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High School Math Algebra Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)

a. To determine: the average rate of change of the function over the intervals 0 , 1 , 1 , 2 , 2 , 3 , and 3 , 4 . The average rate of change of the function over the intervals 0 , 1 , 1 , 2 , 2 , 3 , and 3 , 4 are 224 , 56 , − 64 and − 136 . Given information: The volume V of the box is V = x 18 − 2 x 18 − 4 x Concept Used: Average rate of change: The average rate of change of a function f x over an interval a , b is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using f b − f a b − a . Calculation: Evaluate the value of V 0 , V 1 , V 2 and V 3 . V 0 = 0 18 − 2 ( 0 ) 18 − 4 ( 0 ) = 0 V 1 = 1 18 − 2 ( 1 ) 18 − 4 ( 1 ) = 224 V 2 = 2 18 − 2 ( 2 ) 18 − 4 ( 2 ) = 280 V 3 = 3 18 − 2 ( 3 ) 18 − 4 ( 3 ) = 216 V 4 = 4 18 − 2 ( 4 ) 18 − 4 ( 4 ) = 80 The average rate of change of the function over the intervals 0 , 1 are 224 − 0 1 − 0 = 224 . The average rate of change of the function over the intervals 1 , 2 are 280 − 224 2 − 1 = 56 . The average rate of change of the function over the intervals 2 , 3 are 216 − 280 3 − 2 = − 64 . The average rate of change of the function over the intervals 3 , 4 are 80 − 216 4 − 3 = − 136 . b. To determine: the maximum and minimum value occur over any intervals in part(a). The maximum value is 224 over the interval of 0 , 1 . The minimum value is − 136 over the interval of 4 , 3 . Given information: The volume V of the box is V = x 18 − 2 x 18 − 4 x Concept Used: Average rate of change: The average rate of change of a function f x over an interval a , b is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using f b − f a b − a . Calculation: The average rate of change of the function over the intervals 0 , 1 are 224 − 0 1 − 0 = 224 . The average rate of change of the function over the intervals 1 , 2 are 280 − 224 2 − 1 = 56 . The average rate of change of the function over the intervals 2 , 3 are 216 − 280 3 − 2 = − 64 . The average rate of change of the function over the intervals 3 , 4 are 80 − 216 4 − 3 = − 136 . From the above, it is observed that the maximum and minimum values occur in the interval 0 , 1 and 3 , 4

a. To determine: the average rate of change of the function over the intervals 0 , 1 , 1 , 2 , 2 , 3 , and 3 , 4 . The average rate of change of the function over the intervals 0 , 1 , 1 , 2 , 2 , 3 , and 3 , 4 are 224 , 56 , − 64 and − 136 . Given information: The volume V of the box is V = x 18 − 2 x 18 − 4 x Concept Used: Average rate of change: The average rate of change of a function f x over an interval a , b is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using f b − f a b − a . Calculation: Evaluate the value of V 0 , V 1 , V 2 and V 3 . V 0 = 0 18 − 2 ( 0 ) 18 − 4 ( 0 ) = 0 V 1 = 1 18 − 2 ( 1 ) 18 − 4 ( 1 ) = 224 V 2 = 2 18 − 2 ( 2 ) 18 − 4 ( 2 ) = 280 V 3 = 3 18 − 2 ( 3 ) 18 − 4 ( 3 ) = 216 V 4 = 4 18 − 2 ( 4 ) 18 − 4 ( 4 ) = 80 The average rate of change of the function over the intervals 0 , 1 are 224 − 0 1 − 0 = 224 . The average rate of change of the function over the intervals 1 , 2 are 280 − 224 2 − 1 = 56 . The average rate of change of the function over the intervals 2 , 3 are 216 − 280 3 − 2 = − 64 . The average rate of change of the function over the intervals 3 , 4 are 80 − 216 4 − 3 = − 136 . b. To determine: the maximum and minimum value occur over any intervals in part(a). The maximum value is 224 over the interval of 0 , 1 . The minimum value is − 136 over the interval of 4 , 3 . Given information: The volume V of the box is V = x 18 − 2 x 18 − 4 x Concept Used: Average rate of change: The average rate of change of a function f x over an interval a , b is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using f b − f a b − a . Calculation: The average rate of change of the function over the intervals 0 , 1 are 224 − 0 1 − 0 = 224 . The average rate of change of the function over the intervals 1 , 2 are 280 − 224 2 − 1 = 56 . The average rate of change of the function over the intervals 2 , 3 are 216 − 280 3 − 2 = − 64 . The average rate of change of the function over the intervals 3 , 4 are 80 − 216 4 − 3 = − 136 . From the above, it is observed that the maximum and minimum values occur in the interval 0 , 1 and 3 , 4

Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)

Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)

2nd Edition

ISBN: 9780618912407

Author: MCDOUGAL LITTEL

Publisher: Mcdougal Littel

See similar textbooks

Expert Solution & Answer

Chapter 5.7, Problem 32PS

Solution

a.

To determine: the average rate of change of the function over the intervals 0,1,1,2,2,3, and 3,4 .

The average rate of change of the function over the intervals 0,1,1,2,2,3, and 3,4 are 224,56,−64 and −136 .

Given information:

The volume V of the box is V=x18−2x18−4x

Concept Used:

Average rate of change:

The average rate of change of a function fx over an interval a,b is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using fb−fab−a .

Calculation:

Evaluate the value of V0,V1,V2 and V3 .

V0=018−2(0)18−4(0)=0V1=118−2(1)18−4(1)=224V2 =218−2(2)18−4(2)=280V3=318−2(3)18−4(3)=216V4=418−2(4)18−4(4)=80

The average rate of change of the function over the intervals 0,1 are 224−01−0=224 .

The average rate of change of the function over the intervals 1,2 are 280−2242−1=56 .

The average rate of change of the function over the intervals 2,3 are 216−2803−2=−64 .

The average rate of change of the function over the intervals 3,4 are 80−2164−3=−136 .

b.

To determine: the maximum and minimum value occur over any intervals in part(a).

The maximum value is 224 over the interval of 0,1 .

The minimum value is −136 over the interval of 4,3 .

Given information:

The volume V of the box is V=x18−2x18−4x

Concept Used:

Average rate of change:

The average rate of change of a function fx over an interval a,b is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using fb−fab−a .

Calculation:

The average rate of change of the function over the intervals 0,1 are 224−01−0=224 .

The average rate of change of the function over the intervals 1,2 are 280−2242−1=56 .

The average rate of change of the function over the intervals 2,3 are 216−2803−2=−64 .

The average rate of change of the function over the intervals 3,4 are 80−2164−3=−136 .

From the above, it is observed that the maximum and minimum values occur in the interval 0,1 and 3,4

Chapter 5.7, Problem 31PS

Chapter 5.7, Problem 1Q

Chapter 5 Solutions

Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)

Ch. 5.1 - Prob. 1GP Ch. 5.1 - Prob. 2GP Ch. 5.1 - Prob. 3GP Ch. 5.1 - Prob. 4GP Ch. 5.1 - Prob. 5GP Ch. 5.1 - Prob. 6GP Ch. 5.1 - Prob. 7GP Ch. 5.1 - Prob. 8GP Ch. 5.1 - Prob. 9GP Ch. 5.1 - Prob. 10GP

Ch. 5.1 - Prob. 11GP Ch. 5.1 - Prob. 12GP Ch. 5.1 - Prob. 13GP Ch. 5.1 - Prob. 14GP Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E Ch. 5.1 - Prob. 9E Ch. 5.1 - Prob. 10E Ch. 5.1 - Prob. 11E Ch. 5.1 - Prob. 12E Ch. 5.1 - Prob. 13E Ch. 5.1 - Prob. 14E Ch. 5.1 - Prob. 15E Ch. 5.1 - Prob. 16E Ch. 5.1 - Prob. 17E Ch. 5.1 - Prob. 18E Ch. 5.1 - Prob. 19E Ch. 5.1 - Prob. 20E Ch. 5.1 - Prob. 21E Ch. 5.1 - Prob. 22E Ch. 5.1 - Prob. 23E Ch. 5.1 - Prob. 24E Ch. 5.1 - Prob. 25E Ch. 5.1 - Prob. 26E Ch. 5.1 - Prob. 27E Ch. 5.1 - Prob. 28E Ch. 5.1 - Prob. 29E Ch. 5.1 - Prob. 30E Ch. 5.1 - Prob. 31E Ch. 5.1 - Prob. 32E Ch. 5.1 - Prob. 33E Ch. 5.1 - Prob. 34E Ch. 5.1 - Prob. 35E Ch. 5.1 - Prob. 36E Ch. 5.1 - Prob. 37PS Ch. 5.1 - Prob. 38PS Ch. 5.1 - Prob. 39PS Ch. 5.1 - Prob. 40PS Ch. 5.1 - Prob. 41PS Ch. 5.1 - Prob. 42PS Ch. 5.2 - Prob. 1GP Ch. 5.2 - Prob. 2GP Ch. 5.2 - Prob. 3GP Ch. 5.2 - Prob. 4GP Ch. 5.2 - Prob. 5GP Ch. 5.2 - Prob. 6GP Ch. 5.2 - Prob. 7GP Ch. 5.2 - Prob. 1E Ch. 5.2 - Prob. 2E Ch. 5.2 - Prob. 3E Ch. 5.2 - Prob. 4E Ch. 5.2 - Prob. 5E Ch. 5.2 - Prob. 6E Ch. 5.2 - Prob. 7E Ch. 5.2 - Prob. 8E Ch. 5.2 - Prob. 9E Ch. 5.2 - Prob. 10E Ch. 5.2 - Prob. 11E Ch. 5.2 - Prob. 12E Ch. 5.2 - Prob. 13E Ch. 5.2 - Prob. 14E Ch. 5.2 - Prob. 15E Ch. 5.2 - Prob. 16E Ch. 5.2 - Prob. 17E Ch. 5.2 - Prob. 18E Ch. 5.2 - Prob. 19E Ch. 5.2 - Prob. 20E Ch. 5.2 - Prob. 21E Ch. 5.2 - Prob. 22E Ch. 5.2 - Prob. 23E Ch. 5.2 - Prob. 24E Ch. 5.2 - Prob. 25E Ch. 5.2 - Prob. 26E Ch. 5.2 - Prob. 27E Ch. 5.2 - Prob. 28E Ch. 5.2 - Prob. 29E Ch. 5.2 - Prob. 30E Ch. 5.2 - Prob. 31E Ch. 5.2 - Prob. 32E Ch. 5.2 - Prob. 33E Ch. 5.2 - Prob. 34E Ch. 5.2 - Prob. 35E Ch. 5.2 - Prob. 36E Ch. 5.2 - Prob. 37PS Ch. 5.2 - Prob. 38PS Ch. 5.2 - Prob. 39PS Ch. 5.2 - Prob. 40PS Ch. 5.2 - Prob. 41PS Ch. 5.2 - Prob. 42PS Ch. 5.2 - Prob. 1P Ch. 5.2 - Prob. 2P Ch. 5.2 - Prob. 3P Ch. 5.2 - Prob. 4P Ch. 5.2 - Prob. 5P Ch. 5.2 - Prob. 6P Ch. 5.2 - Prob. 7P Ch. 5.2 - Prob. 8P Ch. 5.2 - Prob. 9P Ch. 5.2 - Prob. 1.1P Ch. 5.2 - Prob. 1.2P Ch. 5.2 - Prob. 1.3P Ch. 5.2 - Prob. 1.4P Ch. 5.2 - Prob. 1.5P Ch. 5.2 - Prob. 1.6P Ch. 5.2 - Prob. 1.7P Ch. 5.2 - Prob. 1.8P Ch. 5.2 - Prob. 1.9P Ch. 5.2 - Prob. 1.10P Ch. 5.3 - Prob. 1GP Ch. 5.3 - Prob. 2GP Ch. 5.3 - Prob. 3GP Ch. 5.3 - Prob. 4GP Ch. 5.3 - Prob. 5GP Ch. 5.3 - Prob. 1E Ch. 5.3 - Prob. 2E Ch. 5.3 - Prob. 3E Ch. 5.3 - Prob. 4E Ch. 5.3 - Prob. 5E Ch. 5.3 - Prob. 6E Ch. 5.3 - Prob. 7E Ch. 5.3 - Prob. 8E Ch. 5.3 - Prob. 9E Ch. 5.3 - Prob. 10E Ch. 5.3 - Prob. 11E Ch. 5.3 - Prob. 12E Ch. 5.3 - Prob. 13E Ch. 5.3 - Prob. 14E Ch. 5.3 - Prob. 15E Ch. 5.3 - Prob. 16E Ch. 5.3 - Prob. 17E Ch. 5.3 - Prob. 18E Ch. 5.3 - Prob. 19E Ch. 5.3 - Prob. 20E Ch. 5.3 - Prob. 21E Ch. 5.3 - Prob. 22E Ch. 5.3 - Prob. 23E Ch. 5.3 - Prob. 24E Ch. 5.3 - Prob. 25E Ch. 5.3 - Prob. 26E Ch. 5.3 - Prob. 27E Ch. 5.3 - Prob. 28E Ch. 5.3 - Prob. 29E Ch. 5.3 - Prob. 30E Ch. 5.3 - Prob. 31PS Ch. 5.3 - Prob. 32PS Ch. 5.3 - Prob. 33PS Ch. 5.3 - Prob. 34PS Ch. 5.3 - Prob. 35PS Ch. 5.3 - Prob. 36PS Ch. 5.3 - Prob. 1Q Ch. 5.3 - Prob. 2Q Ch. 5.3 - Prob. 3Q Ch. 5.3 - Prob. 4Q Ch. 5.3 - Prob. 5Q Ch. 5.3 - Prob. 6Q Ch. 5.3 - Prob. 7Q Ch. 5.3 - Prob. 8Q Ch. 5.3 - Prob. 9Q Ch. 5.3 - Prob. 10Q Ch. 5.3 - Prob. 11Q Ch. 5.3 - Prob. 1MRPS Ch. 5.3 - Prob. 2MRPS Ch. 5.3 - Prob. 3MRPS Ch. 5.3 - Prob. 4MRPS Ch. 5.3 - Prob. 5MRPS Ch. 5.3 - Prob. 6MRPS Ch. 5.3 - Prob. 7MRPS Ch. 5.3 - Prob. 8MRPS Ch. 5.4 - Prob. 1GP Ch. 5.4 - Prob. 2GP Ch. 5.4 - Prob. 3GP Ch. 5.4 - Prob. 4GP Ch. 5.4 - Prob. 5GP Ch. 5.4 - Prob. 6GP Ch. 5.4 - Prob. 7GP Ch. 5.4 - Prob. 8GP Ch. 5.4 - Prob. 9GP Ch. 5.4 - Prob. 10GP Ch. 5.4 - Prob. 11GP Ch. 5.4 - Prob. 12GP Ch. 5.4 - Prob. 1E Ch. 5.4 - Prob. 2E Ch. 5.4 - Prob. 3E Ch. 5.4 - Prob. 4E Ch. 5.4 - Prob. 5E Ch. 5.4 - Prob. 6E Ch. 5.4 - Prob. 7E Ch. 5.4 - Prob. 8E Ch. 5.4 - Prob. 9E Ch. 5.4 - Prob. 10E Ch. 5.4 - Prob. 11E Ch. 5.4 - Prob. 12E Ch. 5.4 - Prob. 13E Ch. 5.4 - Prob. 14E Ch. 5.4 - Prob. 15E Ch. 5.4 - 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Prob. 7GP Ch. 5.5 - Prob. 8GP Ch. 5.5 - Prob. 9GP Ch. 5.5 - Prob. 10GP Ch. 5.5 - Prob. 11GP Ch. 5.5 - Prob. 12GP Ch. 5.5 - Prob. 13GP Ch. 5.5 - Prob. 1E Ch. 5.5 - Prob. 2E Ch. 5.5 - Prob. 3E Ch. 5.5 - Prob. 4E Ch. 5.5 - Prob. 5E Ch. 5.5 - Prob. 6E Ch. 5.5 - Prob. 7E Ch. 5.5 - Prob. 8E Ch. 5.5 - Prob. 9E Ch. 5.5 - Prob. 10E Ch. 5.5 - Prob. 11E Ch. 5.5 - Prob. 12E Ch. 5.5 - Prob. 13E Ch. 5.5 - Prob. 14E Ch. 5.5 - Prob. 15E Ch. 5.5 - Prob. 16E Ch. 5.5 - Prob. 17E Ch. 5.5 - Prob. 18E Ch. 5.5 - Prob. 19E Ch. 5.5 - Prob. 20E Ch. 5.5 - Prob. 21E Ch. 5.5 - Prob. 22E Ch. 5.5 - Prob. 23E Ch. 5.5 - Prob. 24E Ch. 5.5 - Prob. 25E Ch. 5.5 - Prob. 26E Ch. 5.5 - Prob. 27E Ch. 5.5 - Prob. 28E Ch. 5.5 - Prob. 29E Ch. 5.5 - Prob. 30E Ch. 5.5 - Prob. 31E Ch. 5.5 - Prob. 32E Ch. 5.5 - Prob. 33E Ch. 5.5 - Prob. 34E Ch. 5.5 - Prob. 35E Ch. 5.5 - Prob. 36E Ch. 5.5 - Prob. 37E Ch. 5.5 - Prob. 38E Ch. 5.5 - Prob. 39E Ch. 5.5 - Prob. 40E Ch. 5.5 - Prob. 41PS Ch. 5.5 - Prob. 42PS Ch. 5.5 - Prob. 43PS Ch. 5.5 - Prob. 44PS Ch. 5.5 - Prob. 45PS Ch. 5.5 - Prob. 1P Ch. 5.5 - Prob. 2P Ch. 5.5 - Prob. 3P Ch. 5.5 - Prob. 4P Ch. 5.5 - Prob. 5P Ch. 5.5 - Prob. 6P Ch. 5.5 - Prob. 7P Ch. 5.6 - Prob. 1GP Ch. 5.6 - Prob. 2GP Ch. 5.6 - Prob. 3GP Ch. 5.6 - Prob. 4GP Ch. 5.6 - Prob. 5GP Ch. 5.6 - Prob. 6GP Ch. 5.6 - Prob. 7GP Ch. 5.6 - Prob. 8GP Ch. 5.6 - Prob. 9GP Ch. 5.6 - Prob. 10GP Ch. 5.6 - Prob. 11GP Ch. 5.6 - Prob. 1E Ch. 5.6 - Prob. 2E Ch. 5.6 - Prob. 3E Ch. 5.6 - Prob. 4E Ch. 5.6 - Prob. 5E Ch. 5.6 - Prob. 6E Ch. 5.6 - Prob. 7E Ch. 5.6 - Prob. 8E Ch. 5.6 - Prob. 9E Ch. 5.6 - Prob. 10E Ch. 5.6 - Prob. 11E Ch. 5.6 - Prob. 12E Ch. 5.6 - Prob. 13E Ch. 5.6 - Prob. 14E Ch. 5.6 - Prob. 15E Ch. 5.6 - Prob. 16E Ch. 5.6 - Prob. 17E Ch. 5.6 - Prob. 18E Ch. 5.6 - Prob. 19E Ch. 5.6 - Prob. 20E Ch. 5.6 - Prob. 21E Ch. 5.6 - Prob. 22E Ch. 5.6 - Prob. 23E Ch. 5.6 - Prob. 24E Ch. 5.6 - Prob. 25E Ch. 5.6 - Prob. 26E Ch. 5.6 - Prob. 27E Ch. 5.6 - Prob. 28E Ch. 5.6 - Prob. 29E Ch. 5.6 - Prob. 30E Ch. 5.6 - Prob. 31E Ch. 5.6 - Prob. 32E Ch. 5.6 - Prob. 33PS Ch. 5.6 - Prob. 34PS Ch. 5.6 - Prob. 35PS Ch. 5.6 - Prob. 36PS Ch. 5.6 - Prob. 37PS Ch. 5.6 - Prob. 38PS Ch. 5.6 - Prob. 1Q Ch. 5.6 - Prob. 2Q Ch. 5.6 - Prob. 3Q Ch. 5.6 - Prob. 4Q Ch. 5.6 - Prob. 5Q Ch. 5.6 - Prob. 6Q Ch. 5.6 - Prob. 7Q Ch. 5.6 - Prob. 8Q Ch. 5.6 - Prob. 9Q Ch. 5.6 - Prob. 10Q Ch. 5.6 - Prob. 11Q Ch. 5.6 - Prob. 12Q Ch. 5.6 - Prob. 13Q Ch. 5.6 - Prob. 14Q Ch. 5.6 - Prob. 1P Ch. 5.6 - Prob. 2P Ch. 5.6 - Prob. 3P Ch. 5.6 - Prob. 4P Ch. 5.6 - Prob. 5P Ch. 5.6 - Prob. 6P Ch. 5.6 - Prob. 7P Ch. 5.6 - Prob. 1.1P Ch. 5.6 - Prob. 1.2P Ch. 5.6 - Prob. 1.3P Ch. 5.6 - Prob. 1.4P Ch. 5.6 - Prob. 1.5P Ch. 5.6 - Prob. 1.6P Ch. 5.6 - Prob. 1.7P Ch. 5.6 - Prob. 1.8P Ch. 5.6 - Prob. 1.9P Ch. 5.6 - Prob. 1.10P Ch. 5.6 - Prob. 1.11P Ch. 5.6 - Prob. 1.12P Ch. 5.6 - Prob. 1.13P Ch. 5.6 - Prob. 1.14P Ch. 5.6 - Prob. 1.15P Ch. 5.6 - Prob. 1.16P Ch. 5.6 - Prob. 1.17P Ch. 5.6 - Prob. 1.18P Ch. 5.6 - Prob. 1.19P Ch. 5.6 - Prob. 1.20P Ch. 5.6 - Prob. 1.21P Ch. 5.6 - Prob. 1.22P Ch. 5.7 - Prob. 1GP Ch. 5.7 - Prob. 2GP Ch. 5.7 - Prob. 3GP Ch. 5.7 - Prob. 4GP Ch. 5.7 - Prob. 5GP Ch. 5.7 - Prob. 1E Ch. 5.7 - Prob. 2E Ch. 5.7 - Prob. 3E Ch. 5.7 - Prob. 4E Ch. 5.7 - Prob. 5E Ch. 5.7 - Prob. 6E Ch. 5.7 - Prob. 7E Ch. 5.7 - Prob. 8E Ch. 5.7 - Prob. 9E Ch. 5.7 - Prob. 10E Ch. 5.7 - Prob. 11E Ch. 5.7 - Prob. 12E Ch. 5.7 - Prob. 13E Ch. 5.7 - Prob. 14E Ch. 5.7 - Prob. 15E Ch. 5.7 - Prob. 16E Ch. 5.7 - Prob. 17E Ch. 5.7 - Prob. 18E Ch. 5.7 - Prob. 19E Ch. 5.7 - Prob. 20E Ch. 5.7 - Prob. 21E Ch. 5.7 - Prob. 22E Ch. 5.7 - Prob. 23E Ch. 5.7 - Prob. 24E Ch. 5.7 - Prob. 25E Ch. 5.7 - Prob. 26PS Ch. 5.7 - Prob. 27PS Ch. 5.7 - Prob. 28PS Ch. 5.7 - Prob. 29PS Ch. 5.7 - Prob. 30PS Ch. 5.7 - Prob. 31PS Ch. 5.7 - Prob. 32PS Ch. 5.7 - Prob. 1Q Ch. 5.7 - Prob. 2Q Ch. 5.7 - Prob. 3Q Ch. 5.7 - Prob. 4Q Ch. 5.7 - Prob. 5Q Ch. 5.7 - Prob. 1MRPS Ch. 5.7 - Prob. 2MRPS Ch. 5.7 - Prob. 3MRPS Ch. 5.7 - Prob. 4MRPS Ch. 5.7 - Prob. 5MRPS Ch. 5.7 - Prob. 6MRPS Ch. 5.7 - Prob. 7MRPS Ch. 5 - Prob. 1VE Ch. 5 - Prob. 2VE Ch. 5 - Prob. 3VE Ch. 5 - Prob. 4VE Ch. 5 - Prob. 5VE Ch. 5 - Prob. 6REAE Ch. 5 - Prob. 7REAE Ch. 5 - Prob. 8REAE Ch. 5 - Prob. 9REAE Ch. 5 - Prob. 10REAE Ch. 5 - Prob. 11REAE Ch. 5 - Prob. 12REAE Ch. 5 - Prob. 13REAE Ch. 5 - Prob. 14REAE Ch. 5 - Prob. 15REAE Ch. 5 - Prob. 16REAE Ch. 5 - Prob. 17REAE Ch. 5 - Prob. 18REAE Ch. 5 - Prob. 19REAE Ch. 5 - Prob. 20REAE Ch. 5 - Prob. 21REAE Ch. 5 - Prob. 22REAE Ch. 5 - Prob. 23REAE Ch. 5 - Prob. 24REAE Ch. 5 - Prob. 25REAE Ch. 5 - Prob. 26REAE Ch. 5 - Prob. 27REAE Ch. 5 - Prob. 28REAE Ch. 5 - Prob. 29REAE Ch. 5 - Prob. 30REAE Ch. 5 - Prob. 31REAE Ch. 5 - Prob. 32REAE Ch. 5 - Prob. 33REAE Ch. 5 - Prob. 1T Ch. 5 - Prob. 2T Ch. 5 - Prob. 3T Ch. 5 - Prob. 4T Ch. 5 - Prob. 5T Ch. 5 - Prob. 6T Ch. 5 - Prob. 7T Ch. 5 - Prob. 8T Ch. 5 - Prob. 9T Ch. 5 - Prob. 10T Ch. 5 - Prob. 11T Ch. 5 - Prob. 12T Ch. 5 - Prob. 13T Ch. 5 - Prob. 14T Ch. 5 - Prob. 15T Ch. 5 - Prob. 16T Ch. 5 - Prob. 17T Ch. 5 - Prob. 18T Ch. 5 - Prob. 19T Ch. 5 - Prob. 20T Ch. 5 - 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