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High School Math Algebra EBK ALGEBRA 2

a. To graph: the given equation n = 1054 t + 6204 − 6.62 t + 100 . The graph is shown below: Given information: The given function is n = 1054 t + 6204 − 6.62 t + 100 Concept Used: Graphing translations of simple rational functions: To graph a rational function of the form y = a x − h + k , follow these steps: Draw the asymptotes x = h and y = k . Plot points to the left and to the right of the vertical asymptote. Draw the two branches of the hyperbola so that they pass through the plotted points and approach the asymptotes. Calculation: Make a table of value n and t . t n 0 62.04 2 95.80 4 141.73 6 207.83 8 311.14 Plot all the points from both the tables in the format t , n . The graph is shown below: b. To describe: the general trends of the graph found in part(a). The sales are increasing at an exponential rate after the year 1993. Given information: The graph is shown below: Concept Used: Exponential growth rate: Exponential growth is a pattern of data that shows an increase with the passing of time by creating a curve of an exponential function. Calculation: Since t is the number of year since 1993, in the year in 1994, 1995, 1996,…. t will be 1 , 2 , 3 , ... t n 0 62.04 2 95.80 4 141.73 6 207.83 8 311.14 From the above data, it is observed that sales are increasing at an exponential rate after the year 1993. c. To estimate: the year when the number of shares of stock sold was first greater than 100 billion. The required year is 1996 . Given information: The given function is n = 1054 t + 6204 − 6.62 t + 100 Concept Used: Substitution means replacing the variables (letters) in an algebraic expression with their numerical values. Calculation: Substitute 100 for n in n > 1054 t + 6204 − 6.62 t + 100 . 100 < 1054 t + 6204 − 6.62 t + 100 0 < 1054 t + 6204 − 6.62 t + 100 − 100 0 < 1054 t + 6204 + 662 t − 10000 − 6.62 t + 100 0 < 1716 t − 3796 − 6.62 t + 100 2.2 < t < 15.1 The lowest whole number value of t in this range equals: t = 3 3 + 1993 = 1996 Hence, the required year is 1996.

a. To graph: the given equation n = 1054 t + 6204 − 6.62 t + 100 . The graph is shown below: Given information: The given function is n = 1054 t + 6204 − 6.62 t + 100 Concept Used: Graphing translations of simple rational functions: To graph a rational function of the form y = a x − h + k , follow these steps: Draw the asymptotes x = h and y = k . Plot points to the left and to the right of the vertical asymptote. Draw the two branches of the hyperbola so that they pass through the plotted points and approach the asymptotes. Calculation: Make a table of value n and t . t n 0 62.04 2 95.80 4 141.73 6 207.83 8 311.14 Plot all the points from both the tables in the format t , n . The graph is shown below: b. To describe: the general trends of the graph found in part(a). The sales are increasing at an exponential rate after the year 1993. Given information: The graph is shown below: Concept Used: Exponential growth rate: Exponential growth is a pattern of data that shows an increase with the passing of time by creating a curve of an exponential function. Calculation: Since t is the number of year since 1993, in the year in 1994, 1995, 1996,…. t will be 1 , 2 , 3 , ... t n 0 62.04 2 95.80 4 141.73 6 207.83 8 311.14 From the above data, it is observed that sales are increasing at an exponential rate after the year 1993. c. To estimate: the year when the number of shares of stock sold was first greater than 100 billion. The required year is 1996 . Given information: The given function is n = 1054 t + 6204 − 6.62 t + 100 Concept Used: Substitution means replacing the variables (letters) in an algebraic expression with their numerical values. Calculation: Substitute 100 for n in n > 1054 t + 6204 − 6.62 t + 100 . 100 < 1054 t + 6204 − 6.62 t + 100 0 < 1054 t + 6204 − 6.62 t + 100 − 100 0 < 1054 t + 6204 + 662 t − 10000 − 6.62 t + 100 0 < 1716 t − 3796 − 6.62 t + 100 2.2 < t < 15.1 The lowest whole number value of t in this range equals: t = 3 3 + 1993 = 1996 Hence, the required year is 1996.

EBK ALGEBRA 2

11th Edition

ISBN: 9780544714304

Author: Larson

Publisher: HMH PUB

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Expert Solution & Answer

Chapter 5.3, Problem 34PS

Solution

a.

To graph: the given equation n=1054t+6204−6.62t+100 .

The graph is shown below:

Given information:

The given function is n=1054t+6204−6.62t+100

Concept Used:

Graphing translations of simple rational functions:

To graph a rational function of the form y=ax−h+k , follow these steps:

Draw the asymptotes x=h and y=k .

Plot points to the left and to the right of the vertical asymptote.

Draw the two branches of the hyperbola so that they pass through the plotted points and approach the asymptotes.

Calculation:

Make a table of value n and t .

t n
0 62.04
2 95.80
4 141.73
6 207.83
8 311.14

Plot all the points from both the tables in the format t,n .

The graph is shown below:

b.

To describe: the general trends of the graph found in part(a).

The sales are increasing at an exponential rate after the year 1993.

Given information:

The graph is shown below:

Concept Used:

Exponential growth rate:

Exponential growth is a pattern of data that shows an increase with the passing of time by creating a curve of an exponential function.

Calculation:

Since t is the number of year since 1993, in the year in 1994, 1995, 1996,…. t will be 1,2,3,...

t n
0 62.04
2 95.80
4 141.73
6 207.83
8 311.14

From the above data, it is observed that sales are increasing at an exponential rate after the year 1993.

c.

To estimate: the year when the number of shares of stock sold was first greater than 100 billion.

The required year is 1996.

Given information:

The given function is n=1054t+6204−6.62t+100

Concept Used:

Substitution means replacing the variables (letters) in an algebraic expression with their numerical values.

Calculation:

Substitute 100 for n in n>1054t+6204−6.62t+100 .

100<1054t+6204−6.62t+1000<1054t+6204−6.62t+100−1000<1054t+6204+662t−10000−6.62t+1000<1716t−3796−6.62t+1002.2<t<15.1

The lowest whole number value of t in this range equals: t=3

3+1993=1996

Hence, the required year is 1996.

Chapter 5.3, Problem 33PS

Chapter 5.3, Problem 35PS

Chapter 5 Solutions

EBK 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 - Prob. 16E Ch. 5.4 - Prob. 17E Ch. 5.4 - Prob. 18E Ch. 5.4 - Prob. 19E Ch. 5.4 - Prob. 20E Ch. 5.4 - Prob. 21E Ch. 5.4 - Prob. 22E Ch. 5.4 - Prob. 23E Ch. 5.4 - Prob. 24E Ch. 5.4 - Prob. 25E Ch. 5.4 - Prob. 26E Ch. 5.4 - Prob. 27E Ch. 5.4 - Prob. 28E Ch. 5.4 - Prob. 29E Ch. 5.4 - Prob. 30E Ch. 5.4 - Prob. 31E Ch. 5.4 - Prob. 32E Ch. 5.4 - Prob. 33E Ch. 5.4 - Prob. 34E Ch. 5.4 - Prob. 35E Ch. 5.4 - Prob. 36E Ch. 5.4 - Prob. 37E Ch. 5.4 - Prob. 38E Ch. 5.4 - Prob. 39E Ch. 5.4 - Prob. 40E Ch. 5.4 - Prob. 41E Ch. 5.4 - Prob. 42E Ch. 5.4 - Prob. 43E Ch. 5.4 - Prob. 44E Ch. 5.4 - Prob. 45E Ch. 5.4 - Prob. 46E Ch. 5.4 - Prob. 47E Ch. 5.4 - Prob. 48PS Ch. 5.4 - Prob. 49PS Ch. 5.4 - Prob. 50PS Ch. 5.4 - Prob. 51PS Ch. 5.4 - Prob. 52PS Ch. 5.4 - Prob. 53PS Ch. 5.4 - Prob. 1P Ch. 5.4 - Prob. 2P Ch. 5.4 - Prob. 3P Ch. 5.4 - Prob. 4P Ch. 5.4 - Prob. 5P Ch. 5.4 - Prob. 6P Ch. 5.5 - Prob. 1GP Ch. 5.5 - Prob. 2GP Ch. 5.5 - Prob. 3GP Ch. 5.5 - Prob. 4GP Ch. 5.5 - Prob. 5GP Ch. 5.5 - Prob. 6GP Ch. 5.5 - 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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