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Calculus with Analytic Geometry
Calculus of a Single Variable
Multivariable Calculus, Seventh Edition
Ron Larson - The Pennsylvania State University, The Behrend
College
Robert P. Hostetler - The Pennsylvania State University, The Behrend College
Bruce H. Edwards - University of Florida | | |
| | Chapter Summary
Chapter 9: Conics, Parametric Equations, and Polar Coordinates
9.1
- Understand the definition of a conic section.
- Analyze and write equations of parabolas using properties of parabolas.
- Analyze and write equations of ellipses using properties of ellipses.
- Analyze and write equations of hyperbolas using properties of hyperbolas.
9.2
- Sketch the graph of a curve given by a set of parametric equations.
- Eliminate the parameter in a set of parametric equations.
- Find a set of parametric equations to represent a curve.
9.3
- Find the slope of a tangent line to a curve given by a set of parametric equations.
- Find the arc length of a curve given by a set of parametric equations.
9.4
- Understand the polar coordinate system.
- Rewrite rectangular equations in polar form and vice versa.
- Sketch the graph of an equation in polar form.
- Find the slop of a tangent line to a polar graph.
- Identify several types of special polar graphs.
9.5
- Find the area of a region bounded by a polar graph.
- Find the points of intersection of two polar graphs.
- Find the arc length of a polar graph.
- Find the area of a surface revolution (polar form).
9.6
- Analyze and write polar equations of conics.
- Understand and use Kepler’s Laws of planetary motion.
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