c10s1

# c10s1 - 10.1 Curves Defined by Parametric Equations The...

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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 in terms of or in terms of . So, as the value of 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 and as continuous functions of the real number (the parameter) in some interval. Example: Determine the graph of the curve 2 1 2 ,3 0 xty t t == − ≤ 3 Your calculator can graph parametric curves. Place the calculator in parametric mode and then go the graph menu. You will see a screen like the one below. The window is very important when graphing in parametric mode because you must set values of and a t-step .

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## This note was uploaded on 01/20/2012 for the course MATH 2057 taught by Professor Estrada during the Fall '08 term at LSU.

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c10s1 - 10.1 Curves Defined by Parametric Equations The...

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