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10.6 Parametric Equations. Definition of Parametric Equations. parametric equation is a method of defining a relation using parameters. A simple kinematic 1 example is when one uses a time parameter to determine the position, velocity, and other information about a body in motion.
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Definition of Parametric Equations parametric equation is a method of defining a relation using parameters. A simple kinematic1 example is when one uses a time parameter to determine the position, velocity, and other information about a body in motion. 1. Kinematic.The branch of mechanics that studies the motion of a body or a system of bodies without consideration given to its mass or the forces acting on it. http://en.wikipedia.org/wiki/Parametric_equation
We will not be finding parametric equations, in this example. In this class we will graph parametric equation also eliminating the parameter. Given the equation With respect to time Rectangular equation Parametric Equations The parametric equations have to be Continuous
Both Equations graph the same. The Parametric states how fast to graph Given the equation With respect to time Rectangular equation Parametric Equations
Graphing Parameter equations Parameter equations
Graphing Parameter equations Parameter equations
Change to Rectangular Equation Parameter equations to Rectangular equation
Change from Parametric to Rectangular Parametric Equations
Change from Parametric to Rectangular Parametric Equations
Change from Parametric to Rectangular Parametric Equations
Change from Parametric to Rectangular Parametric Equations
Change from Parametric to Rectangular Parametric Equations
Change from Parametric to Rectangular Parametric Equations
Change from Parametric to Rectangular x = h + a Cosθ y = k + b Sinθ
Change from Parametric to Rectangular x = h + a Cosθ y = k + b Sinθ
What would the parametric equation be for a circle with center at (3,2) and radius of 4 (x – h)2 + (y – k)2 = r2 In a circle a = b = 4
Homework Page 747 – 749 # 7, 14, 21, 28, 32, 41, 48
Homework Page 747 – 749 # 5, 10, 15, 20, 25, 30, 35, 40