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: 1

Answer

See the explanation.

Work Step by Step

A vector function is known to be a a function whose domain is a set of real numbers, that is, $D \in N$, and whose range is a set of multidimensional vectors. Let us consider $R(t)$ any vector-valued function in $3D$. To differentiate or integrate a vector-valued function, we will have to differentiate or integrate each component of a function individually or separately.
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