a. Explanation Given : It is given in the question that the number of bacteria after t hours in a controlled laboratory experiment is n = f ( t ) Concept Used: In this we have to use the concept of derivatives and function. Calculation: f ' ( 5 ) means that at what rate are the bacteria increasing in the laboratory with respect to time after 5 hours b. To determine Explain whether f ' ( 5 ) o r f ' ( 10 ) is larger and also explain it’s affect on our conclusion,if the supply of nutrients is limited.

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Question

Chapter 3.1, Problem 38E

To determine

Find the meaning derivative of f'(5) .Find its units.

To determine

Explain whether f'(5) or f'(10) is larger and also explain it’s affect on our conclusion,if the supply of nutrients is limited.

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Chapter 3.1, Problem 37E

Chapter 3.1, Problem 39E

Chapter 3 Solutions

Biocalculus

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Find the meaning derivative of f ' ( 5 ) .Find its units.

Solution Summary: The author explains that the number of bacteria after t hours in a controlled laboratory experiment is n=f(t).