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Conics, Parametric Equations, and Polar Coordinates

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Presentation on theme: "Conics, Parametric Equations, and Polar Coordinates"— Presentation transcript:

1 Conics, Parametric Equations, and Polar Coordinates
Chapter 10 Conics, Parametric Equations, and Polar Coordinates

2 Figure 10.1 and Figure 10.2 Copyright © Houghton Mifflin Company. All rights reserved.

3 Theorem 10.1 Standard Equation of a Parabola
Copyright © Houghton Mifflin Company. All rights reserved.

4 Theorem 10.2 Reflective Property of a Parabola and Figure 10.6
Copyright © Houghton Mifflin Company. All rights reserved.

5 Figure 10.7 and Figure 10.8 Copyright © Houghton Mifflin Company. All rights reserved.

6 Theorem 10.3 Standard Equation of an Ellipse
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7 Theorem 10.4 Reflective Property of an Ellipse
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8 Definition of Eccentricity of an Ellipse and Figure 10.12
Copyright © Houghton Mifflin Company. All rights reserved.

9 Theorem 10.5 Standard Equation of a Hyperbola
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10 Theorem 10.6 Asymptotes of a Hyperbola and Figure 10.15
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11 Definition of Eccentricity of a Hyperbola and Figure 10.17
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12 Definition of a Plane Curve
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13 Definition of a Smooth Curve
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14 Figure 10.26 Copyright © Houghton Mifflin Company. All rights reserved.

15 Figure and Figure 10.28 Copyright © Houghton Mifflin Company. All rights reserved.

16 Theorem 10.7 Parametric Form of the Derivative
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17 Theorem 10.8 Arc Length in Parametric Form
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18 Theorem 10.9 Area of a Surface of Revolution
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19 Figure 10.36 Copyright © Houghton Mifflin Company. All rights reserved.

20 Figure 10.37 Copyright © Houghton Mifflin Company. All rights reserved.

21 Figure 10.38 Copyright © Houghton Mifflin Company. All rights reserved.

22 Theorem 10.10 Coordinate Conversion
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23 Theorem 10.11 Slope in Polar Form
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24 Theorem 10.12 Tangent Lines at the Pole and Figure 10.48
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25 Limacons Copyright © Houghton Mifflin Company. All rights reserved.

26 Rose Curves Copyright © Houghton Mifflin Company. All rights reserved.

27 Circles and Lemniscates
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28 Figure 10.49 Copyright © Houghton Mifflin Company. All rights reserved.

29 Figure 10.50 Copyright © Houghton Mifflin Company. All rights reserved.

30 Theorem 10.13 Area in Polar Coordinates
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31 Figure and Figure 10.54 Copyright © Houghton Mifflin Company. All rights reserved.

32 Theorem 10.14 Arc Length of a Polar Curve
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33 Theorem 10.15 Area of a Surface of Revolution
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34 Theorem 10. 16 Classification of Conics by Eccentricity and Figure 10
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35 Theorem and Figure 10.60 Copyright © Houghton Mifflin Company. All rights reserved.


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