Contents xv 11 Systems of Equations and Inequalities 754 11.1 Systems of Linear Equations: Substitution and Elimination 755 Solve Systems of Equations by Substitution • Solve Systems of Equations by Elimination • Identify Inconsistent Systems of Equations Containing Two Variables • Express the Solution of a System of Dependent Equations Containing Two Variables • Solve Systems of Three Equations Containing Three Variables • Identify Inconsistent Systems of Equations Containing Three Variables • Express the Solution of a System of Dependent Equations Containing Three Variables 10 Analytic Geometry 680 10.1 Conics 681 Know the Names of the Conics 10.2 The Parabola 682 Analyze Parabolas with Vertex at the Origin • Analyze Parabolas with Vertex at ( ) h k , • Solve Applied Problems Involving Parabolas 10.3 The Ellipse 692 Analyze Ellipses with Center at the Origin • Analyze Ellipses with Center at ( ) h k , • Solve Applied Problems Involving Ellipses 10.4 The Hyperbola 705 Analyze Hyperbolas with Center at the Origin • Find the Asymptotes of a Hyperbola • Analyze Hyperbolas with Center at ( ) h k , • Solve Applied Problems Involving Hyperbolas 10.5 Rotation of Axes; General Form of a Conic 720 Identify a Conic • Use a Rotation of Axes to Transform Equations • Analyze an Equation Using a Rotation of Axes • Identify Conics without Rotating the Axes 10.6 Polar Equations of Conics 728 Analyze and Graph Polar Equations of Conics • Convert the Polar Equation of a Conic to a Rectangular Equation 10.7 Plane Curves and Parametric Equations 735 Graph Parametric Equations by Hand • Graph Parametric Equations Using a Graphing Utility • Find a Rectangular Equation for a Plane Curve Defined Parametrically • Use Time as a Parameter in Parametric Equations • Find Parametric Equations for Plane Curves Defined by Rectangular Equations Chapter Review 749 Chapter Test 752 Cumulative Review 752 Chapter Project 753 9.7 The Cross Product 669 Find the Cross Product of Two Vectors • Know Algebraic Properties of the Cross Product • Know Geometric Properties of the Cross Product • Find a Vector Orthogonal to Two Given Vectors • Find the Area of a Parallelogram Chapter Review 675 Chapter Test 678 Cumulative Review 679 Chapter Project 679
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