ALEKS CORPORATION ALEKS 360 IA BEG & INT
6th Edition
ISBN: 9781264242221
Author: Miller
Publisher: MCG
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Chapter A.7, Problem 42PE
To determine
To simplify: Simplify the complex fraction
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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.
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CHAPTER 1
Part 1 and 2
Chapter A Solutions
ALEKS CORPORATION ALEKS 360 IA BEG & INT
Ch. A.1 - Prob. 1PECh. A.1 - Prob. 2PECh. A.1 - Prob. 3PECh. A.1 - Prob. 4PECh. A.1 - Prob. 5PECh. A.1 - Prob. 6PECh. A.1 - Prob. 7PECh. A.1 - Prob. 8PECh. A.1 - Prob. 9PECh. A.1 - Prob. 10PE
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A.2 - Prob. 34PECh. A.2 - Prob. 35PECh. A.2 - Prob. 36PECh. A.2 - Prob. 37PECh. A.2 - Prob. 38PECh. A.2 - Prob. 39PECh. A.2 - Prob. 40PECh. A.2 - Prob. 41PECh. A.2 - Prob. 42PECh. A.2 - Prob. 43PECh. A.2 - Prob. 44PECh. A.2 - Prob. 45PECh. A.2 - Prob. 46PECh. A.2 - Prob. 47PECh. A.2 - Prob. 48PECh. A.2 - Prob. 49PECh. A.2 - Prob. 50PECh. A.2 - Prob. 51PECh. A.2 - Prob. 52PECh. A.2 - Prob. 53PECh. A.2 - Prob. 54PECh. A.2 - Prob. 55PECh. A.2 - Prob. 56PECh. A.3 - Prob. 1PECh. A.3 - Prob. 2PECh. A.3 - Prob. 3PECh. A.3 - Prob. 4PECh. A.3 - Prob. 5PECh. A.3 - Prob. 6PECh. A.3 - Prob. 7PECh. A.3 - Prob. 8PECh. A.3 - Prob. 9PECh. A.3 - Prob. 10PECh. A.3 - Prob. 11PECh. A.3 - Prob. 12PECh. A.3 - Prob. 13PECh. A.3 - Prob. 14PECh. A.3 - Prob. 15PECh. A.3 - Prob. 16PECh. A.3 - Prob. 17PECh. A.3 - Prob. 18PECh. A.3 - Prob. 19PECh. A.3 - Prob. 20PECh. A.3 - Prob. 21PECh. A.3 - Prob. 22PECh. A.3 - Prob. 23PECh. A.3 - Prob. 24PECh. A.3 - Prob. 25PECh. A.3 - Prob. 26PECh. A.3 - Prob. 27PECh. A.3 - Prob. 28PECh. A.3 - Prob. 29PECh. A.3 - Prob. 30PECh. A.3 - Prob. 31PECh. A.3 - Prob. 32PECh. A.3 - Prob. 33PECh. A.3 - Prob. 34PECh. A.3 - Prob. 35PECh. A.3 - Prob. 36PECh. A.3 - Prob. 37PECh. A.3 - Prob. 38PECh. A.3 - Prob. 39PECh. A.3 - Prob. 40PECh. A.3 - Prob. 41PECh. A.3 - Prob. 42PECh. A.3 - Prob. 43PECh. A.3 - Prob. 44PECh. A.3 - Prob. 45PECh. A.3 - Prob. 46PECh. A.3 - Prob. 47PECh. A.3 - Prob. 48PECh. A.3 - Prob. 49PECh. A.3 - Prob. 50PECh. A.3 - Prob. 51PECh. A.3 - Prob. 52PECh. A.3 - Prob. 53PECh. A.3 - Prob. 54PECh. A.3 - Prob. 55PECh. A.3 - Prob. 56PECh. A.3 - Prob. 57PECh. A.3 - Prob. 58PECh. A.3 - Prob. 59PECh. A.3 - Prob. 60PECh. A.3 - Prob. 61PECh. A.3 - Prob. 62PECh. A.3 - Prob. 63PECh. A.3 - Prob. 64PECh. A.3 - Prob. 65PECh. A.3 - Prob. 66PECh. A.3 - Prob. 67PECh. A.3 - Prob. 68PECh. A.3 - Prob. 69PECh. A.3 - Prob. 70PECh. A.3 - Prob. 71PECh. A.3 - Prob. 72PECh. A.3 - Prob. 73PECh. A.3 - Prob. 74PECh. A.3 - Prob. 75PECh. A.3 - Prob. 76PECh. A.3 - Prob. 77PECh. A.3 - Prob. 78PECh. A.3 - Prob. 79PECh. A.3 - Prob. 80PECh. A.3 - Prob. 81PECh. A.3 - Prob. 82PECh. A.3 - Prob. 83PECh. A.3 - Prob. 84PECh. A.3 - Prob. 85PECh. A.3 - Prob. 86PECh. A.3 - Prob. 87PECh. A.3 - Prob. 88PECh. A.3 - Prob. 89PECh. A.3 - Prob. 90PECh. A.3 - Prob. 91PECh. A.3 - Prob. 92PECh. A.4 - Prob. 1PECh. A.4 - Prob. 2PECh. A.4 - Prob. 3PECh. A.4 - Prob. 4PECh. A.4 - Prob. 5PECh. A.4 - Prob. 6PECh. A.4 - Prob. 7PECh. A.4 - Prob. 8PECh. A.4 - Prob. 9PECh. A.4 - Prob. 10PECh. A.4 - Prob. 11PECh. A.4 - Prob. 12PECh. A.4 - Prob. 13PECh. A.4 - Prob. 14PECh. A.4 - Prob. 15PECh. A.4 - Prob. 16PECh. A.4 - Prob. 17PECh. A.4 - Prob. 18PECh. A.4 - Prob. 19PECh. A.4 - Prob. 20PECh. A.4 - Prob. 21PECh. A.4 - Prob. 22PECh. A.4 - Prob. 23PECh. A.4 - Prob. 24PECh. A.4 - Prob. 25PECh. A.4 - Prob. 26PECh. A.4 - Prob. 27PECh. A.4 - Prob. 28PECh. A.4 - Prob. 29PECh. A.4 - Prob. 30PECh. A.5 - Prob. 1PECh. A.5 - Prob. 2PECh. A.5 - Prob. 3PECh. A.5 - Prob. 4PECh. A.5 - Prob. 5PECh. A.5 - Prob. 6PECh. A.5 - Prob. 7PECh. A.5 - Prob. 8PECh. A.5 - Prob. 9PECh. A.5 - Prob. 10PECh. A.5 - Prob. 11PECh. A.5 - Prob. 12PECh. A.5 - Prob. 13PECh. A.5 - Prob. 14PECh. A.5 - Prob. 15PECh. A.5 - Prob. 16PECh. A.5 - Prob. 17PECh. A.5 - Prob. 18PECh. A.5 - Prob. 19PECh. A.5 - Prob. 20PECh. A.5 - Prob. 21PECh. A.5 - Prob. 22PECh. A.5 - Prob. 23PECh. A.5 - Prob. 24PECh. A.5 - Prob. 25PECh. A.5 - Prob. 26PECh. A.5 - Prob. 27PECh. A.5 - Prob. 28PECh. A.5 - Prob. 29PECh. A.5 - Prob. 30PECh. A.5 - Prob. 31PECh. A.5 - Prob. 32PECh. A.5 - Prob. 33PECh. A.5 - Prob. 34PECh. A.5 - Prob. 35PECh. A.5 - Prob. 36PECh. A.5 - Prob. 37PECh. A.5 - Prob. 38PECh. A.5 - Prob. 39PECh. A.5 - Prob. 40PECh. A.5 - Prob. 41PECh. A.5 - Prob. 42PECh. A.5 - Prob. 43PECh. A.5 - Prob. 44PECh. A.5 - Prob. 45PECh. A.5 - Prob. 46PECh. A.5 - Prob. 47PECh. A.5 - Prob. 48PECh. A.5 - Prob. 49PECh. A.5 - Prob. 50PECh. A.5 - Prob. 51PECh. A.5 - Prob. 52PECh. A.5 - Prob. 53PECh. A.5 - Prob. 54PECh. A.5 - Prob. 55PECh. A.5 - Prob. 56PECh. A.5 - Prob. 57PECh. A.5 - Prob. 58PECh. A.5 - Prob. 59PECh. A.5 - Prob. 60PECh. A.5 - Prob. 61PECh. A.5 - Prob. 62PECh. A.5 - Prob. 63PECh. A.5 - Prob. 64PECh. A.5 - Prob. 65PECh. A.5 - Prob. 66PECh. A.5 - Prob. 67PECh. A.5 - Prob. 68PECh. A.5 - Prob. 69PECh. A.5 - Prob. 70PECh. A.5 - Prob. 71PECh. A.5 - Prob. 72PECh. A.5 - Prob. 73PECh. A.5 - Prob. 74PECh. A.5 - Prob. 75PECh. A.5 - Prob. 76PECh. A.6 - Prob. 1PECh. A.6 - Prob. 2PECh. A.6 - Prob. 3PECh. A.6 - Prob. 4PECh. A.6 - Prob. 5PECh. A.6 - Prob. 6PECh. A.6 - Prob. 7PECh. A.6 - Prob. 8PECh. A.6 - Prob. 9PECh. A.6 - Prob. 10PECh. A.6 - Prob. 11PECh. A.6 - Prob. 12PECh. A.6 - Prob. 13PECh. A.6 - Prob. 14PECh. A.6 - Prob. 15PECh. A.6 - Prob. 16PECh. A.6 - Prob. 17PECh. A.6 - Prob. 18PECh. A.6 - Prob. 19PECh. A.6 - Prob. 20PECh. A.6 - Prob. 21PECh. A.6 - Prob. 22PECh. A.6 - Prob. 23PECh. A.6 - Prob. 24PECh. A.6 - Prob. 25PECh. A.6 - Prob. 26PECh. A.6 - Prob. 27PECh. A.6 - Prob. 28PECh. A.6 - Prob. 29PECh. A.6 - Prob. 30PECh. A.6 - Prob. 31PECh. A.6 - Prob. 32PECh. A.6 - Prob. 33PECh. A.6 - Prob. 34PECh. A.6 - Prob. 35PECh. A.6 - Prob. 36PECh. A.6 - Prob. 37PECh. A.6 - Prob. 38PECh. A.6 - Prob. 39PECh. A.6 - Prob. 40PECh. A.6 - Prob. 41PECh. A.6 - Prob. 42PECh. A.6 - Prob. 43PECh. A.6 - Prob. 44PECh. A.6 - Prob. 45PECh. A.6 - Prob. 46PECh. A.6 - Prob. 47PECh. A.6 - Prob. 48PECh. A.6 - Prob. 49PECh. A.6 - Prob. 50PECh. A.6 - Prob. 51PECh. A.6 - Prob. 52PECh. A.6 - Prob. 53PECh. A.6 - Prob. 54PECh. A.6 - Prob. 55PECh. A.6 - Prob. 56PECh. A.6 - Prob. 57PECh. A.6 - Prob. 58PECh. A.6 - Prob. 59PECh. A.6 - Prob. 60PECh. A.6 - Prob. 61PECh. A.6 - Prob. 62PECh. A.6 - Prob. 63PECh. A.6 - Prob. 64PECh. A.7 - Prob. 1PECh. A.7 - Prob. 2PECh. A.7 - Prob. 3PECh. A.7 - Prob. 4PECh. A.7 - Prob. 5PECh. A.7 - Prob. 6PECh. A.7 - Prob. 7PECh. A.7 - Prob. 8PECh. A.7 - Prob. 9PECh. A.7 - Prob. 10PECh. A.7 - Prob. 11PECh. A.7 - Prob. 12PECh. A.7 - Prob. 13PECh. A.7 - Prob. 14PECh. A.7 - Prob. 15PECh. 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