Chapter 12, Problem 38RE

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Bacterial growth** A population of bacteria grows at the rate

*p* is the population and *t* is time. If the population is 1000 when
*t.*

To determine

**To calculate:** The equation which provides the size of population at the time

Explanation

**Given Information:**

The provided population of bacteria grows at the rate,

Where

The population of the bacteria is

**Formula used:**

According to the power rule of integrals,

**Calculation:**

Consider the rate at which the population of bacteria grows,

Where

Now, the rate of population growth can be obtained by differentiating the population function as,

Thus, the population function can be obtained by integrating the above function as,

Sect-12.1 P-1CPSect-12.1 P-2CPSect-12.1 P-1ESect-12.1 P-2ESect-12.1 P-3ESect-12.1 P-4ESect-12.1 P-5ESect-12.1 P-6ESect-12.1 P-7ESect-12.1 P-8E

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