Concept explainers
DISCOVER WRITE: More Information in Parametric Equations In this section we stated that parametric equations contain more information than just the shape of a curve. Write a short paragraph explaining this statement. Use the following example and your answers to parts (a) and (b) below in your explanation.
The position of a particle is given by the parametric equations
where t represents time. We know that the shape of the path of the particle is a circle.
- (a) How long does it take the particle to go once around the circle? Find parametric equations if the particle moves twice as fast around the circle.
- (b) Does the particle travel clockwise or counterclockwise around the circle? Find parametric equations if the particle moves in the opposite direction around the circle.
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Bundle: Precalculus: Mathematics for Calculus, 7th + WebAssign Printed Access Card for Stewart/Redlin/Watson's Precalculus, Enhanced Edition, 7th Edition, Single-Term
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning