Answer
$24$
Work Step by Step
Flow $=\int_C F(r(t)) \dfrac{dr}{dt}(dt)$
and $ \dfrac{dr}{dt}= 3 j+4 k$
Then , flow $=\int_0^{1}(12t^2 j+9t^2 k) (3 j+4 k)dt$
or, $= \int_0^{1}36t^2+36t^2 dt$
or, $=[ 24t^3]_0^{1}$
or, $=24$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 15 - Section 15.2 - Vector Fields and Line Integrals: Work, Circulation, and Flux - Exercises - Page 840: 48
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