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MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

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Page 1: MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

MAT 125 – Applied Calculus5.6 - Exponential Functions as Mathematical Models

Page 2: MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

5.6 - Exponential Functions as Mathematical Models

2 Today’s Class We will be learning the following concepts today:

Exponential Growth

Exponential Decay

Learning Curves

Logistic Growth Functions

Dr. Erickson

Page 3: MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

5.6 - Exponential Functions as Mathematical Models

3 Example 1

Dr. Erickson

Page 4: MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

5.6 - Exponential Functions as Mathematical Models

4 Example 2

Dr. Erickson

Page 5: MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

5.6 - Exponential Functions as Mathematical Models

5 Example 3

Dr. Erickson

Page 6: MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

5.6 - Exponential Functions as Mathematical Models

6 Example 4

Dr. Erickson

Page 7: MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

5.6 - Exponential Functions as Mathematical Models

7 Example 5

Dr. Erickson

Page 8: MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

5.6 - Exponential Functions as Mathematical Models

8 Example 6

Dr. Erickson

Page 9: MAT 125 – Applied Calculus 5.6 - Exponential Functions as Mathematical Models

5.6 - Exponential Functions as Mathematical Models

9 Next Class We will discuss the following concepts:

Antiderivatives

The Indefinite Integral

Basic Integration Rules

Differential Equations

Initial-Value Problems

Please read through Section 6.1 – Antiderivatives and the Rules of Integration in your text book before next class.

Dr. Erickson


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