University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 15 - Practice Exercises - Page 909: 25

Answer

$\sqrt 6$

Work Step by Step

Here, $r_u=1+j; r_v=1-j+k$ Then $|r_u \times r_v|=\sqrt 6$ The surface ares is given by: $S=\iint_S |r_u \times r_v| du dv$ Thus, $S=\int_0^1 \int_0^1 \sqrt 6 du dv =\sqrt 6(1-0)=\sqrt 6$
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