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Chapter 8 Plane Curves and Parametric Equations. Copyright © Houghton Mifflin Company. All rights reserved.8 | 2 Definition of a Plane Curve.

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Presentation on theme: "Chapter 8 Plane Curves and Parametric Equations. Copyright © Houghton Mifflin Company. All rights reserved.8 | 2 Definition of a Plane Curve."— Presentation transcript:

1 Chapter 8 Plane Curves and Parametric Equations

2 Copyright © Houghton Mifflin Company. All rights reserved.8 | 2 Definition of a Plane Curve

3 Copyright © Houghton Mifflin Company. All rights reserved.8 | 3 Eliminating the Parameter

4 Copyright © Houghton Mifflin Company. All rights reserved.8 | 4 Definition of a Smooth Curve

5 Copyright © Houghton Mifflin Company. All rights reserved.8 | 5 Figure 8.12: Parametric form of the Derivative

6 Copyright © Houghton Mifflin Company. All rights reserved.8 | 6 Second and Third Derivative

7 Copyright © Houghton Mifflin Company. All rights reserved.8 | 7 Figure 8.14: A Figure with Two Tangent lines at a Point

8 Copyright © Houghton Mifflin Company. All rights reserved.8 | 8 Arc Length in Parametric Form

9 Copyright © Houghton Mifflin Company. All rights reserved.8 | 9 Figure 8.15: An Epicycloid

10 Copyright © Houghton Mifflin Company. All rights reserved.8 | 10 Area of a Surface of Revolution

11 Copyright © Houghton Mifflin Company. All rights reserved.8 | 11 Figure 8.18: Polar Coordinates

12 Copyright © Houghton Mifflin Company. All rights reserved.8 | 12 Figure 8.20: Coordinate Conversion

13 Copyright © Houghton Mifflin Company. All rights reserved.8 | 13 Figure 8.25: Sketching the Graph of r = 2cos(3  )

14 Copyright © Houghton Mifflin Company. All rights reserved.8 | 14 Figure 8.27: Slope in Polar Forms

15 Copyright © Houghton Mifflin Company. All rights reserved.8 | 15 Tangent Lines at the Pole

16 Copyright © Houghton Mifflin Company. All rights reserved.8 | 16 Figure 8.31: The Area of a Sector of a Circle

17 Copyright © Houghton Mifflin Company. All rights reserved.8 | 17 Figure 8.32: Area in Polar Coordinates

18 Copyright © Houghton Mifflin Company. All rights reserved.8 | 18 Arc Length of a Polar Curve

19 Copyright © Houghton Mifflin Company. All rights reserved.8 | 19 Area of a Surface of Revolution

20 Copyright © Houghton Mifflin Company. All rights reserved.8 | 20 Review of Conics

21 Copyright © Houghton Mifflin Company. All rights reserved.8 | 21 Classification of Conics by Eccentricity

22 Copyright © Houghton Mifflin Company. All rights reserved.8 | 22 Figure 8.40: Graphs of Conics

23 Copyright © Houghton Mifflin Company. All rights reserved.8 | 23 Figure 8.42: Polar Equation of Conics


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