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Chap10_Sec1

# Chap10_Sec1 - Thus we can interpret x y = f t g t as the...

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10.1 Curves Defined by arametric Equations Parametric Equations In this section, we will learn about: Parametric equations and generating their curves.

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INTRODUCTION Imagine that a particle moves along the curve C shown here. s Can the curve C be described as an equation of the form y = f ( x )? However, the x - and y -coordinates of the particle are functions of time t . So, we can write x = f ( t ) and y = g ( t ) . The curve C is called a parametric curve
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Unformatted text preview: . Thus, we can interpret ( x , y ) = ( f ( t ), g ( t )) as the position of a particle at time t . The parametric equations have an advantage––they tell us when the particle was at a point. They also indicate the direction of the motion. These are called parametric equations . Graphing devices are particularly useful when sketching complicated curves. For instance, these curves would be virtually impossible to produce COMPLEX CURVES by hand....
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Chap10_Sec1 - Thus we can interpret x y = f t g t as the...

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