Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 13 - Vector Functions - Review - Concept Check - Page 897: 5

Answer

See the explanation.

Work Step by Step

Consider a vector function $r(t)$, which is equal to $\lt a(t), b(t), c(t) \gt;x \leq t \leq y$. Then, the length of the space curve is defined as: $ L=\int_x^y|r'(t)|dt=\int_x^y\sqrt {[a'(t)]^2+[b'(t)]^2+[c'(t)]^2}dt$
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