Calculus: Early Transcendentals (2nd Edition)

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

Chapter 6 - Applications of Integration - 6.7 Physical Applications - 6.7 Exercises - Page 467: 17

Answer

$9 \ J$

Work Step by Step

The work done on a object can be found as: $W=\int_a^b F(x) \ dx$ This implies that $W=\int_0^3 2x \ dx \\=\dfrac{1}{2}\times 2 \times |x^2|_0^3 \\=(3)^2-0\\=9 \ J$
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