ALEKS CORPORATION ALEKS 360 IA BEG & INT
ALEKS CORPORATION ALEKS 360 IA BEG & INT
6th Edition
ISBN: 9781264242221
Author: Miller
Publisher: MCG
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Chapter 15.9, Problem 26PE
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I've been struggling with this because of how close the numbers are together!! I would really appreciate if someone could help me❤️
Matrix MЄ R4×4, as specified below, is an orthogonal matrix - thus, it fulfills MTM = I. M (ELES),- m2,1. We know also that all the six unknowns mr,c are non-negative with the exception of Your first task is to find the values of all the six unknowns. Think first, which of the mr,c you should find first. Next, consider a vector v = (-6, 0, 0, 8) T. What's the length of v, i.e., |v|? Using M as transformation matrix, map v onto w by w = Mv provide w with its numeric values. What's the length of w, especially when comparing it to the length of v? Finally, consider another vector p = ( 0, 0, 8, 6) T. What's the angle between v (from above) and p? Using M as transformation matrix, map p onto q by q = Mp - provide q with its numeric values. What's the angle between w and q, especially when comparing it to the angle between v and p?
7. (a) (i) Express y=-x²-7x-15 in the form y = −(x+p)²+q. (ii) Hence, sketch the graph of y=-x²-7x-15. (b) (i) Express y = x² - 3x + 4 in the form y = (x − p)²+q. (ii) Hence, sketch the graph of y = x² - 3x + 4. 28 CHAPTER 1

Chapter 15 Solutions

ALEKS CORPORATION ALEKS 360 IA BEG & INT

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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