Average Value Problems in Motion and Elsewhere Lesson 10-3.

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Presentation transcript:

Average Value Problems in Motion and Elsewhere Lesson 10-3

Since average velocity might entail both positive and negative values, over some time interval, and we can conclude… Given our previous lesson… We can conclude…

Definition: Average Velocity

Definition: Average Value

Example 1: Find the average value of the function on [–1,2]

Example 2: Find the average velocity of the function on the time interval [3,6]

Example 2: Geometric Interpretation time interval [3,6] 4.734

Example 3: Find the average velocity of the function on [0,π]

Example 4: Find a formula in terms of k for the average value of on the interval [0,k] where k is a positive constant and a is also a constant.

Use this formula to find the average value of on the interval [0,4] Example 4: Find a formula in terms of k for the average value of on the interval [0,k].

Homework Textbook pg. 511 Q1-10 and #1-11 odd