Find the velocity vector for the position vector 7 (t) = (sin(7t), 6t°, e-24).x componenty componentz component

Name: Find the velocity vector for the position vector 7 (t) = (sin(7t), 6t
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Description: Find the velocity vector for the position vector 7 (t) = (sin(7t), 6t°, e-24).x componenty componentz component

Given, The position vector is r→t=<sin7t,6t9,e-2t>.

Answered: Find the velocity vector for the…

Math

Calculus

Find the velocity vector for the position vector 7 (t) = (sin(7t), 6t°, e¯24).

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.3: Vectors In The Plane

Problem 10ECP

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Question

Find the velocity vector for the position vector 7 (t) = (sin(7t), 6t°, e-24).
x component
y component
z component

Expert Solution

Step 1

$G i v e n, T h e p o s i t i o n v e c t o r i s \vec{r} (t) = < \sin (7 t), 6 t^{9}, e^{- 2 t} > .$

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