Calculus: Early Transcendentals (2nd Edition)

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

Chapter 11 - Vectors and Vector-Valued Functions - 11.6 Calculus of Vector-Valued Functions - 11.6 Exercises: 16

Answer

$\textbf{r}'(0) = \langle 1, 3, 5\rangle$

Work Step by Step

$\textbf{r}(t) = \langle f(t), g(t), h(t)\rangle$ $\textbf{r}'(t) = \langle f'(t), g'(t), h'(t)\rangle$ $\textbf{r}(t) = \langle e^t, e^{3t}, e^{5t}\rangle$ $\textbf{r}'(t) = \langle e^t, 3e^{3t}, 5e^{5t}\rangle$ $\textbf{r}'(0) = \langle e^{(0)}, 3e^{3(0)}, 5e^{5(0)}\rangle = \langle 1, 3, 5\rangle$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.