1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 7.4 Lengths of Curves

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 2 Quick Review

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 3 Quick Review Solutions

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 4 What you’ll learn about A Sine Wave Length of a Smooth Curve Vertical Tangents, Corners, and Cusps …and why The length of a smooth curve can be found using a definite integral.

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 5 Example The Length of a Sine Wave

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 6 Example The Length of a Sine Wave

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 7 Arc Length: Length of a Smooth Curve

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 8 Example Applying the Definition

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 9 Example A Vertical Tangent

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 10 Example Getting Around a Corner