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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 3.8, Problem 23E

To determine

**To find:** the expression for the number of bacteria after

Expert Solution

Expression for growth of

The rate of growth of bacteria after 2.5 hours is

**Given:**

The initial population

Population of the bacteria triples in one hour as per the rate expression given below.

**Calculation:**

Expression for

Substitute the 400 for

Determine the rate of growth of population after 2.5 hours.

Differentiate equation (2) with respect to

Substitute 2.5 for

Expression for growth of

The rate of growth of bacteria after 2.5 hours is