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

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Presentation transcript:

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

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

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

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.

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

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

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

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

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

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

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