10.3. Parameters and Parameter Elimination http://www.ck12.org
10.3 Parameters and Parameter Elimination
Here you will represent equations and graphs in a new way with parametric equations.
In a parametric equation, the variablesxandyare not dependent on one another. Instead, both variables are dependent
on a third variable,t. Usuallytwill stand for time. A real world example of the relationship betweenx,yandtis the
height, weight and age of a baby.
Both the height and the weight of a baby depend on time, but there is also clearly a positive relationship between just
the height and weight of the baby. By focusing on the relationship between the height and the weight and letting
time hide in the background, you create a parametric relationship between the three variables.
What other types of real world situations are modeled with parametric equations?
Watch This
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/62014http://www.youtube.com/watch?v=Fz6p4aC9e2Q James Sousa: Introduction to Parametric Equations
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/62016http://www.youtube.com/watch?v=tW6N7DFTvrM James Sousa: Converting Parametric Equation to Rectangular
Form
MEDIA
Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/62018http://www.youtube.com/watch?v=zs0Nw0tb4y8 James Sousa: Parametric Equations for an Ellipse in Cartesian
Form