DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
16th Edition
ISBN: 9781323235911
Author: BITTINGER
Publisher: Pearson Custom Publishing
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Question
Chapter 11, Problem 1COR
To determine
Whether the statement “Every polynomial with four terms can be factored by grouping.” is true or false.
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Students have asked these similar questions
a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we have
reached a point where we have obtained the following tableau. Apply one more pivot
operation, indicating the highlighted row and column and the row operations you carry
out. What can you conclude from your updated tableau?
x1
x2 x3
81 82
83
84
81
-2 0
1 1 0
0
0
3
82
3 0
-2 0
1
2
0
6
12
1
1
-3
0
0
1
0
2
84
-3 0
2
0
0 -1
1
4
-2 -2 0
11
0
0-4
0
-8
b) Solve the following linear program using the 2-phase simplex algorithm. You should give
the initial tableau, and each further tableau produced during the execution of the
algorithm. If the program has an optimal solution, give this solution and state its
objective value. If it does not have an optimal solution, say why.
maximize ₁ - 2x2+x34x4
subject to 2x1+x22x3x41,
5x1 + x2-x3-×4 ≤ −1,
2x1+x2-x3-34
2,
1, 2, 3, 40.
9. An elementary single period market model contains a risk-free asset with interest rate
r = 5% and a risky asset S which has price 30 at time t = 0 and will have either price
10 or 60 at time t = 1. Find a replicating strategy for a contingent claim with payoff
h(S₁) = max(20 - S₁, 0) + max(S₁ — 50, 0).
Total [8 Marks]
Chapter 11 Solutions
DEVELOP.MATH(3 VOLS) CUSTOM-W/MML <IC<
Ch. 11.1 - Objective 7.7d: Use the distributive laws to...Ch. 11.1 - Prob. 2SRCh. 11.1 - Prob. 1DECh. 11.1 - Prob. 2DECh. 11.1 - Prob. 3DECh. 11.1 - Prob. 4DECh. 11.1 - Prob. 5DECh. 11.1 - Prob. 6DECh. 11.1 - Find the GCF. GS 24m5n6,12mn3,16m2n2,8m4n4 The...Ch. 11.1 - Prob. 8DE
Ch. 11.1 - Prob. 9DECh. 11.1 - Prob. 10DECh. 11.1 - Prob. 11DECh. 11.1 - Prob. 12DECh. 11.1 - Factor. Check by multiplying.
13.
Ch. 11.1 - Prob. 14DECh. 11.1 - Prob. 15DECh. 11.1 - Factor. Check by multiplying.
16.
Ch. 11.1 - Prob. 17DECh. 11.1 - Prob. 18DECh. 11.1 - Prob. 19DECh. 11.1 - Prob. 20DECh. 11.1 - Prob. 21DECh. 11.1 - Prob. 22DECh. 11.1 - Prob. 23DECh. 11.1 - Prob. 24DECh. 11.1 - Prob. 1RCCh. 11.1 - Prob. 2RCCh. 11.1 - Prob. 3RCCh. 11.1 - Prob. 4RCCh. 11.1 - Prob. 1ESCh. 11.1 - Prob. 2ESCh. 11.1 - Prob. 3ESCh. 11.1 - Prob. 4ESCh. 11.1 - Prob. 5ESCh. 11.1 - Prob. 6ESCh. 11.1 - Prob. 7ESCh. 11.1 - Prob. 8ESCh. 11.1 - Prob. 9ESCh. 11.1 - Prob. 10ESCh. 11.1 - Prob. 11ESCh. 11.1 - Prob. 12ESCh. 11.1 - Prob. 13ESCh. 11.1 - Prob. 14ESCh. 11.1 - Prob. 15ESCh. 11.1 - Prob. 16ESCh. 11.1 - Prob. 17ESCh. 11.1 - Prob. 18ESCh. 11.1 - Prob. 19ESCh. 11.1 - Prob. 20ESCh. 11.1 - Prob. 21ESCh. 11.1 - Prob. 22ESCh. 11.1 - Prob. 23ESCh. 11.1 - Prob. 24ESCh. 11.1 - Prob. 25ESCh. 11.1 - Prob. 26ESCh. 11.1 - Prob. 27ESCh. 11.1 - Prob. 28ESCh. 11.1 - Prob. 29ESCh. 11.1 - Prob. 30ESCh. 11.1 - Prob. 31ESCh. 11.1 - Prob. 32ESCh. 11.1 - Prob. 33ESCh. 11.1 - Prob. 34ESCh. 11.1 - Prob. 35ESCh. 11.1 - Prob. 36ESCh. 11.1 - Prob. 37ESCh. 11.1 - Prob. 38ESCh. 11.1 - Prob. 39ESCh. 11.1 - Prob. 40ESCh. 11.1 - Prob. 41ESCh. 11.1 - Prob. 42ESCh. 11.1 - Prob. 43ESCh. 11.1 - Prob. 44ESCh. 11.1 - Prob. 45ESCh. 11.1 - Prob. 46ESCh. 11.1 - Prob. 47ESCh. 11.1 - Prob. 48ESCh. 11.1 - Factor by grouping. x3+3x2+2x+6Ch. 11.1 - Prob. 50ESCh. 11.1 - Factor by grouping. 2x3+6x2+x+3Ch. 11.1 - Factor by grouping. 3x3+2x2+3x+2Ch. 11.1 - Prob. 53ESCh. 11.1 - Prob. 54ESCh. 11.1 - Prob. 55ESCh. 11.1 - Prob. 56ESCh. 11.1 - Factor by grouping.
57.
Ch. 11.1 - Prob. 58ESCh. 11.1 - Factor by grouping.
59.
Ch. 11.1 - Factor by grouping. 2x3+12x25x30Ch. 11.1 - Factor by grouping. 2x38x29x+36Ch. 11.1 - Prob. 62ESCh. 11.1 - Prob. 63ESCh. 11.1 - Prob. 64ESCh. 11.1 - Prob. 65ESCh. 11.1 - Prob. 66ESCh. 11.1 - Prob. 67ESCh. 11.1 - Prob. 68ESCh. 11.1 - Prob. 69ESCh. 11.1 - Prob. 70ESCh. 11.1 - Prob. 71ESCh. 11.1 - Prob. 72ESCh. 11.1 - Prob. 73ESCh. 11.1 - Prob. 74ESCh. 11.1 - Factor.
75.
Ch. 11.1 - Prob. 76ESCh. 11.1 - Factor. x12+x7+x5+1Ch. 11.1 - Prob. 78ESCh. 11.1 - Prob. 79ESCh. 11.1 - Prob. 80ESCh. 11.2 - Objective 10.6a: Multiply two binomials mentally...Ch. 11.2 - Prob. 2SRCh. 11.2 - Prob. 1DECh. 11.2 - Prob. 2DECh. 11.2 - Prob. 3DECh. 11.2 - Prob. 4DECh. 11.2 - Prob. 5DECh. 11.2 - Prob. 6DECh. 11.2 - Prob. 7DECh. 11.2 - Prob. 8DECh. 11.2 - Prob. 9DECh. 11.2 - Prob. 10DECh. 11.2 - Prob. 11DECh. 11.2 - Prob. 12DECh. 11.2 - Prob. 13DECh. 11.2 - Prob. 14DECh. 11.2 - Prob. 15DECh. 11.2 - Prob. 16DECh. 11.2 - Prob. 17DECh. 11.2 - Prob. 1RCCh. 11.2 - Prob. 2RCCh. 11.2 - Prob. 3RCCh. 11.2 - Prob. 4RCCh. 11.2 - Prob. 1ESCh. 11.2 - Prob. 2ESCh. 11.2 - Prob. 3ESCh. 11.2 - Prob. 4ESCh. 11.2 - Prob. 5ESCh. 11.2 - Prob. 6ESCh. 11.2 - Prob. 7ESCh. 11.2 - Prob. 8ESCh. 11.2 - Prob. 9ESCh. 11.2 - Prob. 10ESCh. 11.2 - Prob. 11ESCh. 11.2 - Prob. 12ESCh. 11.2 - Prob. 13ESCh. 11.2 - Prob. 14ESCh. 11.2 - Prob. 15ESCh. 11.2 - Prob. 16ESCh. 11.2 - Prob. 17ESCh. 11.2 - Prob. 18ESCh. 11.2 - Prob. 19ESCh. 11.2 - Prob. 20ESCh. 11.2 - Prob. 21ESCh. 11.2 - Prob. 22ESCh. 11.2 - Prob. 23ESCh. 11.2 - Prob. 24ESCh. 11.2 - Prob. 25ESCh. 11.2 - Prob. 26ESCh. 11.2 - Prob. 27ESCh. 11.2 - Prob. 28ESCh. 11.2 - Prob. 29ESCh. 11.2 - Prob. 30ESCh. 11.2 - Prob. 31ESCh. 11.2 - Prob. 32ESCh. 11.2 - Prob. 33ESCh. 11.2 - Prob. 34ESCh. 11.2 - Prob. 35ESCh. 11.2 - Prob. 36ESCh. 11.2 - Prob. 37ESCh. 11.2 - Prob. 38ESCh. 11.2 - Prob. 39ESCh. 11.2 - Prob. 40ESCh. 11.2 - Prob. 41ESCh. 11.2 - Prob. 42ESCh. 11.2 - Prob. 43ESCh. 11.2 - Prob. 44ESCh. 11.2 - Prob. 45ESCh. 11.2 - Prob. 46ESCh. 11.2 - Prob. 47ESCh. 11.2 - Prob. 48ESCh. 11.2 - Prob. 49ESCh. 11.2 - Prob. 50ESCh. 11.2 - Prob. 51ESCh. 11.2 - Prob. 52ESCh. 11.2 - Prob. 53ESCh. 11.2 - Prob. 54ESCh. 11.2 - Prob. 55ESCh. 11.2 - Prob. 56ESCh. 11.2 - Prob. 57ESCh. 11.2 - Prob. 58ESCh. 11.2 - Prob. 59ESCh. 11.2 - Prob. 60ESCh. 11.2 - Prob. 61ESCh. 11.2 - Prob. 62ESCh. 11.2 - Prob. 63ESCh. 11.2 - Prob. 64ESCh. 11.2 - Prob. 65ESCh. 11.2 - Prob. 66ESCh. 11.2 - Prob. 67ESCh. 11.2 - Prob. 68ESCh. 11.2 - Prob. 69ESCh. 11.2 - Prob. 70ESCh. 11.2 - Prob. 71ESCh. 11.2 - Prob. 72ESCh. 11.2 - Prob. 73ESCh. 11.2 - Prob. 74ESCh. 11.2 - Prob. 75ESCh. 11.2 - Prob. 76ESCh. 11.2 - Prob. 77ESCh. 11.2 - Prob. 78ESCh. 11.2 - Prob. 79ESCh. 11.2 - Prob. 80ESCh. 11.2 - Prob. 81ESCh. 11.2 - Prob. 82ESCh. 11.2 - Prob. 83ESCh. 11.2 - Prob. 84ESCh. 11.2 - Prob. 85ESCh. 11.2 - Prob. 86ESCh. 11.2 - Prob. 87ESCh. 11.2 - Prob. 88ESCh. 11.2 - Prob. 89ESCh. 11.2 - Prob. 90ESCh. 11.2 - Prob. 91ESCh. 11.2 - Prob. 92ESCh. 11.2 - Prob. 93ESCh. 11.2 - Prob. 94ESCh. 11.2 - Prob. 95ESCh. 11.2 - Prob. 96ESCh. 11.2 - Prob. 97ESCh. 11.2 - Prob. 98ESCh. 11.3 - Objective 10.6a: Multiply two binomials mentally...Ch. 11.3 - Prob. 2SRCh. 11.3 - Prob. 1CCE1Ch. 11.3 - Prob. 2CCE1Ch. 11.3 - Prob. 3CCE1Ch. 11.3 - Prob. 4CCE1Ch. 11.3 - Prob. 1DECh. 11.3 - Prob. 2DECh. 11.3 - Prob. 3DECh. 11.3 - Prob. 4DECh. 11.3 - Prob. 5DECh. 11.3 - Prob. 6DECh. 11.3 - Prob. 7DECh. 11.3 - Prob. 8DECh. 11.3 - Prob. 9DECh. 11.3 - Prob. 1RCCh. 11.3 - Prob. 2RCCh. 11.3 - Prob. 3RCCh. 11.3 - Prob. 4RCCh. 11.3 - Prob. 1ESCh. 11.3 - Prob. 2ESCh. 11.3 - Prob. 3ESCh. 11.3 - Prob. 4ESCh. 11.3 - Prob. 5ESCh. 11.3 - Prob. 6ESCh. 11.3 - Prob. 7ESCh. 11.3 - Prob. 8ESCh. 11.3 - Prob. 9ESCh. 11.3 - Prob. 10ESCh. 11.3 - Prob. 11ESCh. 11.3 - Prob. 12ESCh. 11.3 - Prob. 13ESCh. 11.3 - Prob. 14ESCh. 11.3 - Prob. 15ESCh. 11.3 - Prob. 16ESCh. 11.3 - Prob. 17ESCh. 11.3 - Prob. 18ESCh. 11.3 - Prob. 19ESCh. 11.3 - Prob. 20ESCh. 11.3 - Prob. 21ESCh. 11.3 - Prob. 22ESCh. 11.3 - Prob. 23ESCh. 11.3 - Prob. 24ESCh. 11.3 - Prob. 25ESCh. 11.3 - Prob. 26ESCh. 11.3 - Prob. 27ESCh. 11.3 - Prob. 28ESCh. 11.3 - Prob. 29ESCh. 11.3 - Prob. 30ESCh. 11.3 - Prob. 31ESCh. 11.3 - Prob. 32ESCh. 11.3 - Prob. 33ESCh. 11.3 - Prob. 34ESCh. 11.3 - Prob. 35ESCh. 11.3 - Prob. 36ESCh. 11.3 - Prob. 37ESCh. 11.3 - Prob. 38ESCh. 11.3 - Prob. 39ESCh. 11.3 - Prob. 40ESCh. 11.3 - Prob. 41ESCh. 11.3 - Prob. 42ESCh. 11.3 - Prob. 43ESCh. 11.3 - Prob. 44ESCh. 11.3 - Prob. 45ESCh. 11.3 - Prob. 46ESCh. 11.3 - Prob. 47ESCh. 11.3 - Prob. 48ESCh. 11.3 - Prob. 49ESCh. 11.3 - Prob. 50ESCh. 11.3 - Prob. 51ESCh. 11.3 - Prob. 52ESCh. 11.3 - Prob. 53ESCh. 11.3 - Prob. 54ESCh. 11.3 - Prob. 55ESCh. 11.3 - Prob. 56ESCh. 11.3 - Prob. 57ESCh. 11.3 - Prob. 58ESCh. 11.3 - Prob. 59ESCh. 11.3 - Prob. 60ESCh. 11.3 - Prob. 61ESCh. 11.3 - Prob. 62ESCh. 11.3 - Prob. 63ESCh. 11.3 - Prob. 64ESCh. 11.3 - Prob. 65ESCh. 11.3 - Prob. 66ESCh. 11.3 - Prob. 67ESCh. 11.3 - Prob. 68ESCh. 11.3 - Prob. 69ESCh. 11.3 - Prob. 70ESCh. 11.3 - Prob. 71ESCh. 11.3 - Prob. 72ESCh. 11.3 - Prob. 73ESCh. 11.3 - Prob. 74ESCh. 11.3 - Prob. 75ESCh. 11.3 - Prob. 76ESCh. 11.3 - Prob. 77ESCh. 11.3 - Prob. 78ESCh. 11.3 - Prob. 79ESCh. 11.3 - Prob. 80ESCh. 11.3 - Prob. 81ESCh. 11.3 - Prob. 82ESCh. 11.3 - Prob. 83ESCh. 11.3 - Prob. 84ESCh. 11.3 - Prob. 85ESCh. 11.3 - Prob. 86ESCh. 11.3 - Prob. 87ESCh. 11.3 - Prob. 88ESCh. 11.3 - Prob. 89ESCh. 11.3 - Prob. 90ESCh. 11.3 - Use the table feature to check the factoring in...Ch. 11.3 - Prob. 92ESCh. 11.3 - Prob. 93ESCh. 11.3 - Prob. 94ESCh. 11.4 - Objective 11.1c: Factor certain expressions with...Ch. 11.4 - Prob. 2SRCh. 11.4 - Prob. 1DECh. 11.4 - Prob. 2DECh. 11.4 - Prob. 3DECh. 11.4 - Prob. 4DECh. 11.4 - Prob. 1RCCh. 11.4 - Prob. 2RCCh. 11.4 - Prob. 3RCCh. 11.4 - Prob. 4RCCh. 11.4 - Prob. 1ESCh. 11.4 - Prob. 2ESCh. 11.4 - Prob. 3ESCh. 11.4 - Prob. 4ESCh. 11.4 - Prob. 5ESCh. 11.4 - a Factor. Note that the middle term has already...Ch. 11.4 - Prob. 7ESCh. 11.4 - Prob. 8ESCh. 11.4 - Prob. 9ESCh. 11.4 - a
Factor. Note that the middle term has already...Ch. 11.4 - a
Factor. Note that the middle term has already...Ch. 11.4 - Prob. 12ESCh. 11.4 - a Factor. Note that the middle term has already...Ch. 11.4 - a Factor. Note that the middle term has already...Ch. 11.4 - Prob. 15ESCh. 11.4 - Prob. 16ESCh. 11.4 - Prob. 17ESCh. 11.4 - Prob. 18ESCh. 11.4 - Prob. 19ESCh. 11.4 - Prob. 20ESCh. 11.4 - Prob. 21ESCh. 11.4 - Prob. 22ESCh. 11.4 - Prob. 23ESCh. 11.4 - Prob. 24ESCh. 11.4 - Prob. 25ESCh. 11.4 - Prob. 26ESCh. 11.4 - Prob. 27ESCh. 11.4 - Prob. 28ESCh. 11.4 - Prob. 29ESCh. 11.4 - Prob. 30ESCh. 11.4 - Prob. 31ESCh. 11.4 - Prob. 32ESCh. 11.4 - Prob. 33ESCh. 11.4 - Prob. 34ESCh. 11.4 - Prob. 35ESCh. 11.4 - Prob. 36ESCh. 11.4 - Prob. 37ESCh. 11.4 - Prob. 38ESCh. 11.4 - Prob. 39ESCh. 11.4 - Prob. 40ESCh. 11.4 - Prob. 41ESCh. 11.4 - Prob. 42ESCh. 11.4 - Prob. 43ESCh. 11.4 - Prob. 44ESCh. 11.4 - Prob. 45ESCh. 11.4 - Prob. 46ESCh. 11.4 - Prob. 47ESCh. 11.4 - Prob. 48ESCh. 11.4 - Factor using the ac-method.
49.
Ch. 11.4 - Prob. 50ESCh. 11.4 - Prob. 51ESCh. 11.4 - Prob. 52ESCh. 11.4 - Prob. 53ESCh. 11.4 - Prob. 54ESCh. 11.4 - Prob. 55ESCh. 11.4 - Prob. 56ESCh. 11.4 - Prob. 57ESCh. 11.4 - Prob. 58ESCh. 11.4 - Prob. 59ESCh. 11.4 - Prob. 60ESCh. 11.4 - Prob. 61ESCh. 11.4 - Prob. 62ESCh. 11.4 - Prob. 63ESCh. 11.4 - Prob. 64ESCh. 11.4 - Prob. 65ESCh. 11.4 - Prob. 66ESCh. 11.4 - Prob. 67ESCh. 11.4 - Prob. 68ESCh. 11.4 - Prob. 69ESCh. 11.4 - Prob. 70ESCh. 11.4 - Prob. 71ESCh. 11.4 - Prob. 72ESCh. 11.4 - Prob. 73ESCh. 11.4 - Prob. 74ESCh. 11.4 - Prob. 75ESCh. 11.4 - Prob. 76ESCh. 11.4 - Prob. 77ESCh. 11.4 - Prob. 78ESCh. 11.4 - Prob. 79ESCh. 11.4 - Prob. 80ESCh. 11.4 - Prob. 81ESCh. 11.4 - Prob. 82ESCh. 11.4 - Prob. 83ESCh. 11.4 - Prob. 84ESCh. 11.4 - Prob. 85ESCh. 11.4 - Prob. 86ESCh. 11.4 - Prob. 87ESCh. 11.4 - Prob. 88ESCh. 11.4 - Prob. 89ESCh. 11.4 - Prob. 90ESCh. 11.4 - Prob. 91ESCh. 11.4 - Prob. 92ESCh. 11.4 - Prob. 93ESCh. 11.4 - Prob. 94ESCh. 11.4 - Prob. 95ESCh. 11.4 - Prob. 96ESCh. 11.4 - Prob. 97ESCh. 11.4 - Prob. 98ESCh. 11.4 - Prob. 99ESCh. 11.4 - Prob. 100ESCh. 11.4 - Prob. 101ESCh. 11.4 - Prob. 102ESCh. 11.4 - Prob. 103ESCh. 11.4 - Prob. 104ESCh. 11.4 - Prob. 105ESCh. 11.4 - Prob. 106ESCh. 11.4 - Prob. 107ESCh. 11.4 - Prob. 108ESCh. 11.4 - Prob. 109ESCh. 11.4 - Prob. 110ESCh. 11.4 - Prob. 111ESCh. 11.4 - Prob. 112ESCh. 11.4 - Prob. 1MCRCh. 11.4 - Prob. 2MCRCh. 11.4 - Prob. 3MCRCh. 11.4 - Determine whether each statement is true or...Ch. 11.4 - Prob. 5MCRCh. 11.4 - Prob. 6MCRCh. 11.4 - Prob. 7MCRCh. 11.4 - Prob. 8MCRCh. 11.4 - Prob. 9MCRCh. 11.4 - Prob. 10MCRCh. 11.4 - Prob. 11MCRCh. 11.4 - Prob. 12MCRCh. 11.4 - Prob. 13MCRCh. 11.4 - Prob. 14MCRCh. 11.4 - Prob. 15MCRCh. 11.4 - Prob. 16MCRCh. 11.4 - Prob. 17MCRCh. 11.4 - Prob. 18MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 20MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 22MCRCh. 11.4 - Prob. 23MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 26MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 28MCRCh. 11.4 - Prob. 29MCRCh. 11.4 - Prob. 30MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 32MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 34MCRCh. 11.4 - Prob. 35MCRCh. 11.4 - Prob. 36MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 38MCRCh. 11.4 - Prob. 39MCRCh. 11.4 - Prob. 40MCRCh. 11.4 - Prob. 41MCRCh. 11.4 - Prob. 42MCRCh. 11.4 - Prob. 43MCRCh. 11.4 - Prob. 44MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 46MCRCh. 11.4 - Prob. 47MCRCh. 11.4 - Prob. 48MCRCh. 11.4 - Factor completely. [11.1b, c], [11.2a], [11.3a],...Ch. 11.4 - Prob. 50MCRCh. 11.4 - Prob. 51MCRCh. 11.4 - Prob. 52MCRCh. 11.4 - Prob. 53MCRCh. 11.4 - Prob. 54MCRCh. 11.4 - Prob. 55MCRCh. 11.4 - Prob. 56MCRCh. 11.4 - Prob. 57MCRCh. 11.4 - Prob. 58MCRCh. 11.4 - Prob. 59MCRCh. 11.4 - Prob. 60MCRCh. 11.4 - Prob. 61MCRCh. 11.4 - Prob. 62MCRCh. 11.4 - Prob. 63MCRCh. 11.4 - Prob. 64MCRCh. 11.4 - Prob. 65MCRCh. 11.4 - Prob. 66MCRCh. 11.4 - Prob. 67MCRCh. 11.4 - Prob. 68MCRCh. 11.4 - Prob. 69MCRCh. 11.5 - Determine whether each is a trinomial square....Ch. 11.5 - Prob. 2DECh. 11.5 - Prob. 3DECh. 11.5 - Prob. 4DECh. 11.5 - Prob. 5DECh. 11.5 - Prob. 6DECh. 11.5 - Prob. 7DECh. 11.5 - Prob. 8DECh. 11.5 - Prob. 9DECh. 11.5 - Prob. 10DECh. 11.5 - Prob. 11DECh. 11.5 - Prob. 12DECh. 11.5 - Prob. 13DECh. 11.5 - Prob. 14DECh. 11.5 - Prob. 15DECh. 11.5 - Prob. 16DECh. 11.5 - Prob. 17DECh. 11.5 - Prob. 18DECh. 11.5 - Prob. 19DECh. 11.5 - Prob. 20DECh. 11.5 - Prob. 21DECh. 11.5 - Prob. 22DECh. 11.5 - Prob. 23DECh. 11.5 - Prob. 24DECh. 11.5 - Prob. 25DECh. 11.5 - Prob. 26DECh. 11.5 - Prob. 27DECh. 11.5 - Prob. 28DECh. 11.5 - Prob. 29DECh. 11.5 - Prob. 30DECh. 11.5 - Prob. 31DECh. 11.5 - Prob. 32DECh. 11.5 - Prob. 1RCCh. 11.5 - Prob. 2RCCh. 11.5 - Prob. 3RCCh. 11.5 - Prob. 4RCCh. 11.5 - Prob. 1ESCh. 11.5 - Prob. 2ESCh. 11.5 - Prob. 3ESCh. 11.5 - Prob. 4ESCh. 11.5 - Prob. 5ESCh. 11.5 - Prob. 6ESCh. 11.5 - Prob. 7ESCh. 11.5 - Prob. 8ESCh. 11.5 - Prob. 9ESCh. 11.5 - Prob. 10ESCh. 11.5 - Prob. 11ESCh. 11.5 - Prob. 12ESCh. 11.5 - Prob. 13ESCh. 11.5 - Prob. 14ESCh. 11.5 - Prob. 15ESCh. 11.5 - Prob. 16ESCh. 11.5 - Prob. 17ESCh. 11.5 - Prob. 18ESCh. 11.5 - Prob. 19ESCh. 11.5 - Prob. 20ESCh. 11.5 - Prob. 21ESCh. 11.5 - Prob. 22ESCh. 11.5 - Prob. 23ESCh. 11.5 - Prob. 24ESCh. 11.5 - Prob. 25ESCh. 11.5 - Prob. 26ESCh. 11.5 - Prob. 27ESCh. 11.5 - Prob. 28ESCh. 11.5 - Prob. 29ESCh. 11.5 - Prob. 30ESCh. 11.5 - Prob. 31ESCh. 11.5 - Prob. 32ESCh. 11.5 - Prob. 33ESCh. 11.5 - Prob. 34ESCh. 11.5 - Prob. 35ESCh. 11.5 - Prob. 36ESCh. 11.5 - Prob. 37ESCh. 11.5 - Prob. 38ESCh. 11.5 - Prob. 39ESCh. 11.5 - Prob. 40ESCh. 11.5 - Prob. 41ESCh. 11.5 - Prob. 42ESCh. 11.5 - Prob. 43ESCh. 11.5 - Prob. 44ESCh. 11.5 - Prob. 45ESCh. 11.5 - Prob. 46ESCh. 11.5 - Prob. 47ESCh. 11.5 - Prob. 48ESCh. 11.5 - Prob. 49ESCh. 11.5 - Prob. 50ESCh. 11.5 - Prob. 51ESCh. 11.5 - Prob. 52ESCh. 11.5 - Prob. 53ESCh. 11.5 - Prob. 54ESCh. 11.5 - Prob. 55ESCh. 11.5 - Prob. 56ESCh. 11.5 - Prob. 57ESCh. 11.5 - Prob. 58ESCh. 11.5 - Prob. 59ESCh. 11.5 - Prob. 60ESCh. 11.5 - Prob. 61ESCh. 11.5 - Prob. 62ESCh. 11.5 - Prob. 63ESCh. 11.5 - Prob. 64ESCh. 11.5 - Prob. 65ESCh. 11.5 - Prob. 66ESCh. 11.5 - Prob. 67ESCh. 11.5 - Prob. 68ESCh. 11.5 - Prob. 69ESCh. 11.5 - Prob. 70ESCh. 11.5 - Prob. 71ESCh. 11.5 - Prob. 72ESCh. 11.5 - Prob. 73ESCh. 11.5 - Prob. 74ESCh. 11.5 - Prob. 75ESCh. 11.5 - Prob. 76ESCh. 11.5 - Prob. 77ESCh. 11.5 - Prob. 78ESCh. 11.5 - Prob. 79ESCh. 11.5 - Prob. 80ESCh. 11.5 - Prob. 81ESCh. 11.5 - Prob. 82ESCh. 11.5 - Prob. 83ESCh. 11.5 - Prob. 84ESCh. 11.5 - Prob. 85ESCh. 11.5 - Prob. 86ESCh. 11.5 - Prob. 87ESCh. 11.5 - Prob. 88ESCh. 11.5 - Prob. 89ESCh. 11.5 - Prob. 90ESCh. 11.5 - Prob. 91ESCh. 11.5 - Prob. 92ESCh. 11.5 - Prob. 93ESCh. 11.5 - Prob. 94ESCh. 11.5 - Prob. 95ESCh. 11.5 - Prob. 96ESCh. 11.5 - Prob. 97ESCh. 11.5 - Prob. 98ESCh. 11.5 - Prob. 99ESCh. 11.5 - Prob. 100ESCh. 11.5 - Prob. 101ESCh. 11.5 - Prob. 102ESCh. 11.5 - Prob. 103ESCh. 11.5 - Prob. 104ESCh. 11.5 - Prob. 105ESCh. 11.5 - Prob. 106ESCh. 11.5 - Prob. 107ESCh. 11.5 - Prob. 108ESCh. 11.5 - Prob. 109ESCh. 11.5 - Prob. 110ESCh. 11.5 - Prob. 111ESCh. 11.5 - Prob. 112ESCh. 11.5 - Prob. 113ESCh. 11.5 - Prob. 114ESCh. 11.5 - Prob. 115ESCh. 11.5 - Prob. 116ESCh. 11.5 - Prob. 117ESCh. 11.5 - Prob. 118ESCh. 11.5 - Prob. 119ESCh. 11.5 - Prob. 120ESCh. 11.5 - Prob. 121ESCh. 11.5 - Prob. 122ESCh. 11.5 - Prob. 123ESCh. 11.5 - Prob. 124ESCh. 11.5 - Prob. 125ESCh. 11.5 - Prob. 126ESCh. 11.5 - Prob. 127ESCh. 11.5 - Prob. 128ESCh. 11.5 - Prob. 129ESCh. 11.5 - Prob. 130ESCh. 11.5 - Prob. 131ESCh. 11.5 - Prob. 132ESCh. 11.6 - Objective 10.7f: Multiply polynomials. Multiply....Ch. 11.6 - Prob. 2SRCh. 11.6 - Prob. 1DECh. 11.6 - Prob. 2DECh. 11.6 - Prob. 3DECh. 11.6 - Prob. 4DECh. 11.6 - Prob. 5DECh. 11.6 - Prob. 6DECh. 11.6 - Prob. 7DECh. 11.6 - Prob. 8DECh. 11.6 - Factor.
9.
Ch. 11.6 - Prob. 10DECh. 11.6 - Prob. 11DECh. 11.6 - Prob. 12DECh. 11.6 - Prob. 1RCCh. 11.6 - Prob. 2RCCh. 11.6 - Prob. 3RCCh. 11.6 - Prob. 4RCCh. 11.6 - Prob. 5RCCh. 11.6 - Prob. 6RCCh. 11.6 - Prob. 1ESCh. 11.6 - Prob. 2ESCh. 11.6 - Prob. 3ESCh. 11.6 - Prob. 4ESCh. 11.6 - Prob. 5ESCh. 11.6 - Prob. 6ESCh. 11.6 - Prob. 7ESCh. 11.6 - Prob. 8ESCh. 11.6 - Prob. 9ESCh. 11.6 - Prob. 10ESCh. 11.6 - Prob. 11ESCh. 11.6 - Prob. 12ESCh. 11.6 - Prob. 13ESCh. 11.6 - Prob. 14ESCh. 11.6 - Prob. 15ESCh. 11.6 - Prob. 16ESCh. 11.6 - Prob. 17ESCh. 11.6 - Prob. 18ESCh. 11.6 - Prob. 19ESCh. 11.6 - Prob. 20ESCh. 11.6 - Prob. 21ESCh. 11.6 - Prob. 22ESCh. 11.6 - Prob. 23ESCh. 11.6 - Prob. 24ESCh. 11.6 - Prob. 25ESCh. 11.6 - Prob. 26ESCh. 11.6 - Prob. 27ESCh. 11.6 - Prob. 28ESCh. 11.6 - Prob. 29ESCh. 11.6 - Prob. 30ESCh. 11.6 - Prob. 31ESCh. 11.6 - Prob. 32ESCh. 11.6 - Prob. 33ESCh. 11.6 - Prob. 34ESCh. 11.6 - Prob. 35ESCh. 11.6 - Prob. 36ESCh. 11.6 - Prob. 37ESCh. 11.6 - Prob. 38ESCh. 11.6 - Prob. 39ESCh. 11.6 - Prob. 40ESCh. 11.6 - Prob. 41ESCh. 11.6 - Prob. 42ESCh. 11.6 - Prob. 43ESCh. 11.6 - Prob. 44ESCh. 11.6 - Prob. 45ESCh. 11.6 - Prob. 46ESCh. 11.6 - Prob. 47ESCh. 11.6 - Prob. 48ESCh. 11.6 - Prob. 49ESCh. 11.6 - Prob. 50ESCh. 11.6 - Prob. 51ESCh. 11.6 - Prob. 52ESCh. 11.6 - Prob. 53ESCh. 11.6 - Prob. 54ESCh. 11.6 - Prob. 55ESCh. 11.6 - Prob. 56ESCh. 11.6 - Prob. 57ESCh. 11.6 - Prob. 58ESCh. 11.6 - Prob. 59ESCh. 11.6 - Prob. 60ESCh. 11.6 - Prob. 61ESCh. 11.6 - Prob. 62ESCh. 11.6 - Prob. 63ESCh. 11.6 - Prob. 64ESCh. 11.6 - Prob. 65ESCh. 11.6 - Prob. 66ESCh. 11.6 - Prob. 67ESCh. 11.6 - Prob. 68ESCh. 11.6 - Prob. 69ESCh. 11.6 - Prob. 70ESCh. 11.6 - Prob. 71ESCh. 11.6 - Prob. 72ESCh. 11.6 - Prob. 73ESCh. 11.6 - Prob. 74ESCh. 11.6 - a
Factor completely.
75.
Ch. 11.6 - a Factor completely. m37m24m+28Ch. 11.6 - Prob. 77ESCh. 11.6 - Prob. 78ESCh. 11.6 - Prob. 79ESCh. 11.6 - Prob. 80ESCh. 11.6 - Prob. 81ESCh. 11.6 - Prob. 82ESCh. 11.6 - Prob. 83ESCh. 11.6 - Prob. 84ESCh. 11.6 - Prob. 85ESCh. 11.6 - Prob. 86ESCh. 11.6 - Prob. 87ESCh. 11.6 - Prob. 88ESCh. 11.6 - Prob. 89ESCh. 11.6 - Prob. 90ESCh. 11.6 - Factor completely.
91.
Ch. 11.6 - Prob. 92ESCh. 11.6 - Prob. 93ESCh. 11.6 - Prob. 94ESCh. 11.6 - Factor completely.
95.
Ch. 11.6 - Prob. 96ESCh. 11.6 - Prob. 97ESCh. 11.6 - Prob. 98ESCh. 11.6 - Prob. 99ESCh. 11.7 - Objective 8.3a: Solve equations using both the...Ch. 11.7 - Prob. 2SRCh. 11.7 - Prob. 1DECh. 11.7 - Prob. 2DECh. 11.7 - Prob. 3DECh. 11.7 - Prob. 4DECh. 11.7 - Prob. 1CCE1Ch. 11.7 - Prob. 5DECh. 11.7 - Prob. 6DECh. 11.7 - Prob. 7DECh. 11.7 - Prob. 8DECh. 11.7 - Prob. 9DECh. 11.7 - Prob. 10DECh. 11.7 - Prob. 11DECh. 11.7 - Prob. 12DECh. 11.7 - Prob. 13DECh. 11.7 - Prob. 14DECh. 11.7 - Prob. 1RCCh. 11.7 - Prob. 2RCCh. 11.7 - Prob. 3RCCh. 11.7 - Prob. 4RCCh. 11.7 - Prob. 1ESCh. 11.7 - Prob. 2ESCh. 11.7 - Prob. 3ESCh. 11.7 - Prob. 4ESCh. 11.7 - Prob. 5ESCh. 11.7 - Prob. 6ESCh. 11.7 - Prob. 7ESCh. 11.7 - Prob. 8ESCh. 11.7 - Prob. 9ESCh. 11.7 - Prob. 10ESCh. 11.7 - Prob. 11ESCh. 11.7 - Prob. 12ESCh. 11.7 - Prob. 13ESCh. 11.7 - Prob. 14ESCh. 11.7 - Prob. 15ESCh. 11.7 - Prob. 16ESCh. 11.7 - Prob. 17ESCh. 11.7 - Prob. 18ESCh. 11.7 - Prob. 19ESCh. 11.7 - Prob. 20ESCh. 11.7 - Prob. 21ESCh. 11.7 - Prob. 22ESCh. 11.7 - Prob. 23ESCh. 11.7 - Prob. 24ESCh. 11.7 - Prob. 25ESCh. 11.7 - Prob. 26ESCh. 11.7 - Prob. 27ESCh. 11.7 - Prob. 28ESCh. 11.7 - Prob. 29ESCh. 11.7 - Prob. 30ESCh. 11.7 - Prob. 31ESCh. 11.7 - Prob. 32ESCh. 11.7 - Prob. 33ESCh. 11.7 - Prob. 34ESCh. 11.7 - Prob. 35ESCh. 11.7 - Prob. 36ESCh. 11.7 - Prob. 37ESCh. 11.7 - Prob. 38ESCh. 11.7 - Prob. 39ESCh. 11.7 - Prob. 40ESCh. 11.7 - Prob. 41ESCh. 11.7 - Prob. 42ESCh. 11.7 - Prob. 43ESCh. 11.7 - Prob. 44ESCh. 11.7 - Prob. 45ESCh. 11.7 - Prob. 46ESCh. 11.7 - Prob. 47ESCh. 11.7 - Prob. 48ESCh. 11.7 - Prob. 49ESCh. 11.7 - Prob. 50ESCh. 11.7 - Prob. 51ESCh. 11.7 - Prob. 52ESCh. 11.7 - Prob. 53ESCh. 11.7 - Prob. 54ESCh. 11.7 - Prob. 55ESCh. 11.7 - Prob. 56ESCh. 11.7 - Prob. 57ESCh. 11.7 - Prob. 58ESCh. 11.7 - Prob. 59ESCh. 11.7 - Prob. 60ESCh. 11.7 - Prob. 61ESCh. 11.7 - Prob. 62ESCh. 11.7 - Prob. 63ESCh. 11.7 - Prob. 64ESCh. 11.7 - Prob. 65ESCh. 11.7 - Prob. 66ESCh. 11.7 - Prob. 67ESCh. 11.7 - Prob. 68ESCh. 11.7 - Prob. 69ESCh. 11.7 - Prob. 70ESCh. 11.7 - Prob. 71ESCh. 11.7 - Prob. 72ESCh. 11.7 - Prob. 73ESCh. 11.7 - Prob. 74ESCh. 11.7 - Prob. 75ESCh. 11.7 - Prob. 76ESCh. 11.7 - Prob. 77ESCh. 11.7 - Prob. 78ESCh. 11.7 - Prob. 79ESCh. 11.7 - Prob. 80ESCh. 11.7 - Prob. 81ESCh. 11.7 - Prob. 82ESCh. 11.7 - Prob. 83ESCh. 11.8 - Objective 8.6a: Solve applied problems by...Ch. 11.8 - Prob. 2SRCh. 11.8 - Prob. 1DECh. 11.8 - Prob. 2DECh. 11.8 - Prob. 3DECh. 11.8 - Prob. 4DECh. 11.8 - Prob. 5DECh. 11.8 - Prob. 6DECh. 11.8 - Prob. 1TFSCh. 11.8 - Prob. 2TFSCh. 11.8 - Prob. 3TFSCh. 11.8 - Prob. 4TFSCh. 11.8 - Prob. 5TFSCh. 11.8 - Prob. 6TFSCh. 11.8 - Prob. 8TFSCh. 11.8 - Prob. 9TFSCh. 11.8 - Prob. 10TFSCh. 11.8 - Prob. 1RCCh. 11.8 - Prob. 2RCCh. 11.8 - Prob. 3RCCh. 11.8 - Prob. 4RCCh. 11.8 - Prob. 1ESCh. 11.8 - Prob. 2ESCh. 11.8 - Prob. 3ESCh. 11.8 - Prob. 4ESCh. 11.8 - Prob. 5ESCh. 11.8 - Prob. 6ESCh. 11.8 - Prob. 7ESCh. 11.8 - a
Solve.
8. Dimensions of a Sail. The height of...Ch. 11.8 - Prob. 9ESCh. 11.8 - Prob. 10ESCh. 11.8 - Prob. 11ESCh. 11.8 - Games in a League. Use for Exercises 9–12.
12. A...Ch. 11.8 - Handshakes. Dr. Benton wants to investigate the...Ch. 11.8 - Handshakes. Dr. Benton wants to investigate the...Ch. 11.8 - Prob. 15ESCh. 11.8 - Prob. 16ESCh. 11.8 - Prob. 17ESCh. 11.8 - Prob. 18ESCh. 11.8 - Prob. 19ESCh. 11.8 - Prob. 20ESCh. 11.8 - Prob. 21ESCh. 11.8 - Prob. 22ESCh. 11.8 - Prob. 23ESCh. 11.8 - Prob. 24ESCh. 11.8 - Right-Triangle Geometry. The length of one leg of...Ch. 11.8 - Prob. 26ESCh. 11.8 - Prob. 27ESCh. 11.8 - Prob. 28ESCh. 11.8 - Prob. 29ESCh. 11.8 - Prob. 30ESCh. 11.8 - Prob. 31ESCh. 11.8 - Prob. 32ESCh. 11.8 - Prob. 33ESCh. 11.8 - Prob. 34ESCh. 11.8 - Prob. 35ESCh. 11.8 - Prob. 36ESCh. 11.8 - Prob. 37ESCh. 11.8 - Prob. 38ESCh. 11.8 - Prob. 39ESCh. 11.8 - Prob. 40ESCh. 11.8 - Prob. 41ESCh. 11.8 - Prob. 42ESCh. 11.8 - Prob. 43ESCh. 11.8 - Prob. 44ESCh. 11.8 - Prob. 45ESCh. 11.8 - Prob. 46ESCh. 11.8 - Prob. 47ESCh. 11.8 - Prob. 48ESCh. 11.8 - Prob. 49ESCh. 11.8 - Prob. 50ESCh. 11 - Complete each statement with the correct term from...Ch. 11 - Prob. 2VRCh. 11 - Prob. 3VRCh. 11 - Prob. 4VRCh. 11 - Prob. 5VRCh. 11 - Prob. 6VRCh. 11 - Prob. 7VRCh. 11 - Prob. 8VRCh. 11 - Prob. 1CORCh. 11 - Prob. 2CORCh. 11 - Prob. 3CORCh. 11 - Prob. 4CORCh. 11 - Prob. 1SGPECh. 11 - Prob. 2SGPECh. 11 - 3. Factor by grouping.
Ch. 11 - Prob. 4SGPECh. 11 - Prob. 5SGPECh. 11 - Prob. 6SGPECh. 11 - Prob. 7SGPECh. 11 - Prob. 8SGPECh. 11 - Prob. 9SGPECh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Factor completely. [11.6a]
32.
Ch. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - 52. Use the information in the figure below to...Ch. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 1UTDWCh. 11 - Prob. 2UTDWCh. 11 - Prob. 3UTDWCh. 11 - Prob. 4UTDWCh. 11 - Prob. 5UTDWCh. 11 - Prob. 1TCh. 11 - Prob. 2TCh. 11 - Prob. 3TCh. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - Prob. 6TCh. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Prob. 11TCh. 11 - Prob. 12TCh. 11 - Prob. 13TCh. 11 - Prob. 14TCh. 11 - Prob. 15TCh. 11 - Prob. 16TCh. 11 - Factor completely.
17.
Ch. 11 - Prob. 18TCh. 11 - Prob. 19TCh. 11 - Prob. 20TCh. 11 - Prob. 21TCh. 11 - Prob. 22TCh. 11 - Prob. 23TCh. 11 - Prob. 24TCh. 11 - Prob. 25TCh. 11 - Prob. 26TCh. 11 - Prob. 27TCh. 11 - Prob. 28TCh. 11 - Prob. 29TCh. 11 - Prob. 30TCh. 11 - Prob. 31TCh. 11 - Prob. 32TCh. 11 - Prob. 33TCh. 11 - Prob. 34T
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- 8. An elementary single period market model has a risky asset with price So = 20 at the beginning and a money market account with interest rate r = 0.04 compounded only once at the end of the investment period. = = In market model A, S₁ 10 with 15% probability and S₁ 21 with 85% probability. In market model B, S₁ = 25 with 10% probability and S₁ = 30 with 90% probability. For each market model A, B, determine if the model is arbitrage-free. If not, construct an arbitrage. Total [9 Marks]arrow_forwardb) Solve the following linear program using the 2-phase simplex algorithm. You should give the initial tableau, and each further tableau produced during the execution of the algorithm. If the program has an optimal solution, give this solution and state its objective value. If it does not have an optimal solution, say why. maximize ₁ - 2x2+x34x4 subject to 2x1+x22x3x41, 5x1 + x2-x3-×4 ≤ −1, 2x1+x2-x3-34 2, 1, 2, 3, 40.arrow_forwardSuppose we have a linear program in standard equation form maximize cTx subject to Ax = b. x ≥ 0. and suppose u, v, and w are all optimal solutions to this linear program. (a) Prove that zu+v+w is an optimal solution. (b) If you try to adapt your proof from part (a) to prove that that u+v+w is an optimal solution, say exactly which part(s) of the proof go wrong. (c) If you try to adapt your proof from part (a) to prove that u+v-w is an optimal solution, say exactly which part(s) of the proof go wrong.arrow_forward
- a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in standard inequality form (with 3 variables and 4 constraints) and suppose that we have reached a point where we have obtained the following tableau. Apply one more pivot operation, indicating the highlighted row and column and the row operations you carry out. What can you conclude from your updated tableau? x1 x2 x3 81 82 83 84 81 -2 0 1 1 0 0 0 3 82 3 0 -2 0 1 2 0 6 12 1 1 -3 0 0 1 0 2 84 -3 0 2 0 0 -1 1 4 -2 -2 0 11 0 0-4 0 -8arrow_forwardMicrosoft Excel snapshot for random sampling: Also note the formula used for the last column 02 x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51)) A B 1 No. States 2 1 ALABAMA Rand No. 0.925957526 3 2 ALASKA 0.372999976 4 3 ARIZONA 0.941323044 5 4 ARKANSAS 0.071266381 Random Sample CALIFORNIA NORTH CAROLINA ARKANSAS WASHINGTON G7 Microsoft Excel snapshot for systematic sampling: xfx INDEX(SD52:50551, F7) A B E F G 1 No. States Rand No. Random Sample population 50 2 1 ALABAMA 0.5296685 NEW HAMPSHIRE sample 10 3 2 ALASKA 0.4493186 OKLAHOMA k 5 4 3 ARIZONA 0.707914 KANSAS 5 4 ARKANSAS 0.4831379 NORTH DAKOTA 6 5 CALIFORNIA 0.7277162 INDIANA Random Sample Sample Name 7 6 COLORADO 0.5865002 MISSISSIPPI 8 7:ONNECTICU 0.7640596 ILLINOIS 9 8 DELAWARE 0.5783029 MISSOURI 525 10 15 INDIANA MARYLAND COLORADOarrow_forwardThe spread of an infectious disease is often modeled using the following autonomous differential equation: dI - - BI(N − I) − MI, dt where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of transmission, and μ is the rate at which people recover from infection. Close a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria. b) (5 points) For the equilbria in part a), determine whether each is stable or unstable. c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the dt function by hand.) Identify the equilibria as stable or unstable in the graph. d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.arrow_forward
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Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
Polynomials with Trigonometric Solutions (2 of 3: Substitute & solve); Author: Eddie Woo;https://www.youtube.com/watch?v=EnfhYp4o20w;License: Standard YouTube License, CC-BY
Quick Revision of Polynomials | Tricks to Solve Polynomials in Algebra | Maths Tricks | Letstute; Author: Let'stute;https://www.youtube.com/watch?v=YmDnGcol-gs;License: Standard YouTube License, CC-BY
Introduction to Polynomials; Author: Professor Dave Explains;https://www.youtube.com/watch?v=nPPNgin7W7Y;License: Standard Youtube License