Chapter 10 Conics, Parametric Equations, and Polar Coordinates.
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Transcript of Chapter 10 Conics, Parametric Equations, and Polar Coordinates.
Chapter 10
Conics, Parametric Equations, and Polar
Coordinates
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Figure 10.1 and Figure 10.2
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Theorem 10.1 Standard Equation of a Parabola
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Theorem 10.2 Reflective Property of a Parabola and Figure 10.6
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Figure 10.7 and Figure 10.8
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Theorem 10.3 Standard Equation of an Ellipse
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Theorem 10.4 Reflective Property of an Ellipse
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Definition of Eccentricity of an Ellipse and Figure 10.12
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Theorem 10.5 Standard Equation of a Hyperbola
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Theorem 10.6 Asymptotes of a Hyperbola and Figure 10.15
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Definition of Eccentricity of a Hyperbola and Figure 10.17
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Definition of a Plane Curve
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Definition of a Smooth Curve
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Figure 10.26
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Figure 10.27 and Figure 10.28
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Theorem 10.7 Parametric Form of the Derivative
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Theorem 10.8 Arc Length in Parametric Form
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Theorem 10.9 Area of a Surface of Revolution
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Figure 10.36
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Figure 10.37
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Figure 10.38
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Theorem 10.10 Coordinate Conversion
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Theorem 10.11 Slope in Polar Form
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Theorem 10.12 Tangent Lines at the Pole and Figure 10.48
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Limacons
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Rose Curves
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Circles and Lemniscates
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Figure 10.49
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Figure 10.50
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Theorem 10.13 Area in Polar Coordinates
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Figure 10.53 and Figure 10.54
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Theorem 10.14 Arc Length of a Polar Curve
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Theorem 10.15 Area of a Surface of Revolution
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Theorem 10.16 Classification of Conics by Eccentricity and Figure 10.58
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Theorem 10.17 and Figure 10.60