Conics, Parametric Equations, and Polar Coordinates

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Presentation transcript:

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

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

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

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

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

Theorem 10.3 Standard Equation of an Ellipse Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.4 Reflective Property of an Ellipse Copyright © Houghton Mifflin Company. All rights reserved.

Definition of Eccentricity of an Ellipse and Figure 10.12 Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.5 Standard Equation of a Hyperbola Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.6 Asymptotes of a Hyperbola and Figure 10.15 Copyright © Houghton Mifflin Company. All rights reserved.

Definition of Eccentricity of a Hyperbola and Figure 10.17 Copyright © Houghton Mifflin Company. All rights reserved.

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

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

Figure 10.26 Copyright © Houghton Mifflin Company. All rights reserved.

Figure 10.27 and Figure 10.28 Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.7 Parametric Form of the Derivative Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.8 Arc Length in Parametric Form Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.9 Area of a Surface of Revolution Copyright © Houghton Mifflin Company. All rights reserved.

Figure 10.36 Copyright © Houghton Mifflin Company. All rights reserved.

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

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

Theorem 10.10 Coordinate Conversion Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.11 Slope in Polar Form Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.12 Tangent Lines at the Pole and Figure 10.48 Copyright © Houghton Mifflin Company. All rights reserved.

Limacons Copyright © Houghton Mifflin Company. All rights reserved.

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

Circles and Lemniscates Copyright © Houghton Mifflin Company. All rights reserved.

Figure 10.49 Copyright © Houghton Mifflin Company. All rights reserved.

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

Theorem 10.13 Area in Polar Coordinates Copyright © Houghton Mifflin Company. All rights reserved.

Figure 10.53 and Figure 10.54 Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.14 Arc Length of a Polar Curve Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.15 Area of a Surface of Revolution Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10. 16 Classification of Conics by Eccentricity and Figure 10 Copyright © Houghton Mifflin Company. All rights reserved.

Theorem 10.17 and Figure 10.60 Copyright © Houghton Mifflin Company. All rights reserved.