. 3CVCh. A.1 - Prob. 4CVCh. A.1 - Prob. 5CVCh. A.1 - Prob. 6CVCh. A.1 - Prob. 7CVCh. A.1 - Prob. 8CVCh. A.1 - Prob. 9CVCh. A.1 - Prob. 10CV
Ch. A.1 - Prob. 11SBCh. A.1 - Prob. 12SBCh. A.1 - Prob. 13SBCh. A.1 - Prob. 14SBCh. A.1 - Prob. 15SBCh. A.1 - Prob. 16SBCh. A.1 - Prob. 17SBCh. A.1 - Prob. 18SBCh. A.1 - Prob. 19SBCh. A.1 - Prob. 20SBCh. A.1 - Prob. 21SBCh. A.1 - Prob. 22SBCh. A.1 - Prob. 23SBCh. A.1 - Prob. 24SBCh. A.1 - Prob. 25SBCh. A.1 - Prob. 26SBCh. A.1 - Prob. 27SBCh. A.1 - Prob. 28SBCh. A.1 - Prob. 29SBCh. A.1 - Prob. 30SBCh. A.1 - Prob. 31SBCh. A.1 - Prob. 32SBCh. A.1 - Prob. 33SBCh. A.1 - Prob. 34SBCh. A.1 - Prob. 35SBCh. A.1 - Prob. 36SBCh. A.1 - Prob. 37SBCh. A.1 - Prob. 38SBCh. A.1 - Prob. 39SBCh. A.1 - Prob. 40SBCh. A.1 - Prob. 41SBCh. A.1 - Prob. 42SBCh. A.1 - Prob. 43SBCh. A.1 - Prob. 44SBCh. A.1 - Prob. 45SBCh. A.1 - Prob. 46SBCh. A.1 - Prob. 47SBCh. A.1 - Prob. 48SBCh. A.1 - Prob. 49SBCh. A.1 - Prob. 50SBCh. A.1 - Prob. 51SBCh. A.1 - Prob. 52SBCh. A.1 - Prob. 53SBCh. A.1 - Prob. 54SBCh. A.1 - Prob. 55SBCh. A.1 - Prob. 56SBCh. A.1 - Prob. 57SBCh. A.1 - Prob. 58SBCh. A.1 - Prob. 59SBCh. A.1 - Prob. 60SBCh. A.1 - Prob. 61SBCh. A.1 - Prob. 62SBCh. A.1 - Prob. 63SBCh. A.1 - Prob. 64SBCh. A.1 - Prob. 65SBCh. A.1 - Prob. 66SBCh. A.1 - Prob. 67SBCh. A.1 - Prob. 68SBCh. A.1 - Prob. 69SBCh. A.1 - Prob. 70SBCh. A.1 - Prob. 71SBCh. A.1 - Prob. 72SBCh. A.1 - Prob. 73SBCh. A.1 - Prob. 74SBCh. A.1 - Prob. 75SBCh. A.1 - Prob. 76SBCh. A.1 - Prob. 77SBCh. A.1 - Prob. 78SBCh. A.1 - Prob. 79SBCh. A.1 - Prob. 80SBCh. A.1 - Prob. 81SBCh. A.1 - Prob. 82SBCh. A.1 - Prob. 83SBCh. A.1 - Prob. 84SBCh. A.1 - Prob. 85SBCh. A.1 - Prob. 86SBCh. A.1 - Prob. 87SBCh. A.1 - Prob. 88SBCh. A.1 - Prob. 89SBCh. A.1 - Prob. 90SBCh. A.1 - Prob. 91SBCh. A.1 - Prob. 92SBCh. A.1 - Prob. 93SBCh. A.1 - Prob. 94SBCh. A.1 - Prob. 95SBCh. A.1 - Prob. 96SBCh. A.1 - Prob. 97SBCh. A.1 - Prob. 98SBCh. A.1 - Prob. 99SBCh. A.1 - Prob. 100SBCh. A.1 - Prob. 101SBCh. A.1 - Prob. 102SBCh. A.1 - Prob. 103SBCh. A.1 - Prob. 104SBCh. A.1 - Prob. 105SBCh. A.1 - Prob. 106SBCh. A.1 - Prob. 107SBCh. A.1 - Prob. 108SBCh. A.1 - Prob. 109SBCh. A.1 - Prob. 110SBCh. A.1 - Prob. 111SBCh. A.1 - Prob. 112SBCh. A.1 - Prob. 113SBCh. A.1 - Prob. 114SBCh. A.1 - Prob. 115SBCh. A.1 - Prob. 116SBCh. A.1 - Prob. 117SBCh. A.1 - Prob. 118SBCh. A.1 - Prob. 119SBCh. A.1 - Prob. 120SBCh. A.1 - Prob. 121SBCh. A.1 - Prob. 122SBCh. A.1 - Prob. 123SBCh. A.1 - Prob. 124SBCh. A.1 - Prob. 125SBCh. A.1 - Prob. 126SBCh. A.1 - Prob. 127SBCh. A.1 - Prob. 128SBCh. A.1 - Prob. 129SBCh. A.1 - Prob. 130SBCh. A.1 - Prob. 131AECh. A.1 - Prob. 132AECh. A.1 - Prob. 133AECh. A.1 - Prob. 134AECh. A.1 - Prob. 135AECh. A.1 - Prob. 136AECh. A.1 - Prob. 137AECh. A.1 - Prob. 138AECh. A.1 - Prob. 139AECh. A.1 - Prob. 140AECh. A.1 - Prob. 141AECh. A.1 - Prob. 142AECh. A.1 - Prob. 143AECh. A.1 - Prob. 144AECh. A.1 - Prob. 145AECh. A.1 - Prob. 146AECh. A.1 - Prob. 147AECh. A.1 - Prob. 148AECh. A.1 - Prob. 149AECh. A.1 - Prob. 150AECh. A.1 - Prob. 151DWCh. A.1 - Prob. 152DWCh. A.1 - Prob. 153DWCh. A.1 - Prob. 154DWCh. A.2 - Prob. 1CVCh. A.2 - Prob. 2CVCh. A.2 - Prob. 3CVCh. A.2 - Prob. 4CVCh. A.2 - Prob. 5CVCh. A.2 - Prob. 6CVCh. A.2 - Prob. 7CVCh. A.2 - Prob. 8CVCh. A.2 - Prob. 9CVCh. A.2 - Prob. 10CVCh. A.2 - Prob. 11CVCh. A.2 - Prob. 12CVCh. A.2 - Prob. 13SBCh. A.2 - Prob. 14SBCh. A.2 - Prob. 15SBCh. A.2 - Prob. 16SBCh. A.2 - Prob. 17SBCh. A.2 - Prob. 18SBCh. A.2 - Prob. 19SBCh. A.2 - Prob. 20SBCh. A.2 - Prob. 21SBCh. A.2 - Prob. 22SBCh. A.2 - Prob. 23SBCh. A.2 - Prob. 24SBCh. A.2 - Prob. 25SBCh. A.2 - Prob. 26SBCh. A.2 - Prob. 27SBCh. A.2 - Prob. 28SBCh. A.2 - Prob. 29SBCh. A.2 - Prob. 30SBCh. A.2 - Prob. 31SBCh. A.2 - Prob. 32SBCh. A.2 - Prob. 33SBCh. A.2 - Prob. 34SBCh. A.2 - Prob. 35SBCh. A.2 - Prob. 36SBCh. A.2 - Prob. 37SBCh. A.2 - Prob. 38SBCh. A.2 - Prob. 39SBCh. A.2 - Prob. 40SBCh. A.2 - Prob. 41SBCh. A.2 - Prob. 42SBCh. A.2 - Prob. 43SBCh. A.2 - Prob. 44SBCh. A.2 - Prob. 45SBCh. A.2 - Prob. 46SBCh. A.2 - Prob. 47AECh. A.2 - Prob. 48AECh. A.2 - Prob. 49AECh. A.2 - Prob. 50AECh. A.2 - Prob. 51AECh. A.2 - Prob. 52AECh. A.2 - Prob. 53AECh. A.2 - Prob. 54AECh. A.2 - Prob. 55AECh. A.2 - Prob. 56AECh. A.2 - Prob. 57AECh. A.2 - Prob. 58AECh. A.2 - Prob. 59DWCh. A.2 - Prob. 60DWCh. A.3 - Prob. 1CVCh. A.3 - Prob. 2CVCh. A.3 - Prob. 3CVCh. A.3 - Prob. 4CVCh. A.3 - Prob. 5CVCh. A.3 - Prob. 6CVCh. A.3 - Prob. 7CVCh. A.3 - Prob. 8CVCh. A.3 - Prob. 9CVCh. A.3 - Prob. 10CVCh. A.3 - Prob. 11CVCh. A.3 - Prob. 12CVCh. A.3 - Prob. 13CVCh. A.3 - Prob. 14CVCh. A.3 - Prob. 15SBCh. A.3 - Prob. 16SBCh. A.3 - Prob. 17SBCh. A.3 - Prob. 18SBCh. A.3 - Prob. 19SBCh. A.3 - Prob. 20SBCh. A.3 - Prob. 21SBCh. A.3 - Prob. 22SBCh. A.3 - Prob. 23SBCh. A.3 - Prob. 24SBCh. A.3 - Prob. 25SBCh. A.3 - Prob. 26SBCh. A.3 - Prob. 27SBCh. A.3 - Prob. 28SBCh. A.3 - Prob. 29SBCh. A.3 - Prob. 30SBCh. A.3 - Prob. 31SBCh. A.3 - Prob. 32SBCh. A.3 - Prob. 33SBCh. A.3 - Prob. 34SBCh. A.3 - Prob. 35SBCh. A.3 - Prob. 36SBCh. A.3 - Prob. 37SBCh. A.3 - Prob. 38SBCh. A.3 - Prob. 39SBCh. A.3 - Prob. 40SBCh. A.3 - Prob. 41SBCh. A.3 - Prob. 42SBCh. A.3 - Prob. 43SBCh. A.3 - Prob. 44SBCh. A.3 - Prob. 45SBCh. A.3 - Prob. 46SBCh. A.3 - Prob. 47SBCh. A.3 - Prob. 48SBCh. A.3 - Prob. 49SBCh. A.3 - Prob. 50SBCh. A.3 - Prob. 51SBCh. A.3 - Prob. 52SBCh. A.3 - Prob. 53SBCh. A.3 - Prob. 54SBCh. A.3 - Prob. 55SBCh. A.3 - Prob. 56SBCh. A.3 - Prob. 57SBCh. A.3 - Prob. 58SBCh. A.3 - Prob. 59SBCh. A.3 - Prob. 60SBCh. A.3 - Prob. 61SBCh. A.3 - Prob. 62SBCh. A.3 - Prob. 63SBCh. A.3 - Prob. 64SBCh. A.3 - Prob. 65SBCh. A.3 - Prob. 66SBCh. A.3 - Prob. 67SBCh. A.3 - Prob. 68SBCh. A.3 - Prob. 69SBCh. A.3 - Prob. 70SBCh. A.3 - Prob. 71SBCh. A.3 - Prob. 72SBCh. A.3 - Prob. 73SBCh. A.3 - Prob. 74SBCh. A.3 - Prob. 75SBCh. A.3 - Prob. 76SBCh. A.3 - Prob. 77SBCh. A.3 - Prob. 78SBCh. A.3 - Prob. 79SBCh. A.3 - Prob. 80SBCh. A.3 - Prob. 81SBCh. A.3 - Prob. 82SBCh. A.3 - Prob. 83SBCh. A.3 - Prob. 84SBCh. A.3 - Prob. 85SBCh. A.3 - Prob. 86SBCh. A.3 - Prob. 87SBCh. A.3 - Prob. 88SBCh. A.3 - Prob. 89SBCh. A.3 - Prob. 90SBCh. A.3 - Prob. 91SBCh. A.3 - Prob. 92SBCh. A.3 - Prob. 93SBCh. A.3 - Prob. 94SBCh. A.3 - Prob. 95SBCh. A.3 - Prob. 96SBCh. A.3 - Prob. 97SBCh. A.3 - Prob. 98SBCh. A.3 - Prob. 99SBCh. A.3 - Prob. 100SBCh. A.3 - Prob. 101SBCh. A.3 - Prob. 102SBCh. A.3 - Prob. 103SBCh. A.3 - Prob. 104SBCh. A.3 - Prob. 105SBCh. A.3 - Prob. 106SBCh. A.3 - Prob. 107SBCh. A.3 - Prob. 108SBCh. A.3 - Prob. 109SBCh. A.3 - Prob. 110SBCh. A.3 - Prob. 111SBCh. A.3 - Prob. 112SBCh. A.3 - Prob. 113SBCh. A.3 - Prob. 114SBCh. A.3 - Prob. 115SBCh. A.3 - Prob. 116SBCh. A.3 - Prob. 117SBCh. A.3 - Prob. 118SBCh. A.3 - Prob. 119SBCh. A.3 - Prob. 120SBCh. A.3 - Prob. 121SBCh. A.3 - Prob. 122SBCh. A.3 - Prob. 123SBCh. A.3 - Prob. 124SBCh. A.3 - Prob. 125SBCh. A.3 - Prob. 126SBCh. A.3 - Prob. 127SBCh. A.3 - Prob. 128SBCh. A.3 - Prob. 129SBCh. A.3 - Prob. 130SBCh. A.3 - Prob. 131AECh. A.3 - Prob. 132AECh. A.3 - Prob. 133AECh. A.3 - Prob. 134AECh. A.3 - Prob. 135AECh. A.3 - Prob. 136AECh. A.3 - Prob. 137AECh. A.3 - Prob. 138AECh. A.3 - Prob. 139AECh. A.3 - Prob. 140AECh. A.3 - Prob. 141AECh. A.3 - Prob. 142AECh. A.3 - Prob. 143DWCh. A.3 - Prob. 144DWCh. A.3 - Prob. 145DWCh. A.3 - Prob. 146DWCh. A.3 - Prob. 147DWCh. A.3 - Prob. 148DWCh. A.4 - Prob. 1CVCh. A.4 - Prob. 2CVCh. A.4 - Prob. 3CVCh. A.4 - Prob. 4CVCh. A.4 - Prob. 5CVCh. A.4 - Prob. 6CVCh. A.4 - Prob. 7SBCh. A.4 - Prob. 8SBCh. A.4 - Prob. 9SBCh. A.4 - Prob. 10SBCh. A.4 - Prob. 11SBCh. A.4 - Prob. 12SBCh. A.4 - Prob. 13SBCh. A.4 - Prob. 14SBCh. A.4 - Prob. 15SBCh. A.4 - Prob. 16SBCh. A.4 - Prob. 17SBCh. A.4 - Prob. 18SBCh. A.4 - Prob. 19SBCh. A.4 - Prob. 20SBCh. A.4 - Prob. 21SBCh. A.4 - Prob. 22SBCh. A.4 - Prob. 23SBCh. A.4 - Prob. 24SBCh. A.4 - Prob. 25SBCh. A.4 - Prob. 26SBCh. A.4 - Prob. 27SBCh. A.4 - Prob. 28SBCh. A.4 - Prob. 29AECh. A.4 - Prob. 30DWCh. A.5 - Prob. 1CVCh. A.5 - Prob. 2CVCh. A.5 - Prob. 3CVCh. A.5 - Prob. 4CVCh. A.5 - Prob. 5CVCh. A.5 - Prob. 6CVCh. A.5 - Prob. 7SBCh. A.5 - Prob. 8SBCh. A.5 - Prob. 9SBCh. A.5 - Prob. 10SBCh. A.5 - Prob. 11SBCh. A.5 - Prob. 12SBCh. A.5 - Prob. 13SBCh. A.5 - Prob. 14SBCh. A.5 - Prob. 15SBCh. A.5 - Prob. 16SBCh. A.5 - Prob. 17SBCh. A.5 - Prob. 18SBCh. A.5 - Prob. 19SBCh. A.5 - Prob. 20SBCh. A.5 - Prob. 21SBCh. A.5 - Prob. 22SBCh. A.5 - Prob. 23SBCh. A.5 - Prob. 24SBCh. A.5 - Prob. 25SBCh. A.5 - Prob. 26SBCh. A.5 - Prob. 27SBCh. A.5 - Prob. 28SBCh. A.5 - Prob. 29SBCh. A.5 - Prob. 30SBCh. A.5 - Prob. 31SBCh. A.5 - Prob. 32SBCh. A.5 - Prob. 33SBCh. A.5 - Prob. 34SBCh. A.5 - Prob. 35SBCh. A.5 - Prob. 36SBCh. A.5 - Prob. 37AECh. A.5 - Prob. 38AECh. A.5 - Prob. 39AECh. A.5 - Prob. 40AECh. A.5 - Prob. 41AECh. A.5 - Prob. 42AECh. A.5 - Prob. 43AECh. A.5 - Prob. 44AECh. A.5 - Prob. 45AECh. A.5 - Prob. 46AECh. A.5 - Prob. 47DWCh. A.5 - Prob. 48DWCh. A.5 - Prob. 49DWCh. A.6 - Prob. 1AYPCh. A.6 - Prob. 2AYPCh. A.6 - Prob. 3AYPCh. A.6 - Prob. 4AYPCh. A.6 - Prob. 5CVCh. A.6 - Prob. 6CVCh. A.6 - Prob. 7CVCh. A.6 - Prob. 8CVCh. A.6 - Prob. 9CVCh. A.6 - Prob. 10CVCh. A.6 - Prob. 11CVCh. A.6 - Prob. 12CVCh. A.6 - Prob. 13CVCh. A.6 - Prob. 14CVCh. A.6 - Prob. 15SBCh. A.6 - Prob. 16SBCh. A.6 - Prob. 17SBCh. A.6 - Prob. 18SBCh. A.6 - Prob. 19SBCh. A.6 - Prob. 20SBCh. A.6 - Prob. 21SBCh. A.6 - Prob. 22SBCh. A.6 - Prob. 23SBCh. A.6 - Prob. 24SBCh. A.6 - Prob. 25SBCh. A.6 - Prob. 26SBCh. A.6 - Prob. 27SBCh. A.6 - Prob. 28SBCh. A.6 - Prob. 29SBCh. A.6 - Prob. 30SBCh. A.6 - Prob. 31SBCh. A.6 - Prob. 32SBCh. A.6 - Prob. 33SBCh. A.6 - Prob. 34SBCh. A.6 - Prob. 35SBCh. A.6 - Prob. 36SBCh. A.6 - Prob. 37SBCh. A.6 - Prob. 38SBCh. A.6 - Prob. 39SBCh. A.6 - Prob. 40SBCh. A.6 - Prob. 41SBCh. A.6 - Prob. 42SBCh. A.6 - Prob. 43SBCh. A.6 - Prob. 44SBCh. A.6 - Prob. 45SBCh. A.6 - Prob. 46SBCh. A.6 - Prob. 47SBCh. A.6 - Prob. 48SBCh. A.6 - Prob. 49SBCh. A.6 - Prob. 50SBCh. A.6 - Prob. 51SBCh. A.6 - Prob. 52SBCh. A.6 - Prob. 53SBCh. A.6 - Prob. 54SBCh. A.6 - Prob. 55SBCh. A.6 - Prob. 56SBCh. A.6 - Prob. 57SBCh. A.6 - Prob. 58SBCh. A.6 - Prob. 59SBCh. A.6 - Prob. 60SBCh. A.6 - Prob. 61SBCh. A.6 - Prob. 62SBCh. A.6 - Prob. 63SBCh. A.6 - Prob. 64SBCh. A.6 - Prob. 65SBCh. A.6 - Prob. 66SBCh. A.6 - Prob. 67SBCh. A.6 - Prob. 68SBCh. A.6 - Prob. 69SBCh. A.6 - Prob. 70SBCh. A.6 - Prob. 71SBCh. A.6 - Prob. 72SBCh. A.6 - Prob. 73SBCh. A.6 - Prob. 74SBCh. A.6 - Prob. 75SBCh. A.6 - Prob. 76SBCh. A.6 - Prob. 77SBCh. A.6 - Prob. 78SBCh. A.6 - Prob. 79SBCh. A.6 - Prob. 80SBCh. A.6 - Prob. 81SBCh. A.6 - Prob. 82SBCh. A.6 - Prob. 83SBCh. A.6 - Prob. 84SBCh. A.6 - Prob. 85SBCh. A.6 - Prob. 86SBCh. A.6 - Prob. 87SBCh. A.6 - Prob. 88SBCh. A.6 - Prob. 89SBCh. A.6 - Prob. 90SBCh. A.6 - Prob. 91SBCh. A.6 - Prob. 92SBCh. A.6 - Prob. 93SBCh. A.6 - Prob. 94SBCh. A.6 - Prob. 95SBCh. A.6 - Prob. 96SBCh. A.6 - Prob. 97SBCh. A.6 - Prob. 98SBCh. A.6 - Prob. 99SBCh. A.6 - Prob. 100SBCh. A.6 - Prob. 101SBCh. A.6 - Prob. 102SBCh. A.6 - Prob. 103SBCh. A.6 - Prob. 104SBCh. A.6 - Prob. 105SBCh. A.6 - Prob. 106SBCh. A.6 - Prob. 107SBCh. A.6 - Prob. 108SBCh. A.6 - Prob. 109SBCh. A.6 - Prob. 110SBCh. A.6 - Prob. 111SBCh. A.6 - Prob. 112SBCh. A.6 - Prob. 113SBCh. A.6 - Prob. 114SBCh. A.6 - Prob. 115SBCh. A.6 - Prob. 116SBCh. A.6 - Prob. 117SBCh. A.6 - Prob. 118SBCh. A.6 - Prob. 119SBCh. A.6 - Prob. 120SBCh. A.6 - Prob. 121SBCh. A.6 - Prob. 122SBCh. A.6 - Prob. 123SBCh. A.6 - Prob. 124SBCh. A.6 - Prob. 125SBCh. A.6 - Prob. 126SBCh. A.6 - Prob. 127SBCh. A.6 - Prob. 128SBCh. A.6 - Prob. 129SBCh. A.6 - Prob. 130SBCh. A.6 - Prob. 131SBCh. A.6 - Prob. 132SBCh. A.6 - Prob. 133SBCh. A.6 - Prob. 134SBCh. A.6 - Prob. 135SBCh. A.6 - Prob. 136SBCh. A.6 - Prob. 137SBCh. A.6 - Prob. 138SBCh. A.6 - Prob. 139SBCh. A.6 - Prob. 140SBCh. A.6 - Prob. 141SBCh. A.6 - Prob. 142SBCh. A.6 - Prob. 143DWCh. A.6 - Prob. 144DWCh. A.6 - Prob. 145DWCh. A.6 - Prob. 146DWCh. A.6 - Prob. 147DWCh. A.6 - Prob. 148DWCh. A.6 - Prob. 149DWCh. A.6 - Prob. 150DWCh. A.7 - Prob. 1CVCh. A.7 - Prob. 2CVCh. A.7 - Prob. 3CVCh. A.7 - Prob. 4CVCh. A.7 - Prob. 5CVCh. A.7 - Prob. 6CVCh. A.7 - Prob. 7CVCh. A.7 - Prob. 8CVCh. A.7 - Prob. 9CVCh. A.7 - Prob. 10CVCh. A.7 - Prob. 11SBCh. A.7 - Prob. 12SBCh. A.7 - Prob. 13SBCh. A.7 - Prob. 14SBCh. A.7 - Prob. 15SBCh. A.7 - Prob. 16SBCh. A.7 - Prob. 17SBCh. A.7 - Prob. 18SBCh. A.7 - Prob. 19SBCh. A.7 - Prob. 20SBCh. A.7 - Prob. 21SBCh. A.7 - Prob. 22SBCh. A.7 - Prob. 23SBCh. A.7 - Prob. 24SBCh. A.7 - Prob. 25SBCh. A.7 - Prob. 26SBCh. A.7 - Prob. 27SBCh. A.7 - Prob. 28SBCh. A.7 - Prob. 29SBCh. A.7 - Prob. 30SBCh. A.7 - Prob. 31SBCh. A.7 - Prob. 32SBCh. A.7 - Prob. 33SBCh. A.7 - Prob. 34SBCh. A.7 - Prob. 35SBCh. A.7 - Prob. 36SBCh. A.7 - Prob. 37SBCh. A.7 - Prob. 38SBCh. A.7 - Prob. 39SBCh. A.7 - Prob. 40SBCh. A.7 - Prob. 41SBCh. A.7 - Prob. 42SBCh. A.7 - Prob. 43SBCh. A.7 - Prob. 44SBCh. A.7 - Prob. 45SBCh. A.7 - Prob. 46SBCh. A.7 - Prob. 47SBCh. A.7 - Prob. 48SBCh. A.7 - Prob. 49SBCh. A.7 - Prob. 50SBCh. A.7 - Prob. 51SBCh. A.7 - Prob. 52SBCh. A.7 - Prob. 53SBCh. A.7 - Prob. 54SBCh. A.7 - Prob. 55SBCh. A.7 - Prob. 56SBCh. A.7 - Prob. 57SBCh. A.7 - Prob. 58SBCh. A.7 - Prob. 59SBCh. A.7 - Prob. 60SBCh. A.7 - Prob. 61SBCh. A.7 - Prob. 62SBCh. A.7 - Prob. 63SBCh. A.7 - Prob. 64SBCh. A.7 - Prob. 65SBCh. A.7 - Prob. 66SBCh. A.7 - Prob. 67SBCh. A.7 - Prob. 68SBCh. A.7 - Prob. 69SBCh. A.7 - Prob. 70SBCh. A.7 - Prob. 71SBCh. A.7 - Prob. 72SBCh. A.7 - Prob. 73SBCh. A.7 - Prob. 74SBCh. A.7 - Prob. 75SBCh. A.7 - Prob. 76SBCh. A.7 - Prob. 77SBCh. A.7 - Prob. 78SBCh. A.7 - Prob. 79SBCh. A.7 - Prob. 80SBCh. A.7 - Prob. 81SBCh. A.7 - Prob. 82SBCh. A.7 - Prob. 83SBCh. A.7 - Prob. 84SBCh. A.7 - Prob. 85SBCh. A.7 - Prob. 86SBCh. A.7 - Prob. 87SBCh. A.7 - Prob. 88SBCh. A.7 - Prob. 89SBCh. A.7 - Prob. 90SBCh. A.7 - Prob. 91AECh. A.7 - Prob. 92AECh. A.7 - Prob. 93AECh. A.7 - Prob. 94AECh. A.7 - Prob. 95AECh. A.7 - Prob. 96AECh. A.7 - Prob. 97DWCh. A.7 - Prob. 98DWCh. A.7 - Prob. 99DWCh. A.7 - Prob. 100DWCh. A.7 - Prob. 101DWCh. A.8 - Prob. 1CVCh. A.8 - Prob. 2CVCh. A.8 - Prob. 3CVCh. A.8 - Prob. 4CVCh. A.8 - Prob. 5CVCh. A.8 - Prob. 6CVCh. A.8 - Prob. 7CVCh. A.8 - Prob. 8CVCh. A.8 - Prob. 9AECh. A.8 - Prob. 10AECh. A.8 - Prob. 11AECh. A.8 - Prob. 12AECh. A.8 - Prob. 13AECh. A.8 - Prob. 14AECh. A.8 - Prob. 15AECh. A.8 - Prob. 16AECh. A.8 - Prob. 17AECh. A.8 - Prob. 18AECh. A.8 - Prob. 19AECh. A.8 - Prob. 20AECh. A.8 - Prob. 21AECh. A.8 - Prob. 22AECh. A.8 - Prob. 23AECh. A.8 - Prob. 24AECh. A.8 - Prob. 25AECh. A.8 - Prob. 26AECh. A.8 - Prob. 27AECh. A.8 - Prob. 28AECh. A.8 - Prob. 29AECh. A.8 - Prob. 30AECh. A.8 - Prob. 31AECh. A.8 - Prob. 32AECh. A.8 - Prob. 33AECh. A.8 - Prob. 34AECh. A.8 - Prob. 35AECh. A.8 - Prob. 36AECh. A.8 - Prob. 37AECh. A.8 - Prob. 38AECh. A.8 - Prob. 39AECh. A.8 - Prob. 40AECh. A.8 - Prob. 41AECh. A.8 - Prob. 42AECh. A.8 - Prob. 43AECh. A.8 - Prob. 44AECh. A.8 - Prob. 45AECh. A.8 - Prob. 46AECh. A.8 - Prob. 47AECh. A.8 - Prob. 48AECh. A.8 - Prob. 49AECh. A.8 - Prob. 50AECh. A.8 - Prob. 51AECh. A.8 - Prob. 52AECh. A.8 - Prob. 53AECh. A.8 - Prob. 54AECh. A.8 - Prob. 55AECh. A.8 - Prob. 56AECh. A.8 - Prob. 57AECh. A.8 - Prob. 58AECh. A.8 - Prob. 59DWCh. A.8 - Prob. 60DWCh. A.8 - Prob. 61DWCh. A.8 - Prob. 62DWCh. A.8 - Prob. 63DWCh. A.9 - Prob. 1AYPCh. A.9 - Prob. 2AYPCh. A.9 - Prob. 3AYPCh. A.9 - Prob. 4AYPCh. A.9 - Prob. 5CVCh. A.9 - Prob. 6CVCh. A.9 - Prob. 7CVCh. A.9 - Prob. 8CVCh. A.9 - Prob. 9CVCh. A.9 - Prob. 10CVCh. A.9 - Prob. 11CVCh. A.9 - Prob. 12CVCh. A.9 - Prob. 13CVCh. A.9 - Prob. 14CVCh. A.9 - Prob. 15SBCh. A.9 - Prob. 16SBCh. A.9 - Prob. 17SBCh. A.9 - Prob. 18SBCh. A.9 - Prob. 19SBCh. A.9 - Prob. 20SBCh. A.9 - Prob. 21SBCh. A.9 - Prob. 22SBCh. A.9 - Prob. 23SBCh. A.9 - Prob. 24SBCh. A.9 - Prob. 25SBCh. A.9 - Prob. 26SBCh. A.9 - Prob. 27SBCh. A.9 - Prob. 28SBCh. A.9 - Prob. 29SBCh. A.9 - Prob. 30SBCh. A.9 - Prob. 31SBCh. A.9 - Prob. 32SBCh. A.9 - Prob. 33SBCh. A.9 - Prob. 34SBCh. A.9 - Prob. 35SBCh. A.9 - Prob. 36SBCh. A.9 - Prob. 37SBCh. A.9 - Prob. 38SBCh. A.9 - Prob. 39SBCh. A.9 - Prob. 40SBCh. A.9 - Prob. 41SBCh. A.9 - Prob. 42SBCh. A.9 - Prob. 43SBCh. A.9 - Prob. 44SBCh. A.9 - Prob. 45SBCh. A.9 - Prob. 46SBCh. A.9 - Prob. 47SBCh. A.9 - Prob. 48SBCh. A.9 - Prob. 49SBCh. A.9 - Prob. 50SBCh. A.9 - Prob. 51SBCh. A.9 - Prob. 52SBCh. A.9 - Prob. 53SBCh. A.9 - Prob. 54SBCh. A.9 - Prob. 55SBCh. A.9 - Prob. 56SBCh. A.9 - Prob. 57SBCh. A.9 - Prob. 58SBCh. A.9 - Prob. 59SBCh. A.9 - Prob. 60SBCh. A.9 - Prob. 61SBCh. A.9 - Prob. 62SBCh. A.9 - Prob. 63SBCh. A.9 - Prob. 64SBCh. A.9 - Prob. 65SBCh. A.9 - Prob. 66SBCh. A.9 - Prob. 67SBCh. A.9 - Prob. 68SBCh. A.9 - Prob. 69SBCh. A.9 - Prob. 70SBCh. A.9 - Prob. 71SBCh. A.9 - Prob. 72SBCh. A.9 - Prob. 73SBCh. A.9 - Prob. 74SBCh. A.9 - Prob. 75SBCh. A.9 - Prob. 76SBCh. A.9 - Prob. 77SBCh. A.9 - Prob. 78SBCh. A.9 - Prob. 79SBCh. A.9 - Prob. 80SBCh. A.9 - Prob. 81SBCh. A.9 - Prob. 82SBCh. A.9 - Prob. 83SBCh. A.9 - Prob. 84SBCh. A.9 - Prob. 85SBCh. A.9 - Prob. 86SBCh. A.9 - Prob. 87SBCh. A.9 - Prob. 88SBCh. A.9 - Prob. 89SBCh. A.9 - Prob. 90SBCh. A.9 - Prob. 91SBCh. A.9 - Prob. 92SBCh. A.9 - Prob. 93SBCh. A.9 - Prob. 94SBCh. A.9 - Prob. 95SBCh. A.9 - Prob. 96SBCh. A.9 - Prob. 97SBCh. A.9 - Prob. 98SBCh. A.9 - Prob. 99SBCh. A.9 - Prob. 100SBCh. A.9 - Prob. 101SBCh. A.9 - Prob. 102SBCh. A.9 - Prob. 103SBCh. A.9 - Prob. 104SBCh. A.9 - Prob. 105AECh. A.9 - Prob. 106AECh. A.9 - Prob. 107AECh. A.9 - Prob. 108AECh. A.9 - Prob. 109AECh. A.9 - Prob. 110AECh. A.9 - Prob. 111AECh. A.9 - Prob. 112AECh. A.9 - Prob. 113AECh. A.9 - Prob. 114AECh. A.9 - Prob. 115AECh. A.9 - Prob. 116AECh. A.9 - Prob. 117AECh. A.9 - Prob. 118AECh. A.9 - Prob. 119AECh. A.9 - Prob. 120AECh. A.9 - Prob. 121AECh. A.9 - Prob. 122AECh. A.9 - Prob. 123AECh. A.9 - Prob. 124AECh. A.9 - Prob. 125AECh. A.9 - Prob. 126AECh. A.9 - Prob. 127AECh. A.9 - Prob. 128AECh. A.9 - Prob. 129AECh. A.9 - Prob. 130AECh. A.9 - Prob. 131AECh. A.9 - Prob. 132DWCh. A.9 - Prob. 133DWCh. A.9 - Prob. 134DWCh. A.9 - Prob. 135DWCh. A.10 - Prob. 1AYPCh. A.10 - Prob. 2AYPCh. A.10 - Prob. 3CVCh. A.10 - Prob. 4CVCh. A.10 - Prob. 5CVCh. A.10 - Prob. 6CVCh. A.10 - Prob. 7CVCh. A.10 - Prob. 8CVCh. A.10 - Prob. 9CVCh. A.10 - Prob. 10CVCh. A.10 - Prob. 11SBCh. A.10 - Prob. 12SBCh. A.10 - Prob. 13SBCh. A.10 - Prob. 14SBCh. A.10 - Prob. 15SBCh. A.10 - Prob. 16SBCh. A.10 - Prob. 17SBCh. A.10 - Prob. 18SBCh. A.10 - Prob. 19SBCh. A.10 - Prob. 20SBCh. A.10 - Prob. 21SBCh. A.10 - Prob. 22SBCh. A.10 - Prob. 23SBCh. A.10 - Prob. 24SBCh. A.10 - Prob. 25SBCh. A.10 - Prob. 26SBCh. A.10 - Prob. 27SBCh. A.10 - Prob. 28SBCh. A.10 - Prob. 29SBCh. A.10 - Prob. 30SBCh. A.10 - Prob. 31SBCh. A.10 - Prob. 32SBCh. A.10 - Prob. 33SBCh. A.10 - Prob. 34SBCh. A.10 - Prob. 35SBCh. A.10 - Prob. 36SBCh. A.10 - Prob. 37SBCh. A.10 - Prob. 38SBCh. A.10 - Prob. 39SBCh. A.10 - Prob. 40SBCh. A.10 - Prob. 41SBCh. A.10 - Prob. 42SBCh. A.10 - Prob. 43SBCh. A.10 - Prob. 44SBCh. A.10 - Prob. 45SBCh. A.10 - Prob. 46SBCh. A.10 - Prob. 47SBCh. A.10 - Prob. 48SBCh. A.10 - Prob. 49SBCh. A.10 - Prob. 50SBCh. A.10 - Prob. 51SBCh. A.10 - Prob. 52SBCh. A.10 - Prob. 53SBCh. A.10 - Prob. 54SBCh. A.10 - Prob. 55SBCh. A.10 - Prob. 56SBCh. A.10 - Prob. 57SBCh. A.10 - Prob. 58SBCh. A.10 - Prob. 59SBCh. A.10 - Prob. 60SBCh. A.10 - Prob. 61SBCh. A.10 - Prob. 62SBCh. A.10 - Prob. 63SBCh. A.10 - Prob. 64SBCh. A.10 - Prob. 65SBCh. A.10 - Prob. 66SBCh. A.10 - Prob. 67SBCh. A.10 - Prob. 68SBCh. A.10 - Prob. 69SBCh. A.10 - Prob. 70SBCh. A.10 - Prob. 71SBCh. A.10 - Prob. 72SBCh. A.10 - Prob. 73SBCh. A.10 - Prob. 74SBCh. A.10 - Prob. 75SBCh. A.10 - Prob. 76SBCh. A.10 - Prob. 77SBCh. A.10 - Prob. 78SBCh. A.10 - Prob. 79SBCh. A.10 - Prob. 80SBCh. A.10 - Prob. 81SBCh. A.10 - Prob. 82SBCh. A.10 - Prob. 83SBCh. A.10 - Prob. 84SBCh. A.10 - Prob. 85SBCh. A.10 - Prob. 86SBCh. A.10 - Prob. 87SBCh. A.10 - Prob. 88SBCh. A.10 - Prob. 89SBCh. A.10 - Prob. 90SBCh. A.10 - Prob. 91SBCh. A.10 - Prob. 92SBCh. A.10 - Prob. 93SBCh. A.10 - Prob. 94SBCh. A.10 - Prob. 95SBCh. A.10 - Prob. 96SBCh. A.10 - Prob. 97SBCh. A.10 - Prob. 98SBCh. A.10 - Prob. 99AECh. A.10 - Prob. 100AECh. A.10 - Prob. 101AECh. A.10 - Prob. 102AECh. A.10 - Prob. 103AECh. A.10 - Prob. 104AECh. A.10 - Prob. 105AECh. A.10 - Prob. 106AECh. A.10 - Prob. 107AECh. A.10 - Prob. 108AECh. A.10 - Prob. 109AECh. A.10 - Prob. 110AECh. A.10 - Prob. 111AECh. A.10 - Prob. 112AECh. A.10 - Prob. 113AECh. A.10 - Prob. 114AECh. A.10 - Prob. 115AECh. A.10 - Prob. 116AECh. A.10 - Prob. 117AECh. A.10 - Prob. 118AECh. A.10 - Prob. 119AECh. A.10 - Prob. 120AECh. A.10 - Prob. 121AECh. A.10 - Prob. 122AECh. A.10 - Prob. 123AECh. A.10 - Prob. 124AECh. A.10 - Prob. 125AECh. A.10 - Prob. 126AECh. A.10 - Prob. 127DW
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