EBK PRECALCULUS
EBK PRECALCULUS
11th Edition
ISBN: 9780135228982
Author: Sullivan
Publisher: PEARSON
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Chapter A.3, Problem 107AYU
To determine

To find: The factor completely each polynomial. If the polynomial cannot be factored, say it is prime.

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1. Abel's Theorem. The goal in this problem is to prove Abel's theorem by following a series of steps (each step must be justified). Theorem 0.1 (Abel's Theorem). If y1 and y2 are solutions of the differential equation y" + p(t) y′ + q(t) y = 0, where p and q are continuous on an open interval, then the Wronskian is given by W (¥1, v2)(t) = c exp(− [p(t) dt), where C is a constant that does not depend on t. Moreover, either W (y1, y2)(t) = 0 for every t in I or W (y1, y2)(t) = 0 for every t in I. 1. (a) From the two equations (which follow from the hypotheses), show that y" + p(t) y₁ + q(t) y₁ = 0 and y½ + p(t) y2 + q(t) y2 = 0, 2. (b) Observe that Hence, conclude that (YY2 - Y1 y2) + P(t) (y₁ Y2 - Y1 Y2) = 0. W'(y1, y2)(t) = yY2 - Y1 y2- W' + p(t) W = 0. 3. (c) Use the result from the previous step to complete the proof of the theorem.
2. Observations on the Wronskian. Suppose the functions y₁ and y2 are solutions to the differential equation p(x)y" + q(x)y' + r(x) y = 0 on an open interval I. 1. (a) Prove that if y₁ and y2 both vanish at the same point in I, then y₁ and y2 cannot form a fundamental set of solutions. 2. (b) Prove that if y₁ and y2 both attain a maximum or minimum at the same point in I, then y₁ and Y2 cannot form a fundamental set of solutions. 3. (c) show that the functions & and t² are linearly independent on the interval (−1, 1). Verify that both are solutions to the differential equation t² y″ – 2ty' + 2y = 0. Then justify why this does not contradict Abel's theorem. 4. (d) What can you conclude about the possibility that t and t² are solutions to the differential equation y" + q(x) y′ + r(x)y = 0?
Question 4 Find an equation of (a) The plane through the point (2, 0, 1) and perpendicular to the line x = y=2-t, z=3+4t. 3t, (b) The plane through the point (3, −2, 8) and parallel to the plane z = x+y. (c) The plane that contains the line x = 1+t, y = 2 − t, z = 4 - 3t and is parallel to the plane 5x + 2y + z = 1. (d) The plane that passes through the point (1,2,3) and contains the line x = 3t, y = 1+t, and z = 2-t. (e) The plane that contains the lines L₁: x = 1 + t, y = 1 − t, z = 2t and L2 : x = 2 − s, y = s, z = 2.

Chapter A Solutions

EBK PRECALCULUS

Ch. A.1 - Prob. 11AYUCh. A.1 - Prob. 12AYUCh. A.1 - Prob. 13AYUCh. A.1 - Prob. 14AYUCh. A.1 - Prob. 15AYUCh. A.1 - Prob. 16AYUCh. A.1 - Prob. 17AYUCh. A.1 - Prob. 18AYUCh. A.1 - Prob. 19AYUCh. A.1 - Prob. 20AYUCh. A.1 - Prob. 21AYUCh. A.1 - Prob. 22AYUCh. A.1 - Prob. 23AYUCh. A.1 - Prob. 24AYUCh. A.1 - Prob. 25AYUCh. A.1 - Prob. 26AYUCh. A.1 - Prob. 27AYUCh. A.1 - Prob. 28AYUCh. A.1 - Prob. 29AYUCh. A.1 - Prob. 30AYUCh. A.1 - Prob. 31AYUCh. A.1 - Prob. 32AYUCh. A.1 - Prob. 33AYUCh. A.1 - Prob. 34AYUCh. A.1 - Prob. 35AYUCh. A.1 - Prob. 36AYUCh. A.1 - Prob. 37AYUCh. A.1 - Prob. 38AYUCh. A.1 - Prob. 39AYUCh. A.1 - Prob. 40AYUCh. A.1 - Prob. 41AYUCh. A.1 - Prob. 42AYUCh. A.1 - Prob. 43AYUCh. A.1 - Prob. 44AYUCh. A.1 - Prob. 45AYUCh. A.1 - Prob. 46AYUCh. A.1 - Prob. 47AYUCh. A.1 - Prob. 48AYUCh. A.1 - Prob. 49AYUCh. A.1 - Prob. 50AYUCh. A.1 - Prob. 51AYUCh. A.1 - Prob. 52AYUCh. A.1 - Prob. 53AYUCh. A.1 - Prob. 54AYUCh. A.1 - Prob. 55AYUCh. A.1 - Prob. 56AYUCh. A.1 - Prob. 57AYUCh. A.1 - Prob. 58AYUCh. A.1 - Prob. 59AYUCh. A.1 - Prob. 60AYUCh. A.1 - Prob. 61AYUCh. A.1 - Prob. 62AYUCh. A.1 - Prob. 63AYUCh. A.1 - Prob. 64AYUCh. A.1 - Prob. 65AYUCh. A.1 - Prob. 66AYUCh. A.1 - Prob. 67AYUCh. A.1 - Prob. 68AYUCh. A.1 - Prob. 69AYUCh. A.1 - Prob. 70AYUCh. A.1 - Prob. 71AYUCh. A.1 - Prob. 72AYUCh. A.1 - Prob. 73AYUCh. A.1 - Prob. 74AYUCh. A.1 - Prob. 75AYUCh. A.1 - Prob. 76AYUCh. A.1 - Prob. 77AYUCh. A.1 - Prob. 78AYUCh. A.1 - Prob. 79AYUCh. A.1 - Prob. 80AYUCh. A.1 - Prob. 81AYUCh. A.1 - Prob. 82AYUCh. A.1 - Prob. 83AYUCh. A.1 - Prob. 84AYUCh. A.1 - Prob. 85AYUCh. A.1 - Prob. 86AYUCh. A.1 - Prob. 87AYUCh. A.1 - Prob. 88AYUCh. A.1 - Prob. 89AYUCh. A.1 - Prob. 90AYUCh. A.1 - Prob. 91AYUCh. A.1 - Prob. 92AYUCh. A.1 - Prob. 93AYUCh. A.1 - Prob. 94AYUCh. A.1 - Prob. 95AYUCh. A.1 - Prob. 96AYUCh. A.1 - Prob. 97AYUCh. A.1 - Prob. 98AYUCh. A.1 - Prob. 99AYUCh. A.1 - Prob. 100AYUCh. A.1 - Prob. 101AYUCh. A.1 - Prob. 102AYUCh. A.1 - Prob. 103AYUCh. A.1 - Prob. 104AYUCh. A.1 - Prob. 105AYUCh. A.1 - Prob. 106AYUCh. A.1 - Prob. 107AYUCh. A.1 - Prob. 108AYUCh. A.1 - Prob. 109AYUCh. A.1 - Prob. 110AYUCh. A.1 - Prob. 111AYUCh. A.1 - Prob. 112AYUCh. A.1 - Prob. 113AYUCh. A.1 - Prob. 114AYUCh. A.1 - Prob. 115AYUCh. A.1 - Prob. 116AYUCh. A.1 - Prob. 117AYUCh. A.1 - Prob. 118AYUCh. A.1 - Prob. 119AYUCh. A.1 - Prob. 120AYUCh. A.1 - Prob. 121AYUCh. A.1 - Prob. 122AYUCh. A.1 - Prob. 123AYUCh. A.1 - Prob. 124AYUCh. A.1 - Prob. 125AYUCh. A.1 - Prob. 126AYUCh. A.1 - Prob. 127AYUCh. A.1 - Prob. 128AYUCh. A.1 - Prob. 129AYUCh. A.1 - Prob. 130AYUCh. A.1 - Prob. 131AYUCh. A.1 - Prob. 132AYUCh. A.1 - Prob. 133AYUCh. A.1 - Prob. 134AYUCh. A.1 - Prob. 135AYUCh. A.1 - Prob. 136AYUCh. A.1 - Prob. 137AYUCh. A.1 - Prob. 138AYUCh. A.1 - Prob. 139AYUCh. A.1 - Prob. 140AYUCh. A.1 - Prob. 141AYUCh. A.1 - Prob. 142AYUCh. A.1 - Prob. 143AYUCh. A.1 - Prob. 144AYUCh. A.1 - Prob. 145AYUCh. A.1 - Prob. 146AYUCh. A.1 - Prob. 147AYUCh. A.1 - Prob. 148AYUCh. A.1 - Prob. 149AYUCh. A.1 - Prob. 150AYUCh. A.1 - Prob. 151AYUCh. A.1 - Prob. 152AYUCh. A.1 - Prob. 153AYUCh. A.1 - Prob. 154AYUCh. A.2 - Prob. 1AYUCh. A.2 - Prob. 2AYUCh. A.2 - Prob. 3AYUCh. A.2 - Prob. 4AYUCh. A.2 - Prob. 5AYUCh. A.2 - Prob. 6AYUCh. A.2 - Prob. 7AYUCh. A.2 - Prob. 8AYUCh. A.2 - Prob. 9AYUCh. A.2 - Prob. 10AYUCh. A.2 - Prob. 11AYUCh. A.2 - Prob. 12AYUCh. A.2 - Prob. 13AYUCh. A.2 - Prob. 14AYUCh. A.2 - Prob. 15AYUCh. A.2 - Prob. 16AYUCh. A.2 - Prob. 17AYUCh. A.2 - Prob. 18AYUCh. A.2 - Prob. 19AYUCh. A.2 - Prob. 20AYUCh. A.2 - Prob. 21AYUCh. A.2 - Prob. 22AYUCh. A.2 - Prob. 23AYUCh. A.2 - Prob. 24AYUCh. A.2 - Prob. 25AYUCh. A.2 - Prob. 26AYUCh. A.2 - Prob. 27AYUCh. A.2 - Prob. 28AYUCh. A.2 - Prob. 29AYUCh. A.2 - Prob. 30AYUCh. A.2 - Prob. 31AYUCh. A.2 - Prob. 32AYUCh. A.2 - Prob. 33AYUCh. A.2 - Prob. 34AYUCh. A.2 - Prob. 35AYUCh. A.2 - Prob. 36AYUCh. A.2 - Prob. 37AYUCh. A.2 - Prob. 38AYUCh. A.2 - Prob. 39AYUCh. A.2 - Prob. 40AYUCh. A.2 - Prob. 41AYUCh. A.2 - Prob. 42AYUCh. A.2 - Prob. 43AYUCh. A.2 - Prob. 44AYUCh. A.2 - Prob. 45AYUCh. A.2 - Prob. 46AYUCh. A.2 - Prob. 47AYUCh. A.2 - Prob. 48AYUCh. A.2 - Prob. 49AYUCh. A.2 - Prob. 50AYUCh. A.2 - Prob. 51AYUCh. A.2 - Prob. 52AYUCh. A.2 - Prob. 53AYUCh. A.2 - Prob. 54AYUCh. A.2 - Prob. 55AYUCh. A.2 - Prob. 56AYUCh. A.2 - Prob. 57AYUCh. A.2 - Prob. 58AYUCh. A.2 - Prob. 59AYUCh. A.2 - Prob. 60AYUCh. A.2 - Prob. 61AYUCh. A.2 - Prob. 62AYUCh. A.3 - Prob. 1AYUCh. A.3 - Prob. 2AYUCh. A.3 - Prob. 3AYUCh. A.3 - Prob. 4AYUCh. A.3 - Prob. 5AYUCh. A.3 - Prob. 6AYUCh. A.3 - Prob. 7AYUCh. A.3 - Prob. 8AYUCh. A.3 - Prob. 9AYUCh. A.3 - Prob. 10AYUCh. A.3 - Prob. 11AYUCh. A.3 - Prob. 12AYUCh. A.3 - Prob. 13AYUCh. A.3 - Prob. 14AYUCh. A.3 - Prob. 15AYUCh. A.3 - Prob. 16AYUCh. A.3 - Prob. 17AYUCh. A.3 - Prob. 18AYUCh. A.3 - Prob. 19AYUCh. A.3 - Prob. 20AYUCh. A.3 - Prob. 21AYUCh. A.3 - Prob. 22AYUCh. A.3 - Prob. 23AYUCh. A.3 - Prob. 24AYUCh. A.3 - Prob. 25AYUCh. A.3 - Prob. 26AYUCh. A.3 - Prob. 27AYUCh. A.3 - Prob. 28AYUCh. A.3 - Prob. 29AYUCh. A.3 - Prob. 30AYUCh. A.3 - Prob. 31AYUCh. A.3 - Prob. 32AYUCh. A.3 - Prob. 33AYUCh. A.3 - Prob. 34AYUCh. A.3 - Prob. 35AYUCh. A.3 - Prob. 36AYUCh. A.3 - Prob. 37AYUCh. A.3 - Prob. 38AYUCh. A.3 - Prob. 39AYUCh. A.3 - Prob. 40AYUCh. A.3 - Prob. 41AYUCh. A.3 - Prob. 42AYUCh. A.3 - Prob. 43AYUCh. A.3 - Prob. 44AYUCh. A.3 - Prob. 45AYUCh. A.3 - Prob. 46AYUCh. A.3 - Prob. 47AYUCh. A.3 - Prob. 48AYUCh. A.3 - Prob. 49AYUCh. A.3 - Prob. 50AYUCh. A.3 - Prob. 51AYUCh. A.3 - Prob. 52AYUCh. A.3 - Prob. 53AYUCh. A.3 - Prob. 54AYUCh. A.3 - Prob. 55AYUCh. A.3 - Prob. 56AYUCh. A.3 - Prob. 57AYUCh. A.3 - Prob. 58AYUCh. A.3 - Prob. 59AYUCh. A.3 - Prob. 60AYUCh. A.3 - Prob. 61AYUCh. A.3 - Prob. 62AYUCh. A.3 - Prob. 63AYUCh. A.3 - Prob. 64AYUCh. A.3 - Prob. 65AYUCh. A.3 - Prob. 66AYUCh. A.3 - Prob. 67AYUCh. A.3 - Prob. 68AYUCh. A.3 - Prob. 69AYUCh. A.3 - Prob. 70AYUCh. A.3 - Prob. 71AYUCh. A.3 - Prob. 72AYUCh. A.3 - Prob. 73AYUCh. A.3 - Prob. 74AYUCh. A.3 - Prob. 75AYUCh. A.3 - Prob. 76AYUCh. A.3 - Prob. 77AYUCh. A.3 - Prob. 78AYUCh. A.3 - Prob. 79AYUCh. A.3 - Prob. 80AYUCh. A.3 - Prob. 81AYUCh. A.3 - Prob. 82AYUCh. A.3 - Prob. 83AYUCh. A.3 - Prob. 84AYUCh. A.3 - Prob. 85AYUCh. A.3 - Prob. 86AYUCh. A.3 - Prob. 87AYUCh. A.3 - Prob. 88AYUCh. A.3 - Prob. 89AYUCh. A.3 - Prob. 90AYUCh. A.3 - Prob. 91AYUCh. A.3 - Prob. 92AYUCh. A.3 - Prob. 93AYUCh. A.3 - Prob. 94AYUCh. A.3 - Prob. 95AYUCh. A.3 - Prob. 96AYUCh. A.3 - Prob. 97AYUCh. A.3 - Prob. 98AYUCh. A.3 - Prob. 99AYUCh. A.3 - Prob. 100AYUCh. A.3 - Prob. 101AYUCh. A.3 - Prob. 102AYUCh. A.3 - Prob. 103AYUCh. A.3 - Prob. 104AYUCh. A.3 - Prob. 105AYUCh. A.3 - Prob. 106AYUCh. A.3 - Prob. 107AYUCh. A.3 - Prob. 108AYUCh. A.3 - Prob. 109AYUCh. A.3 - Prob. 110AYUCh. A.3 - Prob. 111AYUCh. A.3 - Prob. 112AYUCh. A.3 - Prob. 113AYUCh. A.3 - Prob. 114AYUCh. A.3 - Prob. 115AYUCh. A.3 - Prob. 116AYUCh. A.3 - Prob. 117AYUCh. A.3 - Prob. 118AYUCh. A.3 - Prob. 119AYUCh. A.3 - Prob. 120AYUCh. A.3 - Prob. 121AYUCh. A.3 - Prob. 122AYUCh. A.3 - Prob. 123AYUCh. A.3 - Prob. 124AYUCh. A.3 - Prob. 125AYUCh. A.3 - Prob. 126AYUCh. A.3 - Prob. 127AYUCh. A.3 - Prob. 128AYUCh. A.3 - Prob. 129AYUCh. A.3 - Prob. 130AYUCh. A.3 - Prob. 131AYUCh. A.3 - Prob. 132AYUCh. A.3 - Prob. 133AYUCh. A.3 - Prob. 134AYUCh. A.3 - Prob. 135AYUCh. A.3 - Prob. 136AYUCh. A.3 - Prob. 137AYUCh. A.3 - Prob. 138AYUCh. A.3 - Prob. 139AYUCh. A.3 - Prob. 140AYUCh. A.3 - Prob. 141AYUCh. A.3 - Prob. 142AYUCh. A.3 - Prob. 143AYUCh. A.3 - Prob. 144AYUCh. A.3 - Prob. 145AYUCh. A.3 - Prob. 146AYUCh. A.3 - Prob. 147AYUCh. A.3 - Prob. 148AYUCh. A.4 - Prob. 1AYUCh. A.4 - Prob. 2AYUCh. A.4 - Prob. 3AYUCh. A.4 - Prob. 4AYUCh. A.4 - Prob. 5AYUCh. A.4 - Prob. 6AYUCh. A.4 - Prob. 7AYUCh. A.4 - Prob. 8AYUCh. A.4 - Prob. 9AYUCh. A.4 - Prob. 10AYUCh. A.4 - Prob. 11AYUCh. A.4 - Prob. 12AYUCh. A.4 - Prob. 13AYUCh. A.4 - Prob. 14AYUCh. A.4 - Prob. 15AYUCh. A.4 - Prob. 16AYUCh. A.4 - Prob. 17AYUCh. A.4 - Prob. 18AYUCh. A.4 - Prob. 19AYUCh. A.4 - Prob. 20AYUCh. A.4 - Prob. 21AYUCh. A.4 - Prob. 22AYUCh. A.4 - Prob. 23AYUCh. A.4 - Prob. 24AYUCh. A.4 - Prob. 25AYUCh. A.4 - Prob. 26AYUCh. A.4 - Prob. 27AYUCh. A.4 - Prob. 28AYUCh. A.4 - Prob. 29AYUCh. A.4 - Prob. 30AYUCh. A.5 - Prob. 1AYUCh. A.5 - Prob. 2AYUCh. A.5 - Prob. 3AYUCh. A.5 - Prob. 4AYUCh. A.5 - Prob. 5AYUCh. A.5 - Prob. 6AYUCh. A.5 - Prob. 7AYUCh. A.5 - Prob. 8AYUCh. A.5 - Prob. 9AYUCh. A.5 - Prob. 10AYUCh. A.5 - Prob. 11AYUCh. A.5 - Prob. 12AYUCh. A.5 - Prob. 13AYUCh. A.5 - Prob. 14AYUCh. A.5 - Prob. 15AYUCh. A.5 - Prob. 16AYUCh. A.5 - Prob. 17AYUCh. A.5 - Prob. 18AYUCh. A.5 - Prob. 19AYUCh. A.5 - Prob. 20AYUCh. A.5 - Prob. 21AYUCh. A.5 - Prob. 22AYUCh. A.5 - Prob. 23AYUCh. A.5 - Prob. 24AYUCh. A.5 - Prob. 25AYUCh. A.5 - Prob. 26AYUCh. A.5 - Prob. 27AYUCh. A.5 - Prob. 28AYUCh. A.5 - Prob. 29AYUCh. A.5 - Prob. 30AYUCh. A.5 - Prob. 31AYUCh. A.5 - Prob. 32AYUCh. A.5 - Prob. 33AYUCh. A.5 - Prob. 34AYUCh. A.5 - Prob. 35AYUCh. A.5 - Prob. 36AYUCh. A.5 - Prob. 37AYUCh. A.5 - Prob. 38AYUCh. A.5 - Prob. 39AYUCh. A.5 - Prob. 40AYUCh. A.5 - Prob. 41AYUCh. A.5 - Prob. 42AYUCh. A.5 - Prob. 43AYUCh. A.5 - Prob. 44AYUCh. A.5 - Prob. 45AYUCh. A.5 - Prob. 46AYUCh. A.5 - Prob. 47AYUCh. A.5 - Prob. 48AYUCh. A.5 - Prob. 49AYUCh. A.6 - Factor: Ch. A.6 - Prob. 2AYUCh. A.6 - Prob. 3AYUCh. A.6 - Prob. 4AYUCh. A.6 - Prob. 5AYUCh. A.6 - Prob. 6AYUCh. A.6 - Prob. 7AYUCh. A.6 - To solve the equation by completing the square,...Ch. A.6 - Prob. 9AYUCh. A.6 - Prob. 10AYUCh. A.6 - Prob. 11AYUCh. A.6 - Prob. 12AYUCh. A.6 - Prob. 13AYUCh. A.6 - Prob. 14AYUCh. A.6 - Prob. 15AYUCh. A.6 - Prob. 16AYUCh. A.6 - Prob. 17AYUCh. A.6 - Prob. 18AYUCh. A.6 - Prob. 19AYUCh. A.6 - Prob. 20AYUCh. A.6 - Prob. 21AYUCh. A.6 - Prob. 22AYUCh. A.6 - Prob. 23AYUCh. A.6 - Prob. 24AYUCh. A.6 - Prob. 25AYUCh. A.6 - Prob. 26AYUCh. A.6 - Prob. 27AYUCh. A.6 - Prob. 28AYUCh. A.6 - Prob. 29AYUCh. A.6 - Prob. 30AYUCh. A.6 - Prob. 31AYUCh. A.6 - Prob. 32AYUCh. A.6 - Prob. 33AYUCh. A.6 - Prob. 34AYUCh. A.6 - Prob. 35AYUCh. A.6 - Prob. 36AYUCh. A.6 - Prob. 37AYUCh. A.6 - Prob. 38AYUCh. A.6 - Prob. 39AYUCh. A.6 - Prob. 40AYUCh. A.6 - Prob. 41AYUCh. A.6 - Prob. 42AYUCh. A.6 - Prob. 43AYUCh. A.6 - Prob. 44AYUCh. A.6 - In Problems , solve each equation. Ch. A.6 - Prob. 46AYUCh. A.6 - Prob. 47AYUCh. A.6 - Prob. 48AYUCh. A.6 - Prob. 49AYUCh. A.6 - Prob. 50AYUCh. A.6 - Prob. 51AYUCh. A.6 - Prob. 52AYUCh. A.6 - Prob. 53AYUCh. A.6 - Prob. 54AYUCh. A.6 - Prob. 55AYUCh. A.6 - Prob. 56AYUCh. A.6 - Prob. 57AYUCh. A.6 - Prob. 58AYUCh. A.6 - Prob. 59AYUCh. A.6 - Prob. 60AYUCh. A.6 - Prob. 61AYUCh. A.6 - Prob. 62AYUCh. A.6 - Prob. 63AYUCh. A.6 - Prob. 64AYUCh. A.6 - Prob. 65AYUCh. A.6 - Prob. 66AYUCh. A.6 - Prob. 67AYUCh. A.6 - Prob. 68AYUCh. A.6 - Prob. 69AYUCh. A.6 - Prob. 70AYUCh. A.6 - Prob. 71AYUCh. A.6 - Prob. 72AYUCh. A.6 - Prob. 73AYUCh. A.6 - Prob. 74AYUCh. A.6 - Prob. 75AYUCh. A.6 - Prob. 76AYUCh. A.6 - Prob. 77AYUCh. A.6 - Prob. 78AYUCh. A.6 - Prob. 79AYUCh. A.6 - Prob. 80AYUCh. A.6 - Prob. 81AYUCh. A.6 - Prob. 82AYUCh. A.6 - Prob. 83AYUCh. A.6 - Prob. 84AYUCh. A.6 - Prob. 85AYUCh. A.6 - Prob. 86AYUCh. A.6 - Prob. 87AYUCh. A.6 - Prob. 88AYUCh. A.6 - Prob. 89AYUCh. A.6 - Prob. 90AYUCh. A.6 - Prob. 91AYUCh. A.6 - Prob. 92AYUCh. A.6 - Prob. 93AYUCh. A.6 - Prob. 94AYUCh. A.6 - Prob. 95AYUCh. A.6 - Prob. 96AYUCh. A.6 - Prob. 97AYUCh. A.6 - Prob. 98AYUCh. A.6 - Prob. 99AYUCh. A.6 - Prob. 100AYUCh. A.6 - Prob. 101AYUCh. A.6 - Prob. 102AYUCh. A.6 - Prob. 103AYUCh. A.6 - Prob. 104AYUCh. A.6 - Prob. 105AYUCh. A.6 - Prob. 106AYUCh. A.6 - Prob. 107AYUCh. A.6 - Prob. 108AYUCh. A.6 - Prob. 109AYUCh. A.6 - Prob. 110AYUCh. A.6 - Prob. 111AYUCh. A.6 - Prob. 112AYUCh. A.6 - Prob. 113AYUCh. A.6 - Prob. 114AYUCh. A.6 - Prob. 115AYUCh. A.6 - Prob. 116AYUCh. A.6 - Prob. 117AYUCh. A.6 - Prob. 118AYUCh. A.6 - Prob. 119AYUCh. A.6 - Prob. 120AYUCh. A.6 - Prob. 121AYUCh. A.6 - Prob. 122AYUCh. A.6 - Prob. 123AYUCh. A.6 - Prob. 124AYUCh. A.6 - Prob. 125AYUCh. A.6 - Prob. 126AYUCh. A.6 - Prob. 127AYUCh. A.6 - Prob. 128AYUCh. A.6 - Prob. 129AYUCh. A.6 - Prob. 130AYUCh. A.6 - Prob. 131AYUCh. A.6 - Prob. 132AYUCh. A.6 - Prob. 133AYUCh. A.6 - Prob. 134AYUCh. A.6 - Prob. 135AYUCh. A.7 - Prob. 1AYUCh. A.7 - Prob. 2AYUCh. A.7 - Prob. 3AYUCh. A.7 - Prob. 4AYUCh. A.7 - Prob. 5AYUCh. A.7 - Prob. 6AYUCh. A.7 - Prob. 7AYUCh. A.7 - Prob. 8AYUCh. A.7 - Prob. 9AYUCh. A.7 - Prob. 10AYUCh. A.7 - Prob. 11AYUCh. A.7 - Prob. 12AYUCh. A.7 - Prob. 13AYUCh. A.7 - Prob. 14AYUCh. A.7 - Prob. 15AYUCh. A.7 - Prob. 16AYUCh. A.7 - Prob. 17AYUCh. A.7 - Prob. 18AYUCh. A.7 - Prob. 19AYUCh. A.7 - Prob. 20AYUCh. A.7 - Prob. 21AYUCh. A.7 - Prob. 22AYUCh. A.7 - Prob. 23AYUCh. A.7 - Prob. 24AYUCh. A.7 - Prob. 25AYUCh. A.7 - Prob. 26AYUCh. A.7 - Prob. 27AYUCh. A.7 - Prob. 28AYUCh. A.7 - Prob. 29AYUCh. A.7 - Prob. 30AYUCh. A.7 - Prob. 31AYUCh. A.7 - Prob. 32AYUCh. A.7 - Prob. 33AYUCh. A.7 - Prob. 34AYUCh. A.7 - Prob. 35AYUCh. A.7 - Prob. 36AYUCh. A.7 - Prob. 37AYUCh. A.7 - Prob. 38AYUCh. A.7 - Prob. 39AYUCh. A.7 - Prob. 40AYUCh. A.7 - Prob. 41AYUCh. A.7 - Prob. 42AYUCh. A.7 - Prob. 43AYUCh. A.7 - Prob. 44AYUCh. A.7 - Prob. 45AYUCh. A.7 - Prob. 46AYUCh. A.7 - Prob. 47AYUCh. A.7 - Prob. 48AYUCh. A.7 - Prob. 49AYUCh. A.7 - Prob. 50AYUCh. A.7 - Prob. 51AYUCh. A.7 - Prob. 52AYUCh. A.7 - Prob. 53AYUCh. A.7 - Prob. 54AYUCh. A.7 - Prob. 55AYUCh. A.7 - Prob. 56AYUCh. A.7 - Prob. 57AYUCh. A.7 - Prob. 58AYUCh. A.7 - Prob. 59AYUCh. A.7 - Prob. 60AYUCh. A.7 - Prob. 61AYUCh. A.7 - Prob. 62AYUCh. A.7 - Prob. 63AYUCh. A.7 - Prob. 64AYUCh. A.7 - Prob. 65AYUCh. A.7 - Prob. 66AYUCh. A.7 - Prob. 67AYUCh. A.7 - Prob. 68AYUCh. A.7 - Prob. 69AYUCh. A.7 - Prob. 70AYUCh. A.7 - Prob. 71AYUCh. A.7 - Prob. 72AYUCh. A.7 - Prob. 73AYUCh. A.7 - Prob. 74AYUCh. A.7 - Prob. 75AYUCh. A.7 - Prob. 76AYUCh. A.7 - Prob. 77AYUCh. A.7 - Prob. 78AYUCh. A.7 - Prob. 79AYUCh. A.7 - Prob. 80AYUCh. A.7 - Prob. 81AYUCh. A.7 - Prob. 82AYUCh. A.7 - Prob. 83AYUCh. A.7 - Prob. 84AYUCh. A.7 - Prob. 85AYUCh. A.7 - Prob. 86AYUCh. A.7 - Prob. 87AYUCh. A.7 - Prob. 88AYUCh. A.7 - Prob. 89AYUCh. A.7 - Prob. 90AYUCh. A.7 - Prob. 91AYUCh. A.7 - Prob. 92AYUCh. A.7 - Prob. 93AYUCh. A.7 - Prob. 94AYUCh. A.7 - Prob. 95AYUCh. A.7 - Prob. 96AYUCh. A.8 - Prob. 1AYUCh. A.8 - Prob. 2AYUCh. A.8 - Prob. 3AYUCh. A.8 - Prob. 4AYUCh. A.8 - Prob. 5AYUCh. A.8 - Prob. 6AYUCh. A.8 - Prob. 7AYUCh. A.8 - Prob. 8AYUCh. A.8 - Prob. 9AYUCh. A.8 - Prob. 10AYUCh. A.8 - Prob. 11AYUCh. A.8 - Prob. 12AYUCh. A.8 - Prob. 13AYUCh. A.8 - Prob. 14AYUCh. A.8 - Prob. 15AYUCh. A.8 - Prob. 16AYUCh. A.8 - Prob. 17AYUCh. A.8 - Prob. 18AYUCh. A.8 - Prob. 19AYUCh. A.8 - Prob. 20AYUCh. A.8 - Prob. 21AYUCh. A.8 - Prob. 22AYUCh. A.8 - Prob. 23AYUCh. A.8 - Prob. 24AYUCh. A.8 - Prob. 25AYUCh. A.8 - Prob. 26AYUCh. A.8 - Prob. 27AYUCh. A.8 - Prob. 28AYUCh. A.8 - Prob. 29AYUCh. A.8 - Prob. 30AYUCh. A.8 - Moving Walkways The speed of a moving walkway is...Ch. A.8 - Prob. 32AYUCh. A.8 - Prob. 33AYUCh. A.8 - Prob. 34AYUCh. A.8 - Prob. 35AYUCh. A.8 - Prob. 36AYUCh. A.8 - Prob. 37AYUCh. A.8 - Prob. 38AYUCh. A.8 - Prob. 39AYUCh. A.8 - Prob. 40AYUCh. A.8 - Prob. 41AYUCh. A.8 - Prob. 42AYUCh. A.8 - Prob. 43AYUCh. A.8 - Prob. 44AYUCh. A.8 - Prob. 45AYUCh. A.8 - Prob. 46AYUCh. A.8 - Prob. 47AYUCh. A.8 - Prob. 48AYUCh. A.8 - Prob. 49AYUCh. A.8 - Prob. 50AYUCh. A.8 - Prob. 51AYUCh. A.8 - Prob. 52AYUCh. A.8 - Prob. 53AYUCh. A.8 - Prob. 54AYUCh. A.8 - Prob. 55AYUCh. A.8 - Prob. 56AYUCh. A.8 - Prob. 57AYUCh. A.8 - Prob. 58AYUCh. A.8 - Prob. 59AYUCh. A.8 - Prob. 60AYUCh. A.8 - Prob. 61AYUCh. A.8 - Prob. 62AYUCh. A.8 - Prob. 63AYUCh. A.9 - Prob. 1AYUCh. A.9 - Prob. 2AYUCh. A.9 - Prob. 3AYUCh. A.9 - Prob. 4AYUCh. A.9 - Prob. 5AYUCh. A.9 - Prob. 6AYUCh. A.9 - Prob. 7AYUCh. A.9 - Prob. 8AYUCh. A.9 - Prob. 9AYUCh. A.9 - Prob. 10AYUCh. A.9 - Prob. 11AYUCh. A.9 - Prob. 12AYUCh. A.9 - Prob. 13AYUCh. A.9 - Prob. 14AYUCh. A.9 - Prob. 15AYUCh. A.9 - Prob. 16AYUCh. A.9 - Prob. 17AYUCh. A.9 - Prob. 18AYUCh. A.9 - Prob. 19AYUCh. A.9 - Prob. 20AYUCh. A.9 - Prob. 21AYUCh. A.9 - Prob. 22AYUCh. A.9 - Prob. 23AYUCh. A.9 - Prob. 24AYUCh. A.9 - Prob. 25AYUCh. A.9 - Prob. 26AYUCh. A.9 - Prob. 27AYUCh. A.9 - Prob. 28AYUCh. A.9 - Prob. 29AYUCh. A.9 - Prob. 30AYUCh. A.9 - Prob. 31AYUCh. A.9 - Prob. 32AYUCh. A.9 - Prob. 33AYUCh. A.9 - Prob. 34AYUCh. A.9 - Prob. 35AYUCh. A.9 - Prob. 36AYUCh. A.9 - Prob. 37AYUCh. A.9 - Prob. 38AYUCh. A.9 - Prob. 39AYUCh. A.9 - Prob. 40AYUCh. A.9 - Prob. 41AYUCh. A.9 - Prob. 42AYUCh. A.9 - Prob. 43AYUCh. A.9 - Prob. 44AYUCh. A.9 - Prob. 45AYUCh. A.9 - Prob. 46AYUCh. A.9 - Prob. 47AYUCh. A.9 - Prob. 48AYUCh. A.9 - Prob. 49AYUCh. A.9 - Prob. 50AYUCh. A.9 - Prob. 51AYUCh. A.9 - Prob. 52AYUCh. A.9 - Prob. 53AYUCh. A.9 - Prob. 54AYUCh. A.9 - Prob. 55AYUCh. A.9 - Prob. 56AYUCh. A.9 - Prob. 57AYUCh. A.9 - Prob. 58AYUCh. A.9 - Prob. 59AYUCh. A.9 - Prob. 60AYUCh. A.9 - Prob. 61AYUCh. A.9 - Prob. 62AYUCh. A.9 - Prob. 63AYUCh. A.9 - Prob. 64AYUCh. A.9 - Prob. 65AYUCh. A.9 - Prob. 66AYUCh. A.9 - Prob. 67AYUCh. A.9 - Prob. 68AYUCh. A.9 - Prob. 69AYUCh. A.9 - Prob. 70AYUCh. A.9 - Prob. 71AYUCh. A.9 - Prob. 72AYUCh. A.9 - Prob. 73AYUCh. A.9 - Prob. 74AYUCh. A.9 - Prob. 75AYUCh. A.9 - Prob. 76AYUCh. A.9 - Prob. 77AYUCh. A.9 - Prob. 78AYUCh. A.9 - Prob. 79AYUCh. A.9 - Prob. 80AYUCh. A.9 - Prob. 81AYUCh. A.9 - Prob. 82AYUCh. A.9 - Prob. 83AYUCh. A.9 - Prob. 84AYUCh. A.9 - Prob. 85AYUCh. A.9 - Prob. 86AYUCh. A.9 - Prob. 87AYUCh. A.9 - Prob. 88AYUCh. A.9 - Prob. 89AYUCh. A.9 - Prob. 90AYUCh. A.9 - Prob. 91AYUCh. A.9 - Prob. 92AYUCh. A.9 - Prob. 93AYUCh. A.9 - Prob. 94AYUCh. A.9 - Prob. 95AYUCh. A.9 - Prob. 96AYUCh. A.9 - Prob. 97AYUCh. A.9 - Prob. 98AYUCh. A.9 - Prob. 99AYUCh. A.9 - Prob. 100AYUCh. A.9 - Prob. 101AYUCh. A.9 - Prob. 102AYUCh. A.9 - Prob. 103AYUCh. A.9 - Prob. 104AYUCh. A.9 - Prob. 105AYUCh. A.9 - Prob. 106AYUCh. A.9 - Prob. 107AYUCh. A.9 - Prob. 108AYUCh. A.9 - Prob. 109AYUCh. A.9 - Prob. 110AYUCh. A.9 - Prob. 111AYUCh. A.9 - Prob. 112AYUCh. A.9 - Prob. 113AYUCh. A.9 - Prob. 114AYUCh. A.9 - Prob. 115AYUCh. A.9 - Prob. 116AYUCh. A.9 - Prob. 117AYUCh. A.9 - Prob. 118AYUCh. A.9 - Prob. 119AYUCh. A.9 - Prob. 120AYUCh. A.9 - Prob. 121AYUCh. A.9 - Prob. 122AYUCh. A.9 - Prob. 123AYUCh. A.9 - Prob. 124AYUCh. A.9 - Prob. 125AYUCh. A.9 - Prob. 126AYUCh. A.9 - Prob. 127AYUCh. A.9 - Prob. 128AYUCh. A.9 - Prob. 129AYUCh. A.9 - Prob. 130AYUCh. A.9 - Prob. 131AYUCh. A.9 - Prob. 132AYUCh. A.9 - Computing Grades In your Economics 101 class, you...Ch. A.9 - Prob. 134AYUCh. A.9 - Prob. 135AYUCh. A.9 - Prob. 136AYUCh. A.9 - Prob. 137AYUCh. A.9 - Prob. 138AYUCh. A.9 - Prob. 139AYUCh. A.9 - Prob. 140AYUCh. A.9 - Prob. 141AYUCh. A.10 - Prob. 1AYUCh. A.10 - Prob. 2AYUCh. A.10 - Prob. 3AYUCh. A.10 - Prob. 4AYUCh. A.10 - Prob. 5AYUCh. A.10 - Prob. 6AYUCh. A.10 - Prob. 7AYUCh. A.10 - Prob. 8AYUCh. A.10 - Prob. 9AYUCh. A.10 - Prob. 10AYUCh. A.10 - Prob. 11AYUCh. A.10 - Prob. 12AYUCh. A.10 - Prob. 13AYUCh. A.10 - Prob. 14AYUCh. A.10 - Prob. 15AYUCh. A.10 - Prob. 16AYUCh. A.10 - Prob. 17AYUCh. A.10 - Prob. 18AYUCh. A.10 - Prob. 19AYUCh. A.10 - Prob. 20AYUCh. A.10 - Prob. 21AYUCh. A.10 - Prob. 22AYUCh. A.10 - Prob. 23AYUCh. A.10 - Prob. 24AYUCh. A.10 - Prob. 25AYUCh. A.10 - Prob. 26AYUCh. A.10 - Prob. 27AYUCh. A.10 - Prob. 28AYUCh. A.10 - Prob. 29AYUCh. A.10 - Prob. 30AYUCh. A.10 - Prob. 31AYUCh. A.10 - Prob. 32AYUCh. A.10 - Prob. 33AYUCh. A.10 - Prob. 34AYUCh. A.10 - Prob. 35AYUCh. A.10 - Prob. 36AYUCh. A.10 - Prob. 37AYUCh. A.10 - Prob. 38AYUCh. A.10 - Prob. 39AYUCh. A.10 - Prob. 40AYUCh. A.10 - Prob. 41AYUCh. A.10 - Prob. 42AYUCh. A.10 - Prob. 43AYUCh. A.10 - Prob. 44AYUCh. A.10 - Prob. 45AYUCh. A.10 - Prob. 46AYUCh. A.10 - Prob. 47AYUCh. A.10 - Prob. 48AYUCh. A.10 - Prob. 49AYUCh. A.10 - Prob. 50AYUCh. A.10 - Prob. 51AYUCh. A.10 - Prob. 52AYUCh. A.10 - Prob. 53AYUCh. A.10 - Prob. 54AYUCh. A.10 - Prob. 55AYUCh. A.10 - Prob. 56AYUCh. A.10 - Prob. 57AYUCh. A.10 - Prob. 58AYUCh. A.10 - Prob. 59AYUCh. A.10 - Prob. 60AYUCh. A.10 - Prob. 61AYUCh. A.10 - Prob. 62AYUCh. A.10 - Prob. 63AYUCh. A.10 - Prob. 64AYUCh. A.10 - Prob. 65AYUCh. A.10 - Prob. 66AYUCh. A.10 - Prob. 67AYUCh. A.10 - Prob. 68AYUCh. A.10 - Prob. 69AYUCh. A.10 - Prob. 70AYUCh. A.10 - Prob. 71AYUCh. A.10 - Prob. 72AYUCh. A.10 - Prob. 73AYUCh. A.10 - Prob. 74AYUCh. A.10 - Prob. 75AYUCh. A.10 - Prob. 76AYUCh. A.10 - Prob. 77AYUCh. A.10 - Prob. 78AYUCh. A.10 - Prob. 79AYUCh. A.10 - Prob. 80AYUCh. A.10 - Prob. 81AYUCh. A.10 - Prob. 82AYUCh. A.10 - Prob. 83AYUCh. A.10 - Prob. 84AYUCh. A.10 - Prob. 85AYUCh. A.10 - Prob. 86AYUCh. A.10 - Prob. 87AYUCh. A.10 - Prob. 88AYUCh. A.10 - Prob. 89AYUCh. A.10 - Prob. 90AYUCh. A.10 - Prob. 91AYUCh. A.10 - Prob. 92AYUCh. A.10 - Prob. 93AYUCh. A.10 - Prob. 94AYUCh. A.10 - Prob. 95AYUCh. A.10 - Prob. 96AYUCh. A.10 - Prob. 97AYUCh. A.10 - Prob. 98AYUCh. A.10 - Prob. 99AYUCh. A.10 - Prob. 100AYUCh. A.10 - Prob. 101AYUCh. A.10 - Prob. 102AYUCh. A.10 - Prob. 103AYUCh. A.10 - Prob. 104AYUCh. A.10 - Prob. 105AYUCh. A.10 - Prob. 106AYUCh. A.10 - Prob. 107AYUCh. A.10 - Prob. 108AYUCh. A.10 - Prob. 109AYUCh. A.10 - Prob. 110AYUCh. A.10 - Prob. 111AYUCh. A.10 - Prob. 112AYUCh. A.10 - Prob. 113AYUCh. A.10 - Prob. 114AYUCh. A.10 - Prob. 115AYUCh. A.10 - Prob. 116AYUCh. A.10 - Prob. 117AYUCh. A.10 - Prob. 118AYUCh. A.10 - Prob. 119AYUCh. A.10 - Prob. 120AYUCh. A.10 - Prob. 121AYUCh. A.10 - Prob. 122AYUCh. A.10 - Prob. 123AYUCh. A.10 - Prob. 124AYUCh. A.10 - Prob. 125AYUCh. A.10 - Prob. 126AYUCh. A.10 - Prob. 127AYUCh. A.10 - Prob. 128AYUCh. A.10 - Prob. 129AYUCh. A.10 - Prob. 130AYUCh. A.10 - Prob. 131AYUCh. A.10 - Prob. 132AYUCh. A.10 - Prob. 133AYUCh. A.10 - Prob. 134AYUCh. A.10 - Prob. 135AYUCh. A.10 - Prob. 136AYUCh. A.10 - Prob. 137AYUCh. A.10 - Prob. 138AYU
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