Evaluate the derivative (r1(t) × r2(t)) where r1(t) =< t², t", t > and r2(t) =< 0, e', 0 >. (Use symbolic notation and fractions where needed. Give your answer in the form of comma separated list of x, y, zcomponents.)
Evaluate the derivative (r1(t) × r2(t)) where r1(t) =< t², t", t > and r2(t) =< 0, e', 0 >. (Use symbolic notation and fractions where needed. Give your answer in the form of comma separated list of x, y, zcomponents.)
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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![Evaluate the derivative \( \dfrac{d}{dt} (\mathbf{r}_1(t) \times \mathbf{r}_2(t)) \)
where \( \mathbf{r}_1(t) = \langle t^2, \, t^7, \, t \rangle \) and \( \mathbf{r}_2(t) = \langle 0, \, e^t, \, 0 \rangle \).
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma-separated list of \( x, \, y, \, z \) components.)
\[
\dfrac{d}{dt} (\mathbf{r}_1(t) \times \mathbf{r}_2(t)) = \langle \, \, \, > \, \text{help (fractions)}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ced33f3-9784-42db-addd-1c9bdb632f18%2F22d0a33b-bb2a-4ea4-867c-d2d23430faa1%2Fsqbh9af_processed.png&w=3840&q=75)
Transcribed Image Text:Evaluate the derivative \( \dfrac{d}{dt} (\mathbf{r}_1(t) \times \mathbf{r}_2(t)) \)
where \( \mathbf{r}_1(t) = \langle t^2, \, t^7, \, t \rangle \) and \( \mathbf{r}_2(t) = \langle 0, \, e^t, \, 0 \rangle \).
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma-separated list of \( x, \, y, \, z \) components.)
\[
\dfrac{d}{dt} (\mathbf{r}_1(t) \times \mathbf{r}_2(t)) = \langle \, \, \, > \, \text{help (fractions)}
\]
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