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## 10.6 Parametric Equations

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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