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Unformatted text preview: 10.1 Curves Defined by Parametric Equations The trajectory of a point moving in the coordinate plane is an important type of curve. To describe the motion of the point at time t, the position is given by (x(t),y(t)). We are expressing both rectangular points, x and y, at functions of a third variable, called a parameter , instead of expressing x in terms of y or y in terms of x. So, as the value of t varies, a parametric curve C is traced. The parameter does not have to represent time, but in many applications it does. A parametric curve C in the plane is a pair of functions, x=f(t) and y=g(t), that give x and y as continuous functions of the real number t (the parameter) in some interval. Example: Determine the graph of the curve 2 1 2 , 3 3 x t y t t = =- ≤ ≤ Your calculator can graph parametric curves. Place the calculator in parametric mode and then go the graph menu. You will see Your calculator can graph parametric curves....
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- Fall '08
- Equations, 2 sec, Parametric equation, 1 sec, 0.5 sec, parametric curve