Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 3.6, Problem 35E

(a)

To determine

To find:The model for the volume of the function.

(a)

Expert Solution
Check Mark

Answer to Problem 35E

The model for the volume of the function is V(x)=(17−2x)(12,5−2x)(2x) cm3 .

Explanation of Solution

The model for the volume of the box is given by,

  V(x)=(17−2x)(12,5−2x)(2x) cm3

Therefore, the model for the volume of the function is V(x)=(17−2x)(12,5−2x)(2x) cm3 .

(b)

To determine

To find: The dimension of each box.

(b)

Expert Solution
Check Mark

Answer to Problem 35E

The dimension of each box is 2.4 cm that would yield the maximum volume of 451 cm3 .

Explanation of Solution

Draw the graph of the function.

  V(x)=(17−2x)(12,5−2x)(2x) cm3

The graph is shown below.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.6, Problem 35E , additional homework tip 1

Figure (1)

From the graph the maximum volume occurs at x=2.4 cm .

Therefore, the dimension of each box is 2.4 cm that would yield the maximum volume of 451 cm3 .

(c)

To determine

To find: The reason velocity is not a function.

(c)

Expert Solution
Check Mark

Answer to Problem 35E

The reason velocity is not a function is stated below.

Explanation of Solution

The velocity is not a function, because for each value of KE and m there will be two different velocities, the positive and the negative because the function is a square root.

(d)

To determine

To find: The dimension of each box.

(d)

Expert Solution
Check Mark

Answer to Problem 35E

The dimension of each box is 2.4 cm that would yield the maximum volume of 451 cm3 .

Explanation of Solution

Draw the graph of the function.

  V(x)=(17−2x)(12,5−2x)(2x) cm3

The graph is shown below.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.6, Problem 35E , additional homework tip 2

Figure (1)

From the graph the maximum volume occurs at x=2.4 cm .

Therefore, the dimension of each box is 2.4 cm that would yield the maximum volume of 451 cm3 .

(e)

To determine

To construct: The physical model of the box and calculate the volume and compare with the mathematically calculated.

(e)

Expert Solution
Check Mark

Answer to Problem 35E

The calculation of the volume is 451 cm2 and is same as the mathematically calculated volume.

Explanation of Solution

From the model.

  Volume=4.74×12.26×7.76=451 cm2

Therefore, the calculated volume is 451 cm2 and is same as the mathematically calculated volume.

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Chapter 3.6, Problem 34E
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Chapter 3.6, Problem 36E

Chapter 3 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 3.1 - Prob. 1CFUCh. 3.1 - Prob. 2CFUCh. 3.1 - Prob. 3CFUCh. 3.1 - Prob. 4CFUCh. 3.1 - Prob. 5CFUCh. 3.1 - Prob. 6CFUCh. 3.1 - Prob. 7CFUCh. 3.1 - Prob. 8CFUCh. 3.1 - Prob. 9CFUCh. 3.1 - Prob. 10CFU
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