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High School Math Algebra High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

a. To graph: The equation for the volume and use 3.14 as π . The required graph is shown. Given information: Radius and height of a cylinder is 3 x − 2 and 3 − 2 x respectively. Calculation: Since the volume of cylinder = π r 2 h , where r = radius and h = height. Substitute values of radius and height, then the volume of the cylinder will be: V x = π 3 x − 2 2 3 − 2 x = 3.14 3 x − 2 2 3 − 2 x Enter the function the graphing calculator. Set the window as shown. Check the graph by clicking on the graph button. b. To find: The relative maximum. The relative maximum is about 4.85 at x = 1.22 . Given statement: Radius and height of a cylinder is 3 x − 2 and 3 − 2 x respectively. Explanation: Press [2nd] and then [Calc] button and choose Maximum by clicking on 4. Now according to the graph, the maximum value lies between x = 1 and x = 2 . Set left bound 1, right bound 2 and guess as 1.3 value is nearer to 1 . Press [Enter] and check the maximum value. It is observed that, the relative maximum is about 4.85 at x = 1.22 . c. The objective is to determine the kind of limitation on the radius that would make the maximum possible volume. The limitation on the radius is x > 2 3 . Given information: Radius and height of a cylinder is 3 x − 2 and 3 − 2 x respectively. Explanation: Radius cannot be negative or zero. Thus, 3 x − 2 > 0 3 x > 2 x > 2 3 Hence, the limitation on the radius is x > 2 3 .

a. To graph: The equation for the volume and use 3.14 as π . The required graph is shown. Given information: Radius and height of a cylinder is 3 x − 2 and 3 − 2 x respectively. Calculation: Since the volume of cylinder = π r 2 h , where r = radius and h = height. Substitute values of radius and height, then the volume of the cylinder will be: V x = π 3 x − 2 2 3 − 2 x = 3.14 3 x − 2 2 3 − 2 x Enter the function the graphing calculator. Set the window as shown. Check the graph by clicking on the graph button. b. To find: The relative maximum. The relative maximum is about 4.85 at x = 1.22 . Given statement: Radius and height of a cylinder is 3 x − 2 and 3 − 2 x respectively. Explanation: Press [2nd] and then [Calc] button and choose Maximum by clicking on 4. Now according to the graph, the maximum value lies between x = 1 and x = 2 . Set left bound 1, right bound 2 and guess as 1.3 value is nearer to 1 . Press [Enter] and check the maximum value. It is observed that, the relative maximum is about 4.85 at x = 1.22 . c. The objective is to determine the kind of limitation on the radius that would make the maximum possible volume. The limitation on the radius is x > 2 3 . Given information: Radius and height of a cylinder is 3 x − 2 and 3 − 2 x respectively. Explanation: Radius cannot be negative or zero. Thus, 3 x − 2 > 0 3 x > 2 x > 2 3 Hence, the limitation on the radius is x > 2 3 .

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

15th Edition

ISBN: 9780133281163

Author: Prentice Hall

Publisher: Prentice Hall

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Expert Solution & Answer

Chapter 5, Problem 18MCQ

Solution

a.

To graph: The equation for the volume and use 3.14 as π .

The required graph is shown.

Given information:

Radius and height of a cylinder is 3x−2 and 3−2x respectively.

Calculation:

Since the volume of cylinder =πr2h , where r = radius and h= height.

Substitute values of radius and height, then the volume of the cylinder will be:

Vx=π3x−223−2x=3.143x−223−2x

Enter the function the graphing calculator.

Set the window as shown.

Check the graph by clicking on the graph button.

b.

To find: The relative maximum.

The relative maximum is about 4.85 at x=1.22 .

Given statement:

Radius and height of a cylinder is 3x−2 and 3−2x respectively.

Explanation:

Press [2nd] and then [Calc] button and choose Maximum by clicking on 4.

Now according to the graph, the maximum value lies between x=1 and x=2 .

Set left bound 1, right bound 2 and guess as 1.3 value is nearer to 1.

Press [Enter] and check the maximum value.

It is observed that, the relative maximum is about 4.85 at x=1.22 .

c.

The objective is to determine the kind of limitation on the radius that would make the maximum possible volume.

The limitation on the radius is x>23 .

Given information:

Radius and height of a cylinder is 3x−2 and 3−2x respectively.

Explanation:

Radius cannot be negative or zero.

Thus, 3x−2>0

3x>2x>23

Hence, the limitation on the radius is x>23 .

Chapter 5, Problem 17MCQ

Chapter 5, Problem 19MCQ

Chapter 5 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

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

Ch. 5.1 - Prob. 11PPSE Ch. 5.1 - Prob. 12PPSE Ch. 5.1 - Prob. 13PPSE Ch. 5.1 - Prob. 14PPSE Ch. 5.1 - Prob. 15PPSE Ch. 5.1 - Prob. 16PPSE Ch. 5.1 - Prob. 17PPSE Ch. 5.1 - Prob. 18PPSE Ch. 5.1 - Prob. 19PPSE Ch. 5.1 - Prob. 20PPSE Ch. 5.1 - Prob. 21PPSE Ch. 5.1 - Prob. 22PPSE Ch. 5.1 - Prob. 23PPSE Ch. 5.1 - Prob. 24PPSE Ch. 5.1 - Prob. 25PPSE Ch. 5.1 - Prob. 26PPSE Ch. 5.1 - Prob. 27PPSE Ch. 5.1 - Prob. 28PPSE Ch. 5.1 - Prob. 29PPSE Ch. 5.1 - Prob. 30PPSE Ch. 5.1 - Prob. 31PPSE Ch. 5.1 - Prob. 32PPSE Ch. 5.1 - Prob. 33PPSE Ch. 5.1 - Prob. 34PPSE Ch. 5.1 - Prob. 35PPSE Ch. 5.1 - Prob. 36PPSE Ch. 5.1 - Prob. 37PPSE Ch. 5.1 - Prob. 38PPSE Ch. 5.1 - Prob. 39PPSE Ch. 5.1 - Prob. 40PPSE Ch. 5.1 - Prob. 41PPSE Ch. 5.1 - Prob. 42PPSE Ch. 5.1 - Prob. 43PPSE Ch. 5.1 - Prob. 44PPSE Ch. 5.1 - Prob. 45PPSE Ch. 5.1 - Prob. 46PPSE Ch. 5.1 - Prob. 47PPSE Ch. 5.1 - Prob. 48PPSE Ch. 5.1 - Prob. 49PPSE Ch. 5.1 - Prob. 50PPSE Ch. 5.1 - Prob. 51PPSE Ch. 5.1 - Prob. 52PPSE Ch. 5.1 - Prob. 53PPSE Ch. 5.1 - Prob. 54PPSE Ch. 5.1 - 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Prob. 5E Ch. 5.6 - Prob. 1LC Ch. 5.6 - Prob. 2LC Ch. 5.6 - Prob. 3LC Ch. 5.6 - Prob. 4LC Ch. 5.6 - Prob. 5LC Ch. 5.6 - Prob. 6LC Ch. 5.6 - Prob. 7LC Ch. 5.6 - Prob. 8PPSE Ch. 5.6 - Prob. 9PPSE Ch. 5.6 - Prob. 10PPSE Ch. 5.6 - Prob. 11PPSE Ch. 5.6 - Prob. 12PPSE Ch. 5.6 - Prob. 13PPSE Ch. 5.6 - Prob. 14PPSE Ch. 5.6 - Prob. 15PPSE Ch. 5.6 - Prob. 16PPSE Ch. 5.6 - Prob. 17PPSE Ch. 5.6 - Prob. 18PPSE Ch. 5.6 - Prob. 19PPSE Ch. 5.6 - Prob. 20PPSE Ch. 5.6 - Prob. 21PPSE Ch. 5.6 - Prob. 22PPSE Ch. 5.6 - Prob. 23PPSE Ch. 5.6 - Prob. 24PPSE Ch. 5.6 - Prob. 25PPSE Ch. 5.6 - Prob. 26PPSE Ch. 5.6 - Prob. 27PPSE Ch. 5.6 - Prob. 28PPSE Ch. 5.6 - Prob. 29PPSE Ch. 5.6 - Prob. 30PPSE Ch. 5.6 - Prob. 31PPSE Ch. 5.6 - Prob. 32PPSE Ch. 5.6 - Prob. 33PPSE Ch. 5.6 - Prob. 34PPSE Ch. 5.6 - Prob. 35PPSE Ch. 5.6 - Prob. 36PPSE Ch. 5.6 - Prob. 37PPSE Ch. 5.6 - Prob. 38PPSE Ch. 5.6 - Prob. 39PPSE Ch. 5.6 - Prob. 40PPSE Ch. 5.6 - Prob. 41PPSE Ch. 5.6 - Prob. 42PPSE Ch. 5.6 - Prob. 43PPSE Ch. 5.6 - Prob. 44PPSE Ch. 5.6 - 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Prob. 41PPSE Ch. 5.8 - Prob. 42PPSE Ch. 5.8 - Prob. 43PPSE Ch. 5.8 - Prob. 44PPSE Ch. 5.8 - Prob. 45PPSE Ch. 5.8 - Prob. 46PPSE Ch. 5.8 - Prob. 47PPSE Ch. 5.8 - Prob. 48PPSE Ch. 5.8 - Prob. 49PPSE Ch. 5.8 - Prob. 50PPSE Ch. 5.8 - Prob. 51PPSE Ch. 5.8 - Prob. 52PPSE Ch. 5.8 - Prob. 53PPSE Ch. 5.8 - Prob. 54PPSE Ch. 5.8 - Prob. 55PPSE Ch. 5.8 - Prob. 56PPSE Ch. 5.8 - Prob. 57PPSE Ch. 5.8 - Prob. 58PPSE Ch. 5.9 - Prob. 1LC Ch. 5.9 - Prob. 2LC Ch. 5.9 - Prob. 3LC Ch. 5.9 - Prob. 4LC Ch. 5.9 - Prob. 5LC Ch. 5.9 - Prob. 6LC Ch. 5.9 - Prob. 7PPSE Ch. 5.9 - Prob. 8PPSE Ch. 5.9 - Prob. 9PPSE Ch. 5.9 - Prob. 10PPSE Ch. 5.9 - Prob. 11PPSE Ch. 5.9 - Prob. 12PPSE Ch. 5.9 - Prob. 13PPSE Ch. 5.9 - Prob. 14PPSE Ch. 5.9 - Prob. 15PPSE Ch. 5.9 - Prob. 16PPSE Ch. 5.9 - Prob. 17PPSE Ch. 5.9 - Prob. 18PPSE Ch. 5.9 - Prob. 19PPSE Ch. 5.9 - Prob. 20PPSE Ch. 5.9 - Prob. 21PPSE Ch. 5.9 - Prob. 22PPSE Ch. 5.9 - Prob. 23PPSE Ch. 5.9 - Prob. 24PPSE Ch. 5.9 - Prob. 25PPSE Ch. 5.9 - Prob. 26PPSE Ch. 5.9 - Prob. 27PPSE Ch. 5.9 - Prob. 28PPSE Ch. 5.9 - Prob. 29PPSE Ch. 5.9 - Prob. 30PPSE Ch. 5.9 - Prob. 31PPSE Ch. 5.9 - Prob. 32PPSE Ch. 5.9 - Prob. 33PPSE Ch. 5.9 - Prob. 34PPSE Ch. 5.9 - Prob. 35PPSE Ch. 5.9 - Prob. 36PPSE Ch. 5.9 - Prob. 37PPSE Ch. 5.9 - Prob. 38PPSE Ch. 5.9 - Prob. 39PPSE Ch. 5.9 - Prob. 40PPSE Ch. 5.9 - Prob. 41PPSE Ch. 5.9 - Prob. 42PPSE Ch. 5.9 - Prob. 43PPSE Ch. 5.9 - Prob. 44PPSE Ch. 5.9 - Prob. 45PPSE Ch. 5.9 - Prob. 46PPSE Ch. 5.9 - Prob. 47PPSE Ch. 5.9 - Prob. 48PPSE Ch. 5.9 - Prob. 49PPSE Ch. 5.9 - Prob. 50PPSE Ch. 5.9 - Prob. 51PPSE Ch. 5.9 - Prob. 52PPSE Ch. 5.9 - Prob. 53PPSE Ch. 5.9 - Prob. 54PPSE Ch. 5.9 - Prob. 55PPSE Ch. 5.9 - Prob. 56PPSE Ch. 5 - Prob. 1GR Ch. 5 - Prob. 2GR Ch. 5 - Prob. 3GR Ch. 5 - Prob. 4GR Ch. 5 - Prob. 5GR Ch. 5 - Prob. 6GR Ch. 5 - Prob. 7GR Ch. 5 - Prob. 8GR Ch. 5 - Prob. 9GR Ch. 5 - Prob. 10GR Ch. 5 - Prob. 11GR Ch. 5 - Prob. 12GR Ch. 5 - Prob. 13GR Ch. 5 - Prob. 14GR Ch. 5 - Prob. 15GR Ch. 5 - Prob. 16GR Ch. 5 - Prob. 17GR Ch. 5 - Prob. 18GR Ch. 5 - Prob. 1MCQ Ch. 5 - Prob. 2MCQ Ch. 5 - Prob. 3MCQ Ch. 5 - Prob. 4MCQ Ch. 5 - Prob. 5MCQ Ch. 5 - Prob. 6MCQ Ch. 5 - Prob. 7MCQ Ch. 5 - Prob. 8MCQ Ch. 5 - Prob. 9MCQ Ch. 5 - Prob. 10MCQ Ch. 5 - Prob. 11MCQ Ch. 5 - Prob. 12MCQ Ch. 5 - Prob. 13MCQ Ch. 5 - Prob. 14MCQ Ch. 5 - Prob. 15MCQ Ch. 5 - Prob. 16MCQ Ch. 5 - Prob. 17MCQ Ch. 5 - Prob. 18MCQ Ch. 5 - Prob. 19MCQ Ch. 5 - Prob. 1CV Ch. 5 - Prob. 2CV Ch. 5 - Prob. 3CV Ch. 5 - Prob. 4CV Ch. 5 - Prob. 5E Ch. 5 - Prob. 6E Ch. 5 - Prob. 7E Ch. 5 - Prob. 8E Ch. 5 - Prob. 9E Ch. 5 - Prob. 10E Ch. 5 - Prob. 11E Ch. 5 - Prob. 12E Ch. 5 - Prob. 13E Ch. 5 - Prob. 14E Ch. 5 - Prob. 15E Ch. 5 - Prob. 16E Ch. 5 - Prob. 17E Ch. 5 - Prob. 18E Ch. 5 - Prob. 19E Ch. 5 - Prob. 20E Ch. 5 - Prob. 21E Ch. 5 - Prob. 22E Ch. 5 - Prob. 23E Ch. 5 - Prob. 24E Ch. 5 - Prob. 25E Ch. 5 - Prob. 26E Ch. 5 - Prob. 27E Ch. 5 - Prob. 28E Ch. 5 - Prob. 29E Ch. 5 - Prob. 30E Ch. 5 - Prob. 31E Ch. 5 - Prob. 32E Ch. 5 - Prob. 33E Ch. 5 - Prob. 34E Ch. 5 - Prob. 35E Ch. 5 - Prob. 36E Ch. 5 - Prob. 37E Ch. 5 - Prob. 38E Ch. 5 - Prob. 39E Ch. 5 - Prob. 40E Ch. 5 - Prob. 41E Ch. 5 - Prob. 42E Ch. 5 - Prob. 43E Ch. 5 - Prob. 44E Ch. 5 - Prob. 45E Ch. 5 - Prob. 46E Ch. 5 - Prob. 47E Ch. 5 - Prob. 48E Ch. 5 - Prob. 49E Ch. 5 - Prob. 50E Ch. 5 - Prob. 51E Ch. 5 - Prob. 52E Ch. 5 - Prob. 53E Ch. 5 - Prob. 54E Ch. 5 - Prob. 55E Ch. 5 - Prob. 56E Ch. 5 - Prob. 57E Ch. 5 - Prob. 58E Ch. 5 - Prob. 59E Ch. 5 - Prob. 60E Ch. 5 - Prob. 61E Ch. 5 - Prob. 62E Ch. 5 - Prob. 63E Ch. 5 - Prob. 64E Ch. 5 - Prob. 65E Ch. 5 - Prob. 66E Ch. 5 - Prob. 67E Ch. 5 - Prob. 68E Ch. 5 - Prob. 69E Ch. 5 - Prob. 70E Ch. 5 - Prob. 71E Ch. 5 - Prob. 72E Ch. 5 - Prob. 73E Ch. 5 - Prob. 74E Ch. 5 - Prob. 75E Ch. 5 - Prob. 76E Ch. 5 - Prob. 77E Ch. 5 - Prob. 78E Ch. 5 - Prob. 79E Ch. 5 - Prob. 80E Ch. 5 - Prob. 81E Ch. 5 - Prob. 82E Ch. 5 - Prob. 83E Ch. 5 - Prob. 84E Ch. 5 - Prob. 85E Ch. 5 - Prob. 86E Ch. 5 - Prob. 87E Ch. 5 - Prob. 88E Ch. 5 - Prob. 1CT Ch. 5 - Prob. 2CT Ch. 5 - Prob. 3CT Ch. 5 - Prob. 4CT Ch. 5 - Prob. 5CT Ch. 5 - Prob. 6CT Ch. 5 - Prob. 7CT Ch. 5 - Prob. 8CT Ch. 5 - Prob. 9CT Ch. 5 - Prob. 10CT Ch. 5 - Prob. 11CT Ch. 5 - Prob. 12CT Ch. 5 - Prob. 13CT Ch. 5 - Prob. 14CT Ch. 5 - Prob. 15CT Ch. 5 - Prob. 16CT Ch. 5 - Prob. 17CT Ch. 5 - Prob. 18CT Ch. 5 - Prob. 19CT Ch. 5 - Prob. 20CT Ch. 5 - Prob. 21CT Ch. 5 - Prob. 22CT Ch. 5 - Prob. 23CT Ch. 5 - Prob. 1CCSR Ch. 5 - Prob. 2CCSR Ch. 5 - Prob. 3CCSR Ch. 5 - Prob. 4CCSR Ch. 5 - Prob. 5CCSR Ch. 5 - Prob. 6CCSR Ch. 5 - Prob. 7CCSR Ch. 5 - Prob. 8CCSR Ch. 5 - Prob. 9CCSR Ch. 5 - Prob. 10CCSR Ch. 5 - Prob. 11CCSR Ch. 5 - Prob. 12CCSR Ch. 5 - Prob. 13CCSR Ch. 5 - Prob. 14CCSR Ch. 5 - Prob. 15CCSR Ch. 5 - Prob. 16CCSR Ch. 5 - Prob. 17CCSR Ch. 5 - Prob. 18CCSR Ch. 5 - Prob. 19CCSR Ch. 5 - Prob. 20CCSR Ch. 5 - Prob. 21CCSR Ch. 5 - Prob. 22CCSR Ch. 5 - Prob. 23CCSR

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