Answer
$14\ \text{units}$
Work Step by Step
The mass can be calculated as:
$Mass, M=\int_0^6 \rho(x) \ dx=\int_0^2 1 \ dx+\int_2^4 2 \ dx+\int_4^6 4 \ dx$
or, $=[x]_0^2+[2x]_2^4+[4x]_4^6$
or, $=2+2(4-2)+4(6-4)$
or, $=14\ \text{units}$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 6 - Applications of Integration - Review Exercises - Page 509: 52
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
