Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.1 Parametric Equations - Preliminary Questions - Page 602: 7

Answer

a): (iii) b): (ii) c): (i)

Work Step by Step

(a) The derivative $ \frac{d x}{d t}$ is the horizontal rate of change with respect to time. (b) The derivative $ \frac{d y}{d t}$ is the vertical rate of change with respect to time. (c) The derivative $ \frac{d y}{d x}$ is the slope of the tangent line to the curve.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.