chapter 8 plane curves and parametric equations. copyright © houghton mifflin company. all rights...

Chapter 8Plane Curves

and Parametric Equations

Copyright © Houghton Mifflin Company. All rights reserved. 8 | 2

Definition of a Plane Curve


Eliminating the Parameter


Definition of a Smooth Curve


Figure 8.12:Parametric form of the Derivative


Second and Third Derivative


Figure 8.14: A Figure withTwo Tangent lines at a Point


Arc Length in Parametric Form


Figure 8.15: An Epicycloid


Area of a Surface of Revolution


Figure 8.18: Polar Coordinates


Figure 8.20: Coordinate Conversion


Figure 8.25:Sketching the Graph of r = 2cos(3)


Figure 8.27: Slope in Polar Forms


Tangent Lines at the Pole


Figure 8.31: The Areaof a Sector of a Circle


Figure 8.32:Area in Polar Coordinates


Arc Length of a Polar Curve


Area of a Surface of Revolution


Review of Conics


Classification ofConics by Eccentricity


Figure 8.40: Graphs of Conics


Figure 8.42:Polar Equation of Conics

Documents