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

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MAT 125 – Applied Calculus Exponential Functions as Mathematical Models

Today’s Class  We will be learning the following concepts today:  Exponential Growth  Exponential Decay  Learning Curves  Logistic Growth Functions Dr. Erickson Exponential Functions as Mathematical Models 2

Example 1 Dr. Erickson Exponential Functions as Mathematical Models 3

Example 2 Dr. Erickson Exponential Functions as Mathematical Models 4

Example 3 Dr. Erickson Exponential Functions as Mathematical Models 5

Example 4 Dr. Erickson Exponential Functions as Mathematical Models 6

Example 5 Dr. Erickson Exponential Functions as Mathematical Models 7

Example 6 Dr. Erickson Exponential Functions as Mathematical Models 8

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 Exponential Functions as Mathematical Models 9

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