Parametric functions

Parametric functionsToday we will learn about parametric functions in the plane and analyze them using derivatives and integrals.Parametric CurvesInstead of defining the points (x, y) on a planar curve by relating y directly to x, we can define both coordinates as functions of a parameter t. The resulting set of points may or may not define y as a function of x (that is, the parametric curve might fail the vertical line test). Some examples appear below:

Converting parametric equations

Parametric differentiation

Analyzing a parametric curve

Arc length

Assignment:p. 535: 1, 4, 10, 11