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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.6, Problem 48E

(a)

To determine

The meaning of

Expert Solution

Here *t* hours in a controlled laboratory experiment.

Note that, the derivative *x*.

The derivative *t* hours in a controlled laboratory experiment.

Thus,

The instantaneous rate of change is equal to

Here

Thus, the units are number of bacteria per hours.

(b)

To determine

**To compare:** The values

Expert Solution

*t* hours in a controlled laboratory experiment.

The growth of population of bacteria is depends on the amount of nutrients, amount of space and the population of bacteria.

If the unlimited amount of space and nutrients,

The growth of bacteria population is depends on the population of bacteria.

The growth of bacteria population increases as the population of bacteria is increases.

The rate of change of bacteria population increases as the population of bacteria is increases.

Therefore,

If supply of nutrients is limited.

The growth rate of bacteria is decreasing at some point in time.