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- https://math.libretexts.org/Courses/Coastline_College/Math_C170%3A_Precalculus_(Tran)/08%3A_Further_Applications_of_Trigonometry/8.07%3A_Parametric_EquationsWe begin this section with a look at the basic components of parametric equations and what it means to parameterize a curve. Then we will learn how to eliminate the parameter, translate the equations ...We begin this section with a look at the basic components of parametric equations and what it means to parameterize a curve. Then we will learn how to eliminate the parameter, translate the equations of a curve defined parametrically into rectangular equations, and find the parametric equations for curves defined by rectangular equations.
- https://math.libretexts.org/Courses/Highline_College/Math_142%3A_Precalculus_II/05%3A_Applications_of_Trigonometry_-_Oblique_Triangles_and_Polar_Coordinates/5.07%3A_Parametric_EquationsWe begin this section with a look at the basic components of parametric equations and what it means to parameterize a curve. Then we will learn how to eliminate the parameter, translate the equations ...We begin this section with a look at the basic components of parametric equations and what it means to parameterize a curve. Then we will learn how to eliminate the parameter, translate the equations of a curve defined parametrically into rectangular equations, and find the parametric equations for curves defined by rectangular equations.
- https://math.libretexts.org/Workbench/MAT_2420_Calculus_II/07%3A_Parametric_Equations_and_Polar_Coordinates/7.02%3A_Parametric_EquationsIn this section we examine parametric equations and their graphs. In the two-dimensional coordinate system, parametric equations are useful for describing curves that are not necessarily functions. Th...In this section we examine parametric equations and their graphs. In the two-dimensional coordinate system, parametric equations are useful for describing curves that are not necessarily functions. The parameter is an independent variable that both x and y depend on, and as the parameter increases, the values of x and y trace out a path along a plane curve.
- https://math.libretexts.org/Courses/SUNY_Geneseo/Math_222_Calculus_2/06%3A_Parametric_Equations_and_Polar_Coordinates/6.01%3A_Parametric_EquationsIn this section we examine parametric equations and their graphs. In the two-dimensional coordinate system, parametric equations are useful for describing curves that are not necessarily functions. Th...In this section we examine parametric equations and their graphs. In the two-dimensional coordinate system, parametric equations are useful for describing curves that are not necessarily functions. The parameter is an independent variable that both x and y depend on, and as the parameter increases, the values of x and y trace out a path along a plane curve.
- https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_2e_(OpenStax)/08%3A_Further_Applications_of_Trigonometry/8.07%3A_Parametric_EquationsWe begin this section with a look at the basic components of parametric equations and what it means to parameterize a curve. Then we will learn how to eliminate the parameter, translate the equations ...We begin this section with a look at the basic components of parametric equations and what it means to parameterize a curve. Then we will learn how to eliminate the parameter, translate the equations of a curve defined parametrically into rectangular equations, and find the parametric equations for curves defined by rectangular equations.
- https://math.libretexts.org/Workbench/Calculus_I%3A_Differential_Calculus/05%3A_Differential_Calculus_with_Parametric_Curves/5.01%3A_Parametric_EquationsIn this section we examine parametric equations and their graphs. In the two-dimensional coordinate system, parametric equations are useful for describing curves that are not necessarily functions. Th...In this section we examine parametric equations and their graphs. In the two-dimensional coordinate system, parametric equations are useful for describing curves that are not necessarily functions. The parameter is an independent variable that both x and y depend on, and as the parameter increases, the values of x and y trace out a path along a plane curve.
- https://math.libretexts.org/Courses/Quinebaug_Valley_Community_College/MAT186%3A_Pre-calculus_-_Walsh/08%3A_Further_Applications_of_Trigonometry/8.06%3A_Parametric_EquationsWe begin this section with a look at the basic components of parametric equations and what it means to parameterize a curve. Then we will learn how to eliminate the parameter, translate the equations ...We begin this section with a look at the basic components of parametric equations and what it means to parameterize a curve. Then we will learn how to eliminate the parameter, translate the equations of a curve defined parametrically into rectangular equations, and find the parametric equations for curves defined by rectangular equations.
- https://math.libretexts.org/Courses/City_College_of_San_Francisco/CCSF_Calculus/10%3A_Parametric_Equations_and_Polar_Coordinates/10.02%3A_Parametric_EquationsThis section introduces parametric equations, where two separate equations define x and y as functions of a third variable, usually t. It explains how to graph parametric curves, eliminate...This section introduces parametric equations, where two separate equations define x and y as functions of a third variable, usually t. It explains how to graph parametric curves, eliminate the parameter to find Cartesian equations, and analyze motion along a path. Examples illustrate the flexibility of parametric equations in describing curves that are difficult to express in standard Cartesian form.
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_401%3A_Calculus_II_-_Integral_Calculus/05%3A_Parametric_Equations_and_Polar_Coordinates/5.01%3A_Parametric_EquationsThis section introduces parametric equations, where two separate equations define x and y as functions of a third variable, usually t. It explains how to graph parametric curves, eliminate...This section introduces parametric equations, where two separate equations define x and y as functions of a third variable, usually t. It explains how to graph parametric curves, eliminate the parameter to find Cartesian equations, and analyze motion along a path. Examples illustrate the flexibility of parametric equations in describing curves that are difficult to express in standard Cartesian form.
- https://math.libretexts.org/Bookshelves/Calculus/Calculus_(Guichard)/10%3A_Polar_Coordinates_and_Parametric_Equations/10.04%3A_Parametric_EquationsSuppose f(t) and g(t) are functions. Then the equations x=f(t) and y=g(t) describe a curve in the plane. But t in general is simply an arbitrary variable, often called in this case...Suppose f(t) and g(t) are functions. Then the equations x=f(t) and y=g(t) describe a curve in the plane. But t in general is simply an arbitrary variable, often called in this case a parameter, and this method of specifying a curve is known as parametric equations. One important interpretation of t is time. In this interpretation, the equations x=f(t) and y=g(t) give the position of an object at time t.
- https://math.libretexts.org/Courses/Mission_College/Math_3B%3A_Calculus_2_(Sklar)/11%3A_Parametric_Equations_and_Polar_Coordinates/11.01%3A_Parametric_EquationsIn this section we examine parametric equations and their graphs. In the two-dimensional coordinate system, parametric equations are useful for describing curves that are not necessarily functions. Th...In this section we examine parametric equations and their graphs. In the two-dimensional coordinate system, parametric equations are useful for describing curves that are not necessarily functions. The parameter is an independent variable that both x and y depend on, and as the parameter increases, the values of x and y trace out a path along a plane curve.
