BEGINNING+INTERM.ALG.(LL) >CUSTOM PKG.<
BEGINNING+INTERM.ALG.(LL) >CUSTOM PKG.<
6th Edition
ISBN: 9781266148941
Author: Miller
Publisher: MCG CUSTOM
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Chapter 15.2, Problem 103PE
To determine

To Find: The area of the shaded region.

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You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methods
Plane II is spanned by the vectors: - (2) · P² - (4) P1=2 P21 3 Subspace W is spanned by the vectors: 2 W1 - (9) · 1 W2 1 = (³)
show that v3 =  (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say? find v42 so that v4 = ( 2/5, v42, 1)⊤ is an eigenvector of M4 with corresp. eigenvalue λ4 = 45

Chapter 15 Solutions

BEGINNING+INTERM.ALG.(LL) >CUSTOM PKG.<

Ch. 15.1 - Prob. 2PECh. 15.1 - Prob. 3PECh. 15.1 - Prob. 4PECh. 15.1 - Prob. 5PECh. 15.1 - Prob. 6PECh. 15.1 - Prob. 7PECh. 15.1 - Prob. 8PECh. 15.1 - Prob. 9PECh. 15.1 - Prob. 10PECh. 15.1 - Prob. 11PECh. 15.1 - Prob. 12PECh. 15.1 - Prob. 13PECh. 15.1 - Prob. 14PECh. 15.1 - Prob. 15PECh. 15.1 - Prob. 16PECh. 15.1 - Prob. 17PECh. 15.1 - Prob. 18PECh. 15.1 - Prob. 19PECh. 15.1 - Prob. 20PECh. 15.1 - Prob. 21PECh. 15.1 - Prob. 22PECh. 15.1 - Prob. 23PECh. 15.1 - Prob. 24PECh. 15.1 - Prob. 25PECh. 15.1 - Prob. 26PECh. 15.1 - Prob. 27PECh. 15.1 - Prob. 28PECh. 15.1 - Prob. 29PECh. 15.1 - Prob. 30PECh. 15.1 - Prob. 31PECh. 15.1 - Prob. 32PECh. 15.1 - Prob. 33PECh. 15.1 - Prob. 34PECh. 15.1 - Prob. 35PECh. 15.1 - Prob. 36PECh. 15.1 - Prob. 37PECh. 15.1 - Prob. 38PECh. 15.1 - Prob. 39PECh. 15.1 - Prob. 40PECh. 15.1 - Prob. 41PECh. 15.1 - Prob. 42PECh. 15.1 - Prob. 43PECh. 15.1 - Prob. 44PECh. 15.1 - Prob. 45PECh. 15.1 - Prob. 46PECh. 15.1 - Prob. 47PECh. 15.1 - Prob. 48PECh. 15.1 - Prob. 49PECh. 15.2 - Prob. 1SPCh. 15.2 - Prob. 2SPCh. 15.2 - Prob. 3SPCh. 15.2 - Prob. 4SPCh. 15.2 - Prob. 5SPCh. 15.2 - Prob. 6SPCh. 15.2 - Prob. 7SPCh. 15.2 - Prob. 8SPCh. 15.2 - Prob. 9SPCh. 15.2 - Prob. 10SPCh. 15.2 - Prob. 11SPCh. 15.2 - Prob. 12SPCh. 15.2 - Prob. 13SPCh. 15.2 - Prob. 14SPCh. 15.2 - Prob. 1PECh. 15.2 - Prob. 2PECh. 15.2 - Prob. 3PECh. 15.2 - Prob. 4PECh. 15.2 - Prob. 5PECh. 15.2 - Prob. 6PECh. 15.2 - Prob. 7PECh. 15.2 - Prob. 8PECh. 15.2 - Prob. 9PECh. 15.2 - Prob. 10PECh. 15.2 - Prob. 11PECh. 15.2 - Prob. 12PECh. 15.2 - Prob. 13PECh. 15.2 - Prob. 14PECh. 15.2 - Prob. 15PECh. 15.2 - Prob. 16PECh. 15.2 - Prob. 17PECh. 15.2 - Prob. 18PECh. 15.2 - Prob. 19PECh. 15.2 - Prob. 20PECh. 15.2 - Prob. 21PECh. 15.2 - Prob. 22PECh. 15.2 - Prob. 23PECh. 15.2 - Prob. 24PECh. 15.2 - Prob. 25PECh. 15.2 - Prob. 26PECh. 15.2 - Prob. 27PECh. 15.2 - Prob. 28PECh. 15.2 - Prob. 29PECh. 15.2 - Prob. 30PECh. 15.2 - Prob. 31PECh. 15.2 - Prob. 32PECh. 15.2 - Prob. 33PECh. 15.2 - Prob. 34PECh. 15.2 - Prob. 35PECh. 15.2 - Prob. 36PECh. 15.2 - Prob. 37PECh. 15.2 - Prob. 38PECh. 15.2 - Prob. 39PECh. 15.2 - Prob. 40PECh. 15.2 - Prob. 41PECh. 15.2 - Prob. 42PECh. 15.2 - Prob. 43PECh. 15.2 - Prob. 44PECh. 15.2 - Prob. 45PECh. 15.2 - Prob. 46PECh. 15.2 - Prob. 47PECh. 15.2 - Prob. 48PECh. 15.2 - Prob. 49PECh. 15.2 - Prob. 50PECh. 15.2 - Prob. 51PECh. 15.2 - Prob. 52PECh. 15.2 - Prob. 53PECh. 15.2 - Prob. 54PECh. 15.2 - Prob. 55PECh. 15.2 - Prob. 56PECh. 15.2 - Prob. 57PECh. 15.2 - Prob. 58PECh. 15.2 - Prob. 59PECh. 15.2 - Prob. 60PECh. 15.2 - Prob. 61PECh. 15.2 - Prob. 62PECh. 15.2 - Prob. 63PECh. 15.2 - Prob. 64PECh. 15.2 - Prob. 65PECh. 15.2 - Prob. 66PECh. 15.2 - Prob. 67PECh. 15.2 - Prob. 68PECh. 15.2 - Prob. 69PECh. 15.2 - Prob. 70PECh. 15.2 - Prob. 71PECh. 15.2 - Prob. 72PECh. 15.2 - Prob. 73PECh. 15.2 - Prob. 74PECh. 15.2 - Prob. 75PECh. 15.2 - Prob. 76PECh. 15.2 - Prob. 77PECh. 15.2 - Prob. 78PECh. 15.2 - Prob. 79PECh. 15.2 - Prob. 80PECh. 15.2 - Prob. 81PECh. 15.2 - Prob. 82PECh. 15.2 - Prob. 83PECh. 15.2 - Prob. 84PECh. 15.2 - Prob. 85PECh. 15.2 - Prob. 86PECh. 15.2 - Prob. 87PECh. 15.2 - Prob. 88PECh. 15.2 - Prob. 89PECh. 15.2 - Prob. 90PECh. 15.2 - Prob. 91PECh. 15.2 - Prob. 92PECh. 15.2 - Prob. 93PECh. 15.2 - Prob. 94PECh. 15.2 - Prob. 95PECh. 15.2 - Prob. 96PECh. 15.2 - Prob. 97PECh. 15.2 - Prob. 98PECh. 15.2 - Prob. 99PECh. 15.2 - Prob. 100PECh. 15.2 - Prob. 101PECh. 15.2 - Prob. 102PECh. 15.2 - Prob. 103PECh. 15.2 - Prob. 104PECh. 15.2 - Prob. 105PECh. 15.2 - Prob. 106PECh. 15.3 - Prob. 1SPCh. 15.3 - Prob. 2SPCh. 15.3 - Prob. 3SPCh. 15.3 - Prob. 4SPCh. 15.3 - Prob. 5SPCh. 15.3 - Prob. 1PECh. 15.3 - Prob. 2PECh. 15.3 - Prob. 3PECh. 15.3 - Prob. 4PECh. 15.3 - Prob. 5PECh. 15.3 - Prob. 6PECh. 15.3 - Prob. 7PECh. 15.3 - Prob. 8PECh. 15.3 - Prob. 9PECh. 15.3 - Prob. 10PECh. 15.3 - Prob. 11PECh. 15.3 - Prob. 12PECh. 15.3 - Prob. 13PECh. 15.3 - Prob. 14PECh. 15.3 - Prob. 15PECh. 15.3 - Prob. 16PECh. 15.3 - Prob. 17PECh. 15.3 - Prob. 18PECh. 15.3 - Prob. 19PECh. 15.3 - Prob. 20PECh. 15.3 - Prob. 21PECh. 15.3 - Prob. 22PECh. 15.3 - Prob. 23PECh. 15.3 - Prob. 24PECh. 15.3 - Prob. 25PECh. 15.3 - Prob. 26PECh. 15.3 - Prob. 27PECh. 15.3 - Prob. 28PECh. 15.3 - Prob. 29PECh. 15.3 - Prob. 30PECh. 15.3 - Prob. 31PECh. 15.3 - Prob. 32PECh. 15.3 - Prob. 33PECh. 15.3 - Prob. 34PECh. 15.3 - Prob. 35PECh. 15.3 - Prob. 36PECh. 15.3 - Prob. 37PECh. 15.3 - Prob. 38PECh. 15.3 - Prob. 39PECh. 15.3 - Prob. 40PECh. 15.3 - Prob. 41PECh. 15.3 - Prob. 42PECh. 15.3 - Prob. 43PECh. 15.3 - Prob. 44PECh. 15.3 - Prob. 45PECh. 15.3 - Prob. 46PECh. 15.3 - Prob. 47PECh. 15.3 - Prob. 48PECh. 15.3 - Prob. 49PECh. 15.3 - Prob. 50PECh. 15.3 - Prob. 51PECh. 15.3 - Prob. 52PECh. 15.3 - Prob. 53PECh. 15.3 - Prob. 54PECh. 15.3 - Prob. 55PECh. 15.3 - Prob. 56PECh. 15.3 - Prob. 57PECh. 15.3 - Prob. 58PECh. 15.3 - Prob. 59PECh. 15.3 - Prob. 60PECh. 15.3 - Prob. 61PECh. 15.3 - Prob. 62PECh. 15.3 - Prob. 63PECh. 15.3 - Prob. 64PECh. 15.3 - Prob. 65PECh. 15.3 - Prob. 66PECh. 15.3 - Prob. 67PECh. 15.3 - Prob. 68PECh. 15.4 - Prob. 1SPCh. 15.4 - Prob. 2SPCh. 15.4 - Prob. 3SPCh. 15.4 - Prob. 4SPCh. 15.4 - Prob. 5SPCh. 15.4 - Prob. 6SPCh. 15.4 - Prob. 7SPCh. 15.4 - Prob. 8SPCh. 15.4 - Prob. 9SPCh. 15.4 - Prob. 10SPCh. 15.4 - Prob. 11SPCh. 15.4 - Prob. 12SPCh. 15.4 - Prob. 13SPCh. 15.4 - Prob. 1PECh. 15.4 - Prob. 2PECh. 15.4 - Prob. 3PECh. 15.4 - Prob. 4PECh. 15.4 - Prob. 5PECh. 15.4 - Prob. 6PECh. 15.4 - Prob. 7PECh. 15.4 - Prob. 8PECh. 15.4 - Prob. 9PECh. 15.4 - Prob. 10PECh. 15.4 - Prob. 11PECh. 15.4 - Prob. 12PECh. 15.4 - Prob. 13PECh. 15.4 - Prob. 14PECh. 15.4 - Prob. 15PECh. 15.4 - Prob. 16PECh. 15.4 - Prob. 17PECh. 15.4 - Prob. 18PECh. 15.4 - Prob. 19PECh. 15.4 - Prob. 20PECh. 15.4 - Prob. 21PECh. 15.4 - Prob. 22PECh. 15.4 - Prob. 23PECh. 15.4 - Prob. 24PECh. 15.4 - Prob. 25PECh. 15.4 - Prob. 26PECh. 15.4 - Prob. 27PECh. 15.4 - Prob. 28PECh. 15.4 - Prob. 29PECh. 15.4 - Prob. 30PECh. 15.4 - Prob. 31PECh. 15.4 - Prob. 32PECh. 15.4 - Prob. 33PECh. 15.4 - Prob. 34PECh. 15.4 - Prob. 35PECh. 15.4 - Prob. 36PECh. 15.4 - Prob. 37PECh. 15.4 - Prob. 38PECh. 15.4 - Prob. 39PECh. 15.4 - Prob. 40PECh. 15.4 - Prob. 41PECh. 15.4 - Prob. 42PECh. 15.4 - Prob. 43PECh. 15.4 - Prob. 44PECh. 15.4 - Prob. 45PECh. 15.4 - Prob. 46PECh. 15.4 - Prob. 47PECh. 15.4 - Prob. 48PECh. 15.4 - Prob. 49PECh. 15.4 - Prob. 50PECh. 15.4 - Prob. 51PECh. 15.4 - Prob. 52PECh. 15.4 - Prob. 53PECh. 15.4 - Prob. 54PECh. 15.4 - Prob. 55PECh. 15.4 - Prob. 56PECh. 15.4 - Prob. 57PECh. 15.4 - Prob. 58PECh. 15.4 - Prob. 59PECh. 15.4 - Prob. 60PECh. 15.4 - Prob. 61PECh. 15.4 - Prob. 62PECh. 15.5 - Prob. 1SPCh. 15.5 - Prob. 2SPCh. 15.5 - Prob. 3SPCh. 15.5 - Prob. 4SPCh. 15.5 - Prob. 5SPCh. 15.5 - Prob. 6SPCh. 15.5 - Prob. 7SPCh. 15.5 - Prob. 8SPCh. 15.5 - Prob. 9SPCh. 15.5 - Prob. 1PECh. 15.5 - Prob. 2PECh. 15.5 - Prob. 3PECh. 15.5 - Prob. 4PECh. 15.5 - Prob. 5PECh. 15.5 - Prob. 6PECh. 15.5 - Prob. 7PECh. 15.5 - Prob. 8PECh. 15.5 - Prob. 9PECh. 15.5 - Prob. 10PECh. 15.5 - Prob. 11PECh. 15.5 - Prob. 12PECh. 15.5 - Prob. 13PECh. 15.5 - Prob. 14PECh. 15.5 - Prob. 15PECh. 15.5 - Prob. 16PECh. 15.5 - Prob. 17PECh. 15.5 - Prob. 18PECh. 15.5 - Prob. 19PECh. 15.5 - Prob. 20PECh. 15.5 - Prob. 21PECh. 15.5 - Prob. 22PECh. 15.5 - Prob. 23PECh. 15.5 - Prob. 24PECh. 15.5 - Prob. 25PECh. 15.5 - Prob. 26PECh. 15.5 - Prob. 27PECh. 15.5 - Prob. 28PECh. 15.5 - Prob. 29PECh. 15.5 - Prob. 30PECh. 15.5 - Prob. 31PECh. 15.5 - Prob. 32PECh. 15.5 - Prob. 33PECh. 15.5 - Prob. 34PECh. 15.5 - Prob. 35PECh. 15.5 - Prob. 36PECh. 15.5 - Prob. 37PECh. 15.5 - Prob. 38PECh. 15.5 - Prob. 39PECh. 15.5 - Prob. 40PECh. 15.5 - Prob. 41PECh. 15.5 - Prob. 42PECh. 15.5 - Prob. 43PECh. 15.5 - Prob. 44PECh. 15.5 - Prob. 45PECh. 15.5 - Prob. 46PECh. 15.5 - Prob. 47PECh. 15.5 - Prob. 48PECh. 15.5 - Prob. 49PECh. 15.5 - Prob. 50PECh. 15.5 - Prob. 51PECh. 15.5 - Prob. 52PECh. 15.5 - Prob. 53PECh. 15.5 - Prob. 54PECh. 15.5 - Prob. 55PECh. 15.5 - Prob. 56PECh. 15.5 - Prob. 57PECh. 15.5 - Prob. 58PECh. 15.5 - Prob. 59PECh. 15.5 - Prob. 60PECh. 15.5 - Prob. 61PECh. 15.5 - Prob. 62PECh. 15.5 - Prob. 63PECh. 15.5 - Prob. 64PECh. 15.5 - Prob. 65PECh. 15.5 - Prob. 66PECh. 15.5 - Prob. 67PECh. 15.5 - Prob. 68PECh. 15.5 - Prob. 69PECh. 15.5 - Prob. 70PECh. 15.5 - Prob. 71PECh. 15.5 - Prob. 72PECh. 15.6 - Prob. 1SPCh. 15.6 - Prob. 2SPCh. 15.6 - Prob. 3SPCh. 15.6 - Prob. 4SPCh. 15.6 - Prob. 5SPCh. 15.6 - Prob. 6SPCh. 15.6 - Prob. 7SPCh. 15.6 - Prob. 8SPCh. 15.6 - Prob. 9SPCh. 15.6 - Prob. 10SPCh. 15.6 - Prob. 11SPCh. 15.6 - Prob. 1PECh. 15.6 - Prob. 2PECh. 15.6 - Prob. 3PECh. 15.6 - Prob. 4PECh. 15.6 - Prob. 5PECh. 15.6 - Prob. 6PECh. 15.6 - Prob. 7PECh. 15.6 - Prob. 8PECh. 15.6 - Prob. 9PECh. 15.6 - Prob. 10PECh. 15.6 - Prob. 11PECh. 15.6 - Prob. 12PECh. 15.6 - Prob. 13PECh. 15.6 - Prob. 14PECh. 15.6 - Prob. 15PECh. 15.6 - Prob. 16PECh. 15.6 - Prob. 17PECh. 15.6 - Prob. 18PECh. 15.6 - Prob. 19PECh. 15.6 - Prob. 20PECh. 15.6 - Prob. 21PECh. 15.6 - Prob. 22PECh. 15.6 - Prob. 23PECh. 15.6 - Prob. 24PECh. 15.6 - Prob. 25PECh. 15.6 - Prob. 26PECh. 15.6 - Prob. 27PECh. 15.6 - Prob. 28PECh. 15.6 - Prob. 29PECh. 15.6 - Prob. 30PECh. 15.6 - Prob. 31PECh. 15.6 - Prob. 32PECh. 15.6 - Prob. 33PECh. 15.6 - Prob. 34PECh. 15.6 - Prob. 35PECh. 15.6 - Prob. 36PECh. 15.6 - Prob. 37PECh. 15.6 - Prob. 38PECh. 15.6 - Prob. 39PECh. 15.6 - Prob. 40PECh. 15.6 - Prob. 41PECh. 15.6 - Prob. 42PECh. 15.6 - Prob. 43PECh. 15.6 - Prob. 44PECh. 15.6 - Prob. 45PECh. 15.6 - Prob. 46PECh. 15.6 - Prob. 47PECh. 15.6 - Prob. 48PECh. 15.6 - Prob. 49PECh. 15.6 - Prob. 50PECh. 15.6 - Prob. 51PECh. 15.6 - Prob. 52PECh. 15.6 - Prob. 53PECh. 15.6 - Prob. 54PECh. 15.6 - Prob. 55PECh. 15.6 - Prob. 56PECh. 15.7 - Prob. 1SPCh. 15.7 - Prob. 2SPCh. 15.7 - Prob. 3SPCh. 15.7 - Prob. 4SPCh. 15.7 - Prob. 5SPCh. 15.7 - Prob. 6SPCh. 15.7 - Prob. 7SPCh. 15.7 - Prob. 1PECh. 15.7 - Prob. 2PECh. 15.7 - Prob. 3PECh. 15.7 - Prob. 4PECh. 15.7 - Prob. 5PECh. 15.7 - Prob. 6PECh. 15.7 - Prob. 7PECh. 15.7 - Prob. 8PECh. 15.7 - Prob. 9PECh. 15.7 - Prob. 10PECh. 15.7 - Prob. 11PECh. 15.7 - Prob. 12PECh. 15.7 - Prob. 13PECh. 15.7 - Prob. 14PECh. 15.7 - Prob. 15PECh. 15.7 - Prob. 16PECh. 15.7 - Prob. 17PECh. 15.7 - Prob. 18PECh. 15.7 - Prob. 19PECh. 15.7 - Prob. 20PECh. 15.7 - Prob. 21PECh. 15.7 - Prob. 22PECh. 15.7 - Prob. 23PECh. 15.7 - Prob. 24PECh. 15.7 - Prob. 25PECh. 15.7 - Prob. 26PECh. 15.7 - Prob. 27PECh. 15.7 - Prob. 28PECh. 15.7 - Prob. 29PECh. 15.7 - Prob. 30PECh. 15.7 - Prob. 31PECh. 15.7 - Prob. 32PECh. 15.7 - Prob. 33PECh. 15.7 - Prob. 34PECh. 15.7 - Prob. 35PECh. 15.7 - Prob. 36PECh. 15.7 - Prob. 37PECh. 15.7 - Prob. 38PECh. 15.7 - Prob. 39PECh. 15.7 - Prob. 40PECh. 15.7 - Prob. 41PECh. 15.7 - Prob. 42PECh. 15.7 - Prob. 43PECh. 15.7 - Prob. 44PECh. 15.7 - Prob. 45PECh. 15.7 - Prob. 46PECh. 15.7 - Prob. 47PECh. 15.7 - Prob. 48PECh. 15.7 - Prob. 49PECh. 15.7 - Prob. 50PECh. 15.7 - Prob. 51PECh. 15.7 - Prob. 52PECh. 15.7 - Prob. 53PECh. 15.7 - Prob. 54PECh. 15.7 - Prob. 55PECh. 15.7 - Prob. 56PECh. 15.7 - Prob. 57PECh. 15.7 - Prob. 58PECh. 15.7 - Prob. 59PECh. 15.7 - Prob. 60PECh. 15.7 - Prob. 61PECh. 15.7 - Prob. 62PECh. 15.7 - Prob. 63PECh. 15.7 - Prob. 64PECh. 15.7 - Prob. 65PECh. 15.7 - Prob. 66PECh. 15.7 - Prob. 67PECh. 15.7 - Prob. 68PECh. 15.7 - Prob. 69PECh. 15.7 - Prob. 70PECh. 15.7 - Prob. 71PECh. 15.7 - Prob. 72PECh. 15.7 - Prob. 73PECh. 15.7 - Prob. 74PECh. 15.8 - Prob. 1SPCh. 15.8 - Prob. 2SPCh. 15.8 - Prob. 3SPCh. 15.8 - Prob. 4SPCh. 15.8 - Prob. 5SPCh. 15.8 - Prob. 1PECh. 15.8 - Prob. 2PECh. 15.8 - Prob. 3PECh. 15.8 - Prob. 4PECh. 15.8 - Prob. 5PECh. 15.8 - Prob. 6PECh. 15.8 - Prob. 7PECh. 15.8 - Prob. 8PECh. 15.8 - Prob. 9PECh. 15.8 - Prob. 10PECh. 15.8 - Prob. 11PECh. 15.8 - Prob. 12PECh. 15.8 - Prob. 13PECh. 15.8 - Prob. 14PECh. 15.8 - Prob. 15PECh. 15.8 - Prob. 16PECh. 15.8 - Prob. 17PECh. 15.8 - Prob. 18PECh. 15.8 - Prob. 19PECh. 15.8 - Prob. 20PECh. 15.8 - Prob. 21PECh. 15.8 - Prob. 22PECh. 15.8 - Prob. 23PECh. 15.8 - Prob. 24PECh. 15.8 - Prob. 25PECh. 15.8 - Prob. 26PECh. 15.8 - Prob. 27PECh. 15.8 - Prob. 28PECh. 15.8 - Prob. 29PECh. 15.8 - Prob. 30PECh. 15.8 - Prob. 31PECh. 15.8 - Prob. 32PECh. 15.8 - Prob. 33PECh. 15.8 - Prob. 34PECh. 15.8 - Prob. 35PECh. 15.8 - Prob. 36PECh. 15.8 - Prob. 37PECh. 15.8 - Prob. 38PECh. 15.8 - Prob. 39PECh. 15.8 - Prob. 40PECh. 15.8 - Prob. 41PECh. 15.8 - Prob. 42PECh. 15.8 - Prob. 43PECh. 15.8 - Prob. 44PECh. 15.8 - Prob. 45PECh. 15.8 - Prob. 46PECh. 15.8 - Prob. 47PECh. 15.8 - Prob. 48PECh. 15.8 - Prob. 49PECh. 15.9 - Prob. 1SPCh. 15.9 - Prob. 2SPCh. 15.9 - Prob. 3SPCh. 15.9 - Prob. 4SPCh. 15.9 - Prob. 1PECh. 15.9 - Prob. 2PECh. 15.9 - Prob. 3PECh. 15.9 - Prob. 4PECh. 15.9 - Prob. 5PECh. 15.9 - Prob. 6PECh. 15.9 - Prob. 7PECh. 15.9 - Prob. 8PECh. 15.9 - Prob. 9PECh. 15.9 - Prob. 10PECh. 15.9 - Prob. 11PECh. 15.9 - Prob. 12PECh. 15.9 - Prob. 13PECh. 15.9 - Prob. 14PECh. 15.9 - Prob. 15PECh. 15.9 - Prob. 16PECh. 15.9 - Prob. 17PECh. 15.9 - Prob. 18PECh. 15.9 - Prob. 19PECh. 15.9 - Prob. 20PECh. 15.9 - Prob. 21PECh. 15.9 - Prob. 22PECh. 15.9 - Prob. 23PECh. 15.9 - Prob. 24PECh. 15.9 - Prob. 25PECh. 15.9 - Prob. 26PECh. 15.9 - Prob. 27PECh. 15.9 - Prob. 28PECh. 15.9 - Prob. 29PECh. 15.9 - Prob. 30PECh. 15.9 - Prob. 31PECh. 15.9 - Prob. 32PECh. 15.9 - Prob. 33PECh. 15.9 - Prob. 34PECh. 15.9 - Prob. 35PECh. 15.9 - Prob. 36PECh. 15.9 - Prob. 37PECh. 15.9 - Prob. 38PECh. 15.9 - Prob. 39PECh. 15.9 - Prob. 40PECh. 15.9 - Prob. 41PECh. 15.9 - Prob. 42PECh. 15.9 - Prob. 43PECh. 15.9 - Prob. 44PECh. 15.9 - Prob. 45PECh. 15.9 - Prob. 46PECh. 15.9 - Prob. 47PECh. 15.9 - Prob. 48PECh. 15.9 - Prob. 49PECh. 15.9 - Prob. 50PECh. 15.9 - Prob. 51PECh. 15.9 - Prob. 52PECh. 15.9 - Prob. 53PECh. 15.9 - Prob. 54PECh. 15.9 - Prob. 55PECh. 15.9 - Prob. 56PECh. 15.9 - Prob. 57PECh. 15.9 - Prob. 58PECh. 15.9 - Prob. 59PECh. 15.9 - Prob. 60PE
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