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Parametric functions

Parametric functions. Today we will learn about parametric functions in the plane and analyze them using derivatives and integrals. Parametric Curves.

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Parametric functions

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  1. Parametric functions Today we will learn about parametric functions in the plane and analyze them using derivatives and integrals.

  2. Parametric Curves • Instead 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 yas a function of x (that is, the parametric curve might fail the vertical line test). Some examples appear below:

  3. Converting parametric equations

  4. Parametric differentiation

  5. Analyzing a parametric curve

  6. Arc length

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

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