BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.5, Problem 29E

(a)

To determine

To find: The size of the population after 15h .

Expert Solution

Answer to Problem 29E

The size of the population after 15h is 3200 .

Explanation of Solution

Given information:

Initial population of the bacteria is 100 and the population is double in every three hours.

The size of the population after 15h is calculated as,

  P(t)=P0(2t/3)P(15h)=100(2)153P(15h)=3200

Therefore, the size of the population after 15h is 3200 .

(b)

To determine

To find: The size of the population after th .

Expert Solution

Answer to Problem 29E

The size of the population after th is 100(2)t3 .

Explanation of Solution

Given information:

Initial population of the bacteria is 100 and the population is double in every three hours.

The size of the population after th is calculated as,

  P(t)=P0(2t/3)P(t)=100(2)t3

Therefore, the size of the population after th is 100(2)t3 .

(c)

To determine

To find: The size of the population after 20h .

Expert Solution

Answer to Problem 29E

The size of the population after 20h is 10160 .

Explanation of Solution

Given information:

Initial population of the bacteria is 100 and the population is double in every three hours.

The size of the population after 20h is calculated as,

  P(t)=P0(2t/3)P(20h)=100(2)203P(20h)=10159.3P(20h)10160

Therefore, the size of the population after 20h is 10160 .

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