Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.1 Review of Functions - 1.1 Exercises: 21

Answer

$d$=dependent variable $t$=independent variable Domain: [0,8]

Work Step by Step

Since the distance depends on the time that the stone spends in the air, $d$ is the dependent variable and $t$ is the independent variable. The domain consists of the appropriate values of $t$. The stone's path begins at $t=0$ and ends when it hits the ground. We find the time that it hits the ground by setting $d=0$: $40t-5t^2=5t(8-t)0$ $t=0$, $t=8$ Thus the domain is: [0,8]
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.