Chapter 8Plane Curves
and Parametric Equations
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Definition of a Plane Curve
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Eliminating the Parameter
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Definition of a Smooth Curve
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Figure 8.12:Parametric form of the Derivative
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Second and Third Derivative
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Figure 8.14: A Figure withTwo Tangent lines at a Point
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Arc Length in Parametric Form
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Figure 8.15: An Epicycloid
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Area of a Surface of Revolution
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Figure 8.18: Polar Coordinates
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Figure 8.20: Coordinate Conversion
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Figure 8.25:Sketching the Graph of r = 2cos(3)
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Figure 8.27: Slope in Polar Forms
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Tangent Lines at the Pole
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Figure 8.31: The Areaof a Sector of a Circle
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Figure 8.32:Area in Polar Coordinates
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Arc Length of a Polar Curve
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Area of a Surface of Revolution
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Review of Conics
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Classification ofConics by Eccentricity
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Figure 8.40: Graphs of Conics
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Figure 8.42:Polar Equation of Conics