EBK ALGEBRA FOUNDATIONS
15th Edition
ISBN: 9780321978929
Author: Martin-Gay
Publisher: PEARSON
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Question
Chapter 2, Problem 30R
To determine
To add:
The given numbers.
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Students have asked these similar questions
R denotes the field of real numbers, Q denotes the field of rationals, and
Fp denotes the field of p elements given by integers modulo p. You may refer to general
results from lectures.
Question 1
For each non-negative integer m, let R[x]m denote the
vector space consisting of the polynomials in x with coefficients in R and of degree ≤ m.
x²+2, V3 = 5. Prove that (V1, V2, V3) is a linearly independent
(a) Let vi = x, V2 =
list in R[x] 3.
(b) Let V1, V2, V3 be as defined in (a). Find a vector v € R[×]3 such that (V1, V2, V3, V4)
is a basis of R[x] 3.
[8]
[6]
(c) Prove that the map ƒ from R[x] 2 to R[x]3 given by f(p(x)) = xp(x) — xp(0) is a
linear map.
[6]
(d) Write down the matrix for the map ƒ defined in (c) with respect to the basis
(2,2x + 1, x²) of R[x] 2 and the basis (1, x, x², x³) of R[x] 3.
[5]
Question 4
(a) The following matrices represent linear maps on R² with respect to an
orthonormal basis:
=
[1/√5 2/√5
[2/√5 -1/√5]
"
[1/√5 2/√5]
A =
B =
[2/√5 1/√5] 1
C =
D =
=
=
[ 1/3/5 2/35]
1/√5 2/√5
-2/√5 1/√5'
For each of the matrices A, B, C, D, state whether it represents a self-adjoint
linear map, an orthogonal linear map, both, or neither.
(b) For the quadratic form
q(x, y, z) = y² + 2xy +2yz
over R, write down a linear change of variables to u, v, w such that q in these
terms is in canonical form for Sylvester's Law of Inertia.
[6]
[4]
part b please
Chapter 2 Solutions
EBK ALGEBRA FOUNDATIONS
Ch. 2.1 - Prob. 1VRVCCh. 2.1 - Prob. 2VRVCCh. 2.1 - Prob. 3VRVCCh. 2.1 - Prob. 4VRVCCh. 2.1 - Prob. 5VRVCCh. 2.1 - Prob. 6VRVCCh. 2.1 - Prob. 7VRVCCh. 2.1 - Prob. 8VRVCCh. 2.1 - Prob. 1ESCh. 2.1 - Prob. 2ES
Ch. 2.1 - Prob. 3ESCh. 2.1 - Prob. 4ESCh. 2.1 - Prob. 5ESCh. 2.1 - Prob. 6ESCh. 2.1 - Prob. 7ESCh. 2.1 - Prob. 8ESCh. 2.1 - Prob. 9ESCh. 2.1 - Prob. 10ESCh. 2.1 - Prob. 11ESCh. 2.1 - Prob. 12ESCh. 2.1 - Prob. 13ESCh. 2.1 - Prob. 14ESCh. 2.1 - Prob. 15ESCh. 2.1 - Prob. 16ESCh. 2.1 - Prob. 17ESCh. 2.1 - Prob. 18ESCh. 2.1 - Prob. 19ESCh. 2.1 - Prob. 20ESCh. 2.1 - Prob. 21ESCh. 2.1 - Prob. 22ESCh. 2.1 - Prob. 23ESCh. 2.1 - Prob. 24ESCh. 2.1 - Prob. 25ESCh. 2.1 - Prob. 26ESCh. 2.1 - Prob. 27ESCh. 2.1 - Prob. 28ESCh. 2.1 - Prob. 29ESCh. 2.1 - Prob. 30ESCh. 2.1 - Prob. 31ESCh. 2.1 - Prob. 32ESCh. 2.1 - Prob. 33ESCh. 2.1 - Prob. 34ESCh. 2.1 - Prob. 35ESCh. 2.1 - Prob. 36ESCh. 2.1 - Prob. 37ESCh. 2.1 - Prob. 38ESCh. 2.1 - Prob. 39ESCh. 2.1 - Prob. 40ESCh. 2.1 - Prob. 41ESCh. 2.1 - Prob. 42ESCh. 2.1 - Prob. 43ESCh. 2.1 - Prob. 44ESCh. 2.1 - Prob. 45ESCh. 2.1 - Prob. 46ESCh. 2.1 - Prob. 47ESCh. 2.1 - Prob. 48ESCh. 2.1 - Prob. 49ESCh. 2.1 - Prob. 50ESCh. 2.1 - Prob. 51ESCh. 2.1 - Prob. 52ESCh. 2.1 - Prob. 53ESCh. 2.1 - Prob. 54ESCh. 2.1 - Prob. 55ESCh. 2.1 - Prob. 56ESCh. 2.1 - Prob. 57ESCh. 2.1 - Prob. 58ESCh. 2.1 - Prob. 59ESCh. 2.1 - Prob. 60ESCh. 2.1 - Prob. 61ESCh. 2.1 - Prob. 62ESCh. 2.1 - Prob. 63ESCh. 2.1 - Prob. 64ESCh. 2.1 - Prob. 65ESCh. 2.1 - Prob. 66ESCh. 2.1 - Prob. 67ESCh. 2.1 - Prob. 68ESCh. 2.1 - Prob. 69ESCh. 2.1 - Prob. 70ESCh. 2.1 - Prob. 71ESCh. 2.1 - Prob. 72ESCh. 2.1 - Prob. 73ESCh. 2.1 - Prob. 74ESCh. 2.1 - Prob. 75ESCh. 2.1 - Prob. 76ESCh. 2.1 - Prob. 77ESCh. 2.1 - Prob. 78ESCh. 2.1 - Prob. 79ESCh. 2.1 - Prob. 80ESCh. 2.1 - Prob. 81ESCh. 2.1 - Prob. 82ESCh. 2.1 - Prob. 83ESCh. 2.1 - Prob. 84ESCh. 2.1 - Prob. 85ESCh. 2.1 - Prob. 86ESCh. 2.1 - Prob. 87ESCh. 2.1 - Prob. 88ESCh. 2.1 - Prob. 89ESCh. 2.1 - Prob. 90ESCh. 2.1 - Prob. 91ESCh. 2.1 - Prob. 92ESCh. 2.1 - Prob. 93ESCh. 2.1 - Prob. 94ESCh. 2.1 - Prob. 95ESCh. 2.1 - Prob. 96ESCh. 2.1 - Prob. 97ESCh. 2.1 - Prob. 98ESCh. 2.1 - Prob. 99ESCh. 2.1 - Prob. 100ESCh. 2.1 - Write the given numbers in order from least to...Ch. 2.1 - Prob. 102ESCh. 2.1 - Prob. 103ESCh. 2.1 - Prob. 104ESCh. 2.1 - Prob. 105ESCh. 2.1 - Prob. 106ESCh. 2.1 - Prob. 107ESCh. 2.1 - Prob. 108ESCh. 2.1 - Prob. 109ESCh. 2.1 - Prob. 110ESCh. 2.1 - Prob. 111ESCh. 2.1 - Prob. 112ESCh. 2.1 - Prob. 113ESCh. 2.1 - Prob. 114ESCh. 2.1 - Prob. 115ESCh. 2.1 - Prob. 116ESCh. 2.1 - Prob. 117ESCh. 2.1 - Prob. 118ESCh. 2.1 - Prob. 119ESCh. 2.1 - Prob. 120ESCh. 2.2 - Prob. 1VRVCCh. 2.2 - Prob. 2VRVCCh. 2.2 - Prob. 3VRVCCh. 2.2 - Prob. 4VRVCCh. 2.2 - Prob. 1ESCh. 2.2 - Prob. 2ESCh. 2.2 - Prob. 3ESCh. 2.2 - Prob. 4ESCh. 2.2 - Prob. 5ESCh. 2.2 - Prob. 6ESCh. 2.2 - Prob. 7ESCh. 2.2 - Prob. 8ESCh. 2.2 - Prob. 9ESCh. 2.2 - Prob. 10ESCh. 2.2 - Prob. 11ESCh. 2.2 - Prob. 12ESCh. 2.2 - Prob. 13ESCh. 2.2 - Prob. 14ESCh. 2.2 - Prob. 15ESCh. 2.2 - Prob. 16ESCh. 2.2 - Prob. 17ESCh. 2.2 - Prob. 18ESCh. 2.2 - Prob. 19ESCh. 2.2 - Prob. 20ESCh. 2.2 - Prob. 21ESCh. 2.2 - Prob. 22ESCh. 2.2 - Prob. 23ESCh. 2.2 - Prob. 24ESCh. 2.2 - Prob. 25ESCh. 2.2 - Prob. 26ESCh. 2.2 - Prob. 27ESCh. 2.2 - Prob. 28ESCh. 2.2 - Prob. 29ESCh. 2.2 - Prob. 30ESCh. 2.2 - Prob. 31ESCh. 2.2 - Prob. 32ESCh. 2.2 - Prob. 33ESCh. 2.2 - Prob. 34ESCh. 2.2 - Prob. 35ESCh. 2.2 - Prob. 36ESCh. 2.2 - Prob. 37ESCh. 2.2 - Prob. 38ESCh. 2.2 - Prob. 39ESCh. 2.2 - Prob. 40ESCh. 2.2 - Prob. 41ESCh. 2.2 - Prob. 42ESCh. 2.2 - Prob. 43ESCh. 2.2 - Prob. 44ESCh. 2.2 - Prob. 45ESCh. 2.2 - Prob. 46ESCh. 2.2 - Prob. 47ESCh. 2.2 - Prob. 48ESCh. 2.2 - Prob. 49ESCh. 2.2 - Prob. 50ESCh. 2.2 - Prob. 51ESCh. 2.2 - Prob. 52ESCh. 2.2 - Prob. 53ESCh. 2.2 - Prob. 54ESCh. 2.2 - Prob. 55ESCh. 2.2 - Prob. 56ESCh. 2.2 - Prob. 57ESCh. 2.2 - Prob. 58ESCh. 2.2 - Prob. 59ESCh. 2.2 - Prob. 60ESCh. 2.2 - Prob. 61ESCh. 2.2 - Prob. 62ESCh. 2.2 - Prob. 63ESCh. 2.2 - Prob. 64ESCh. 2.2 - Prob. 65ESCh. 2.2 - Prob. 66ESCh. 2.2 - Prob. 67ESCh. 2.2 - Prob. 68ESCh. 2.2 - Prob. 69ESCh. 2.2 - Prob. 70ESCh. 2.2 - Prob. 71ESCh. 2.2 - Prob. 72ESCh. 2.2 - Prob. 73ESCh. 2.2 - Prob. 74ESCh. 2.2 - Prob. 75ESCh. 2.2 - Prob. 76ESCh. 2.2 - Prob. 77ESCh. 2.2 - Prob. 78ESCh. 2.2 - Prob. 79ESCh. 2.2 - Prob. 80ESCh. 2.2 - Prob. 81ESCh. 2.2 - Prob. 82ESCh. 2.2 - Prob. 83ESCh. 2.2 - Prob. 84ESCh. 2.2 - Prob. 85ESCh. 2.2 - Prob. 86ESCh. 2.2 - Prob. 87ESCh. 2.2 - Prob. 88ESCh. 2.2 - Prob. 89ESCh. 2.2 - Prob. 90ESCh. 2.2 - Prob. 91ESCh. 2.2 - Prob. 92ESCh. 2.2 - Prob. 93ESCh. 2.2 - Prob. 94ESCh. 2.2 - Prob. 95ESCh. 2.2 - Prob. 96ESCh. 2.2 - Prob. 97ESCh. 2.2 - Prob. 98ESCh. 2.2 - Prob. 99ESCh. 2.2 - Prob. 100ESCh. 2.3 - Prob. 1VRVCCh. 2.3 - Prob. 2VRVCCh. 2.3 - Prob. 3VRVCCh. 2.3 - Prob. 4VRVCCh. 2.3 - Prob. 1ESCh. 2.3 - Prob. 2ESCh. 2.3 - Prob. 3ESCh. 2.3 - Prob. 4ESCh. 2.3 - Prob. 5ESCh. 2.3 - Prob. 6ESCh. 2.3 - Prob. 7ESCh. 2.3 - Prob. 8ESCh. 2.3 - Prob. 9ESCh. 2.3 - Prob. 10ESCh. 2.3 - Prob. 11ESCh. 2.3 - Prob. 12ESCh. 2.3 - Prob. 13ESCh. 2.3 - Prob. 14ESCh. 2.3 - Prob. 15ESCh. 2.3 - Prob. 16ESCh. 2.3 - Prob. 17ESCh. 2.3 - Prob. 18ESCh. 2.3 - Prob. 19ESCh. 2.3 - Prob. 20ESCh. 2.3 - Prob. 21ESCh. 2.3 - Prob. 22ESCh. 2.3 - Prob. 23ESCh. 2.3 - Prob. 24ESCh. 2.3 - Prob. 25ESCh. 2.3 - Prob. 26ESCh. 2.3 - Prob. 27ESCh. 2.3 - Prob. 28ESCh. 2.3 - Prob. 29ESCh. 2.3 - Prob. 30ESCh. 2.3 - Prob. 31ESCh. 2.3 - Prob. 32ESCh. 2.3 - Prob. 33ESCh. 2.3 - Prob. 34ESCh. 2.3 - Mixed Practice (Sections 2.2 and 2.3) Add or...Ch. 2.3 - Prob. 36ESCh. 2.3 - Prob. 37ESCh. 2.3 - Prob. 38ESCh. 2.3 - Prob. 39ESCh. 2.3 - Prob. 40ESCh. 2.3 - Prob. 41ESCh. 2.3 - Prob. 42ESCh. 2.3 - Prob. 43ESCh. 2.3 - Prob. 44ESCh. 2.3 - Prob. 45ESCh. 2.3 - Prob. 46ESCh. 2.3 - Prob. 47ESCh. 2.3 - Prob. 48ESCh. 2.3 - Prob. 49ESCh. 2.3 - Prob. 50ESCh. 2.3 - Prob. 51ESCh. 2.3 - Prob. 52ESCh. 2.3 - Prob. 53ESCh. 2.3 - Prob. 54ESCh. 2.3 - Prob. 55ESCh. 2.3 - Prob. 56ESCh. 2.3 - Prob. 57ESCh. 2.3 - Prob. 58ESCh. 2.3 - Prob. 59ESCh. 2.3 - Prob. 60ESCh. 2.3 - Prob. 61ESCh. 2.3 - Prob. 62ESCh. 2.3 - Prob. 63ESCh. 2.3 - Prob. 64ESCh. 2.3 - Prob. 65ESCh. 2.3 - Prob. 66ESCh. 2.3 - Prob. 67ESCh. 2.3 - Prob. 68ESCh. 2.3 - Prob. 69ESCh. 2.3 - Prob. 70ESCh. 2.3 - Prob. 71ESCh. 2.3 - Prob. 72ESCh. 2.3 - Prob. 73ESCh. 2.3 - Prob. 74ESCh. 2.3 - Prob. 75ESCh. 2.3 - Prob. 76ESCh. 2.3 - Prob. 77ESCh. 2.3 - Prob. 78ESCh. 2.3 - Prob. 79ESCh. 2.3 - Prob. 80ESCh. 2.3 - Prob. 81ESCh. 2.3 - Prob. 82ESCh. 2.3 - Prob. 83ESCh. 2.3 - Prob. 84ESCh. 2.3 - Prob. 85ESCh. 2.3 - Prob. 86ESCh. 2.3 - Prob. 87ESCh. 2.3 - Prob. 88ESCh. 2.3 - Prob. 89ESCh. 2.3 - Prob. 90ESCh. 2.3 - Prob. 91ESCh. 2.3 - Prob. 92ESCh. 2.3 - Prob. 93ESCh. 2.3 - Prob. 94ESCh. 2.3 - Prob. 95ESCh. 2.3 - Prob. 96ESCh. 2.3 - Prob. 97ESCh. 2.3 - Prob. 98ESCh. 2.3 - Prob. 99ESCh. 2.3 - Prob. 100ESCh. 2.3 - Prob. 101ESCh. 2.3 - Prob. 102ESCh. 2.3 - Prob. 103ESCh. 2.3 - Prob. 104ESCh. 2.3 - Prob. 105ESCh. 2.3 - Prob. 106ESCh. 2.3 - Prob. 107ESCh. 2.3 - Prob. 108ESCh. 2.4 - Prob. 1VRVCCh. 2.4 - Prob. 2VRVCCh. 2.4 - Prob. 3VRVCCh. 2.4 - Prob. 4VRVCCh. 2.4 - Prob. 5VRVCCh. 2.4 - Prob. 6VRVCCh. 2.4 - Prob. 7VRVCCh. 2.4 - Prob. 1ESCh. 2.4 - Prob. 2ESCh. 2.4 - Prob. 3ESCh. 2.4 - Prob. 4ESCh. 2.4 - Prob. 5ESCh. 2.4 - Prob. 6ESCh. 2.4 - Prob. 7ESCh. 2.4 - Prob. 8ESCh. 2.4 - Prob. 9ESCh. 2.4 - Prob. 10ESCh. 2.4 - Prob. 11ESCh. 2.4 - Prob. 12ESCh. 2.4 - Prob. 13ESCh. 2.4 - Prob. 14ESCh. 2.4 - Prob. 15ESCh. 2.4 - Prob. 16ESCh. 2.4 - Prob. 17ESCh. 2.4 - Prob. 18ESCh. 2.4 - Prob. 19ESCh. 2.4 - Prob. 20ESCh. 2.4 - Prob. 21ESCh. 2.4 - Prob. 22ESCh. 2.4 - Prob. 23ESCh. 2.4 - Prob. 24ESCh. 2.4 - Prob. 25ESCh. 2.4 - Prob. 26ESCh. 2.4 - Prob. 27ESCh. 2.4 - Prob. 28ESCh. 2.4 - Prob. 29ESCh. 2.4 - Prob. 30ESCh. 2.4 - Prob. 31ESCh. 2.4 - Prob. 32ESCh. 2.4 - Prob. 33ESCh. 2.4 - Prob. 34ESCh. 2.4 - Prob. 35ESCh. 2.4 - Prob. 36ESCh. 2.4 - Prob. 37ESCh. 2.4 - Prob. 38ESCh. 2.4 - Prob. 39ESCh. 2.4 - Prob. 40ESCh. 2.4 - Prob. 41ESCh. 2.4 - Prob. 42ESCh. 2.4 - Prob. 43ESCh. 2.4 - Prob. 44ESCh. 2.4 - Prob. 45ESCh. 2.4 - Prob. 46ESCh. 2.4 - Prob. 47ESCh. 2.4 - Prob. 48ESCh. 2.4 - Prob. 49ESCh. 2.4 - Prob. 50ESCh. 2.4 - Prob. 51ESCh. 2.4 - Prob. 52ESCh. 2.4 - Prob. 53ESCh. 2.4 - Prob. 54ESCh. 2.4 - Prob. 55ESCh. 2.4 - Prob. 56ESCh. 2.4 - Prob. 57ESCh. 2.4 - Prob. 58ESCh. 2.4 - Prob. 59ESCh. 2.4 - Prob. 60ESCh. 2.4 - Prob. 61ESCh. 2.4 - Prob. 62ESCh. 2.4 - Prob. 63ESCh. 2.4 - Prob. 64ESCh. 2.4 - Prob. 65ESCh. 2.4 - Prob. 66ESCh. 2.4 - Prob. 67ESCh. 2.4 - Prob. 68ESCh. 2.4 - Prob. 69ESCh. 2.4 - Prob. 70ESCh. 2.4 - Prob. 71ESCh. 2.4 - Prob. 72ESCh. 2.4 - Prob. 73ESCh. 2.4 - Prob. 74ESCh. 2.4 - Prob. 75ESCh. 2.4 - Prob. 76ESCh. 2.4 - Prob. 77ESCh. 2.4 - Prob. 78ESCh. 2.4 - Prob. 79ESCh. 2.4 - Prob. 80ESCh. 2.4 - Prob. 81ESCh. 2.4 - Prob. 82ESCh. 2.4 - Prob. 83ESCh. 2.4 - Prob. 84ESCh. 2.4 - Prob. 85ESCh. 2.4 - Prob. 86ESCh. 2.4 - Prob. 87ESCh. 2.4 - Prob. 88ESCh. 2.4 - Prob. 89ESCh. 2.4 - Prob. 90ESCh. 2.4 - Prob. 91ESCh. 2.4 - Prob. 92ESCh. 2.4 - Prob. 93ESCh. 2.4 - Prob. 94ESCh. 2.4 - Prob. 95ESCh. 2.4 - Prob. 96ESCh. 2.4 - Prob. 97ESCh. 2.4 - Prob. 98ESCh. 2.4 - Prob. 99ESCh. 2.4 - Prob. 100ESCh. 2.4 - Prob. 101ESCh. 2.4 - Objective D Translating Translate each phrase;...Ch. 2.4 - Prob. 103ESCh. 2.4 - Prob. 104ESCh. 2.4 - Prob. 105ESCh. 2.4 - Prob. 106ESCh. 2.4 - Prob. 107ESCh. 2.4 - Prob. 108ESCh. 2.4 - Prob. 109ESCh. 2.4 - Prob. 110ESCh. 2.4 - Prob. 111ESCh. 2.4 - Prob. 112ESCh. 2.4 - Prob. 113ESCh. 2.4 - Prob. 114ESCh. 2.4 - Prob. 115ESCh. 2.4 - Prob. 116ESCh. 2.4 - Prob. 117ESCh. 2.4 - Prob. 118ESCh. 2.4 - Prob. 119ESCh. 2.4 - Prob. 120ESCh. 2.4 - Prob. 121ESCh. 2.4 - Prob. 122ESCh. 2.4 - Prob. 123ESCh. 2.4 - Prob. 124ESCh. 2.4 - Prob. 125ESCh. 2.4 - Prob. 126ESCh. 2.4 - Prob. 127ESCh. 2.4 - Prob. 128ESCh. 2.4 - Prob. 129ESCh. 2.4 - Prob. 130ESCh. 2.4 - Prob. 131ESCh. 2.4 - Prob. 132ESCh. 2.4 - Prob. 133ESCh. 2.4 - Prob. 134ESCh. 2.4 - Prob. 135ESCh. 2.4 - Prob. 136ESCh. 2.4 - Prob. 137ESCh. 2.4 - Prob. 138ESCh. 2.5 - Prob. 1VRVCCh. 2.5 - Prob. 2VRVCCh. 2.5 - Prob. 3VRVCCh. 2.5 - Prob. 4VRVCCh. 2.5 - Prob. 5VRVCCh. 2.5 - Prob. 6VRVCCh. 2.5 - Prob. 1ESCh. 2.5 - Prob. 2ESCh. 2.5 - Prob. 3ESCh. 2.5 - Prob. 4ESCh. 2.5 - Prob. 5ESCh. 2.5 - Prob. 6ESCh. 2.5 - Prob. 7ESCh. 2.5 - Prob. 8ESCh. 2.5 - Prob. 9ESCh. 2.5 - Prob. 10ESCh. 2.5 - Prob. 11ESCh. 2.5 - Prob. 12ESCh. 2.5 - Prob. 13ESCh. 2.5 - Prob. 14ESCh. 2.5 - Prob. 15ESCh. 2.5 - Prob. 16ESCh. 2.5 - Prob. 17ESCh. 2.5 - Prob. 18ESCh. 2.5 - Prob. 19ESCh. 2.5 - Prob. 20ESCh. 2.5 - Prob. 21ESCh. 2.5 - Prob. 22ESCh. 2.5 - Prob. 23ESCh. 2.5 - Prob. 24ESCh. 2.5 - Prob. 25ESCh. 2.5 - Prob. 26ESCh. 2.5 - Prob. 27ESCh. 2.5 - Prob. 28ESCh. 2.5 - Prob. 29ESCh. 2.5 - Prob. 30ESCh. 2.5 - Prob. 31ESCh. 2.5 - Prob. 32ESCh. 2.5 - Prob. 33ESCh. 2.5 - Prob. 34ESCh. 2.5 - Prob. 35ESCh. 2.5 - Prob. 36ESCh. 2.5 - Prob. 37ESCh. 2.5 - Prob. 38ESCh. 2.5 - Prob. 39ESCh. 2.5 - Prob. 40ESCh. 2.5 - Prob. 41ESCh. 2.5 - Prob. 42ESCh. 2.5 - Prob. 43ESCh. 2.5 - Prob. 44ESCh. 2.5 - Prob. 45ESCh. 2.5 - Prob. 46ESCh. 2.5 - Prob. 47ESCh. 2.5 - Prob. 48ESCh. 2.5 - Prob. 49ESCh. 2.5 - Prob. 50ESCh. 2.5 - Prob. 51ESCh. 2.5 - Prob. 52ESCh. 2.5 - Prob. 53ESCh. 2.5 - Prob. 54ESCh. 2.5 - Prob. 55ESCh. 2.5 - Prob. 56ESCh. 2.5 - Prob. 57ESCh. 2.5 - Prob. 58ESCh. 2.5 - Prob. 59ESCh. 2.5 - Prob. 60ESCh. 2.5 - Prob. 61ESCh. 2.5 - Prob. 62ESCh. 2.5 - Prob. 63ESCh. 2.5 - Prob. 64ESCh. 2.5 - Prob. 65ESCh. 2.5 - Prob. 66ESCh. 2.5 - Prob. 67ESCh. 2.5 - Prob. 68ESCh. 2.5 - Prob. 69ESCh. 2.5 - Prob. 70ESCh. 2.5 - Prob. 71ESCh. 2.5 - Prob. 72ESCh. 2.5 - Prob. 73ESCh. 2.5 - Prob. 74ESCh. 2.5 - Prob. 75ESCh. 2.5 - Prob. 76ESCh. 2.5 - Prob. 77ESCh. 2.5 - Prob. 78ESCh. 2.5 - Prob. 79ESCh. 2.5 - Prob. 80ESCh. 2.5 - Prob. 81ESCh. 2.5 - Prob. 82ESCh. 2.5 - Prob. 83ESCh. 2.5 - Prob. 84ESCh. 2.5 - Prob. 85ESCh. 2.5 - Prob. 86ESCh. 2.5 - Prob. 87ESCh. 2.5 - Prob. 88ESCh. 2.5 - Prob. 89ESCh. 2.5 - Prob. 90ESCh. 2.5 - Prob. 91ESCh. 2.5 - Prob. 92ESCh. 2.5 - Prob. 93ESCh. 2.5 - Prob. 94ESCh. 2.5 - Prob. 95ESCh. 2.5 - Prob. 96ESCh. 2.5 - Prob. 97ESCh. 2.5 - Prob. 98ESCh. 2.5 - Prob. 99ESCh. 2.5 - Prob. 100ESCh. 2.5 - Prob. 101ESCh. 2.5 - Prob. 102ESCh. 2.5 - Prob. 103ESCh. 2.5 - Prob. 104ESCh. 2.5 - Prob. 105ESCh. 2.5 - Prob. 106ESCh. 2.5 - Prob. 107ESCh. 2.5 - Prob. 108ESCh. 2.5 - Prob. 109ESCh. 2.5 - Prob. 110ESCh. 2.6 - Prob. 1VRVCCh. 2.6 - Prob. 2VRVCCh. 2.6 - Prob. 3VRVCCh. 2.6 - Prob. 4VRVCCh. 2.6 - Prob. 5VRVCCh. 2.6 - Prob. 6VRVCCh. 2.6 - Prob. 7VRVCCh. 2.6 - Prob. 8VRVCCh. 2.6 - Prob. 1ESCh. 2.6 - Prob. 2ESCh. 2.6 - Prob. 3ESCh. 2.6 - Prob. 4ESCh. 2.6 - Prob. 5ESCh. 2.6 - Prob. 6ESCh. 2.6 - Prob. 7ESCh. 2.6 - Prob. 8ESCh. 2.6 - Prob. 9ESCh. 2.6 - Prob. 10ESCh. 2.6 - Prob. 11ESCh. 2.6 - Prob. 12ESCh. 2.6 - Prob. 13ESCh. 2.6 - Prob. 14ESCh. 2.6 - Prob. 15ESCh. 2.6 - Prob. 16ESCh. 2.6 - Prob. 17ESCh. 2.6 - Prob. 18ESCh. 2.6 - Prob. 19ESCh. 2.6 - Prob. 20ESCh. 2.6 - Prob. 21ESCh. 2.6 - Prob. 22ESCh. 2.6 - Prob. 23ESCh. 2.6 - Prob. 24ESCh. 2.6 - Prob. 25ESCh. 2.6 - Prob. 26ESCh. 2.6 - Prob. 27ESCh. 2.6 - Prob. 28ESCh. 2.6 - Prob. 29ESCh. 2.6 - Prob. 30ESCh. 2.6 - Prob. 31ESCh. 2.6 - Prob. 32ESCh. 2.6 - Prob. 33ESCh. 2.6 - Prob. 34ESCh. 2.6 - Prob. 35ESCh. 2.6 - Prob. 36ESCh. 2.6 - Prob. 37ESCh. 2.6 - Prob. 38ESCh. 2.6 - Prob. 39ESCh. 2.6 - Prob. 40ESCh. 2.6 - Prob. 41ESCh. 2.6 - Prob. 42ESCh. 2.6 - Prob. 43ESCh. 2.6 - Prob. 44ESCh. 2.6 - Prob. 45ESCh. 2.6 - Prob. 46ESCh. 2.6 - Prob. 47ESCh. 2.6 - Prob. 48ESCh. 2.6 - Prob. 49ESCh. 2.6 - Prob. 50ESCh. 2.6 - Prob. 51ESCh. 2.6 - Prob. 52ESCh. 2.6 - Prob. 53ESCh. 2.6 - Prob. 54ESCh. 2.6 - Prob. 55ESCh. 2.6 - Prob. 56ESCh. 2.6 - Prob. 57ESCh. 2.6 - Prob. 58ESCh. 2.6 - Prob. 59ESCh. 2.6 - Prob. 60ESCh. 2 - Prob. 1IRCh. 2 - Prob. 2IRCh. 2 - Prob. 3IRCh. 2 - Prob. 4IRCh. 2 - Prob. 5IRCh. 2 - Prob. 6IRCh. 2 - Prob. 7IRCh. 2 - Prob. 8IRCh. 2 - Prob. 9IRCh. 2 - Prob. 10IRCh. 2 - Prob. 11IRCh. 2 - Prob. 12IRCh. 2 - Prob. 13IRCh. 2 - Prob. 14IRCh. 2 - Prob. 15IRCh. 2 - Prob. 16IRCh. 2 - Prob. 17IRCh. 2 - Prob. 18IRCh. 2 - Prob. 19IRCh. 2 - Prob. 20IRCh. 2 - Prob. 21IRCh. 2 - Prob. 22IRCh. 2 - Prob. 23IRCh. 2 - Prob. 24IRCh. 2 - Prob. 25IRCh. 2 - Prob. 26IRCh. 2 - Prob. 27IRCh. 2 - Prob. 28IRCh. 2 - Prob. 29IRCh. 2 - Prob. 30IRCh. 2 - Prob. 31IRCh. 2 - Prob. 32IRCh. 2 - Prob. 33IRCh. 2 - Prob. 34IRCh. 2 - Prob. 35IRCh. 2 - Prob. 36IRCh. 2 - Prob. 37IRCh. 2 - Prob. 38IRCh. 2 - Prob. 39IRCh. 2 - Prob. 40IRCh. 2 - Prob. 41IRCh. 2 - Prob. 42IRCh. 2 - Prob. 43IRCh. 2 - Prob. 44IRCh. 2 - Prob. 45IRCh. 2 - Prob. 46IRCh. 2 - Prob. 1VCCh. 2 - Prob. 2VCCh. 2 - Prob. 3VCCh. 2 - Prob. 4VCCh. 2 - Prob. 5VCCh. 2 - Prob. 6VCCh. 2 - Prob. 7VCCh. 2 - Prob. 8VCCh. 2 - Prob. 9VCCh. 2 - Prob. 10VCCh. 2 - Prob. 11VCCh. 2 - Prob. 12VCCh. 2 - Prob. 13VCCh. 2 - Prob. 1RCh. 2 - Prob. 2RCh. 2 - Prob. 3RCh. 2 - Prob. 4RCh. 2 - Prob. 5RCh. 2 - Prob. 6RCh. 2 - Prob. 7RCh. 2 - Prob. 8RCh. 2 - Prob. 9RCh. 2 - Prob. 10RCh. 2 - Prob. 11RCh. 2 - Prob. 12RCh. 2 - Prob. 13RCh. 2 - Prob. 14RCh. 2 - Prob. 15RCh. 2 - Prob. 16RCh. 2 - Prob. 17RCh. 2 - Prob. 18RCh. 2 - Prob. 19RCh. 2 - Prob. 20RCh. 2 - Prob. 21RCh. 2 - Prob. 22RCh. 2 - Prob. 23RCh. 2 - Prob. 24RCh. 2 - Prob. 25RCh. 2 - Prob. 26RCh. 2 - Prob. 27RCh. 2 - Prob. 28RCh. 2 - Prob. 29RCh. 2 - Prob. 30RCh. 2 - Prob. 31RCh. 2 - Prob. 32RCh. 2 - Prob. 33RCh. 2 - Prob. 34RCh. 2 - Prob. 35RCh. 2 - Prob. 36RCh. 2 - Prob. 37RCh. 2 - Prob. 38RCh. 2 - Prob. 39RCh. 2 - Prob. 40RCh. 2 - Prob. 41RCh. 2 - Prob. 42RCh. 2 - Prob. 43RCh. 2 - Prob. 44RCh. 2 - Prob. 45RCh. 2 - Prob. 46RCh. 2 - Prob. 47RCh. 2 - Prob. 48RCh. 2 - Prob. 49RCh. 2 - Prob. 50RCh. 2 - Prob. 51RCh. 2 - Prob. 52RCh. 2 - Prob. 53RCh. 2 - Prob. 54RCh. 2 - Prob. 55RCh. 2 - Prob. 56RCh. 2 - Prob. 57RCh. 2 - Prob. 58RCh. 2 - Prob. 59RCh. 2 - Prob. 60RCh. 2 - Prob. 61RCh. 2 - Prob. 62RCh. 2 - Prob. 63RCh. 2 - Prob. 64RCh. 2 - Prob. 65RCh. 2 - Prob. 66RCh. 2 - Prob. 67RCh. 2 - Prob. 68RCh. 2 - Prob. 69RCh. 2 - Prob. 70RCh. 2 - Prob. 71RCh. 2 - Prob. 72RCh. 2 - Prob. 73RCh. 2 - Prob. 74RCh. 2 - Prob. 75RCh. 2 - Prob. 76RCh. 2 - Prob. 77RCh. 2 - Prob. 78RCh. 2 - Prob. 79RCh. 2 - Prob. 80RCh. 2 - Prob. 81RCh. 2 - Prob. 82RCh. 2 - Prob. 83RCh. 2 - Prob. 84RCh. 2 - Prob. 85RCh. 2 - Prob. 86RCh. 2 - Prob. 87RCh. 2 - Prob. 88RCh. 2 - Prob. 89RCh. 2 - Prob. 90RCh. 2 - Prob. 91RCh. 2 - Prob. 92RCh. 2 - Prob. 93RCh. 2 - Prob. 94RCh. 2 - Prob. 95RCh. 2 - Prob. 96RCh. 2 - Prob. 97RCh. 2 - Prob. 98RCh. 2 - Prob. 99RCh. 2 - Prob. 100RCh. 2 - Prob. 101RCh. 2 - Prob. 102RCh. 2 - Prob. 103RCh. 2 - Prob. 104RCh. 2 - Prob. 105RCh. 2 - Prob. 106RCh. 2 - Prob. 107RCh. 2 - Prob. 108RCh. 2 - Prob. 109RCh. 2 - Prob. 110RCh. 2 - Prob. 111RCh. 2 - Prob. 112RCh. 2 - Prob. 113RCh. 2 - Prob. 114RCh. 2 - Prob. 115RCh. 2 - Prob. 116RCh. 2 - Prob. 117RCh. 2 - Prob. 118RCh. 2 - Prob. 119RCh. 2 - Prob. 120RCh. 2 - Prob. 121RCh. 2 - Prob. 122RCh. 2 - Solve. 123. The top of a mountain has an altitude...Ch. 2 - Prob. 124RCh. 2 - Prob. 125RCh. 2 - Prob. 126RCh. 2 - Prob. 127RCh. 2 - Prob. 128RCh. 2 - Prob. 129RCh. 2 - Prob. 130RCh. 2 - Prob. 131RCh. 2 - Prob. 132RCh. 2 - Prob. 133RCh. 2 - Prob. 134RCh. 2 - Prob. 135RCh. 2 - Prob. 136RCh. 2 - Prob. 1TCh. 2 - Prob. 2TCh. 2 - Prob. 3TCh. 2 - Prob. 4TCh. 2 - Prob. 5TCh. 2 - Prob. 6TCh. 2 - Prob. 7TCh. 2 - Prob. 8TCh. 2 - Prob. 9TCh. 2 - Prob. 10TCh. 2 - Prob. 11TCh. 2 - Prob. 12TCh. 2 - Prob. 13TCh. 2 - Prob. 14TCh. 2 - Prob. 15TCh. 2 - Prob. 16TCh. 2 - Prob. 17TCh. 2 - Prob. 18TCh. 2 - Prob. 19TCh. 2 - Prob. 20TCh. 2 - Prob. 21TCh. 2 - Prob. 22TCh. 2 - Prob. 23TCh. 2 - Prob. 24TCh. 2 - Prob. 25TCh. 2 - Prob. 26TCh. 2 - Prob. 27TCh. 2 - Prob. 28TCh. 2 - Lake Baykal in Siberian Russia is the deepest lake...Ch. 2 - Prob. 30TCh. 2 - Prob. 31TCh. 2 - Prob. 32TCh. 2 - Prob. 33TCh. 2 - Prob. 34TCh. 2 - Prob. 35TCh. 2 - Prob. 1CRCh. 2 - Prob. 2CRCh. 2 - Prob. 3CRCh. 2 - Prob. 4CRCh. 2 - Prob. 5CRCh. 2 - Prob. 6CRCh. 2 - Prob. 7CRCh. 2 - Prob. 8CRCh. 2 - Prob. 9CRCh. 2 - Prob. 10CRCh. 2 - Prob. 11CRCh. 2 - Prob. 12CRCh. 2 - Prob. 13CRCh. 2 - Prob. 14CRCh. 2 - Prob. 15CRCh. 2 - Prob. 16CRCh. 2 - Prob. 17CRCh. 2 - Prob. 18CRCh. 2 - Prob. 19CRCh. 2 - Prob. 20CRCh. 2 - Prob. 21CRCh. 2 - Prob. 22CRCh. 2 - Prob. 23CRCh. 2 - Prob. 24CRCh. 2 - Prob. 25CRCh. 2 - Prob. 26CRCh. 2 - Prob. 27CRCh. 2 - Prob. 28CRCh. 2 - Prob. 29CRCh. 2 - Prob. 30CRCh. 2 - Prob. 31CRCh. 2 - Prob. 32CRCh. 2 - Prob. 33CRCh. 2 - Prob. 34CRCh. 2 - Prob. 35CRCh. 2 - Prob. 36CRCh. 2 - Prob. 37CRCh. 2 - Prob. 38CRCh. 2 - Simplify: a. |9| b. |8| c. |0|Ch. 2 - Prob. 40CRCh. 2 - Prob. 41CRCh. 2 - Prob. 42CRCh. 2 - Prob. 43CRCh. 2 - Prob. 44CRCh. 2 - Prob. 45CRCh. 2 - Prob. 46CRCh. 2 - Prob. 47CRCh. 2 - Prob. 48CRCh. 2 - Prob. 49CRCh. 2 - Prob. 50CR
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