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Find '(t), given r(t) r' (t) = = (3e-2t, 2 sin(2t), - t³ + 3).

Find '(t), given r(t) r' (t) = = (3e-2t, 2 sin(2t), - t³ + 3).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3.2.2

Find \(\vec{r}'(t)\), given \(\vec{r}(t) = \langle 3e^{-2t},\ 2\sin(2t),\ -t^3 + 3 \rangle\). \[ \vec{r}'(t) = \langle \boxed{\phantom{3e^{-2t}}},\ \boxed{\phantom{2\sin(2t)}},\ \boxed{\phantom{-t^3 + 3}} \rangle \]
Transcribed Image Text:Find \(\vec{r}'(t)\), given \(\vec{r}(t) = \langle 3e^{-2t},\ 2\sin(2t),\ -t^3 + 3 \rangle\). \[ \vec{r}'(t) = \langle \boxed{\phantom{3e^{-2t}}},\ \boxed{\phantom{2\sin(2t)}},\ \boxed{\phantom{-t^3 + 3}} \rangle \]
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