Chapter 11 Section 11.1 Parametric, Vector, and Polar Functions

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Presentation transcript:

Chapter 11 Section 11.1 Parametric, Vector, and Polar Functions Parametric Functions

Quick Review

What you’ll learn about The slope and concavity of a curve given by parametric functions The length of a curve (arc length) given by parametric functions …and why Parametric equations enable us to define some interesting and important curves that would be difficult or impossible to define in the form y=f (x).

Example Reviewing Some Parametric Cur ves

Parametric Differentiation Formulas

Example Analyzing a Parametric Curve

Arc Length of a Parametrized Curve

Example Measuring a Parametric Curve

Cycloids

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