If u(t) = < sin(4t), cos(2t), t > and v(t) = < t, cos(2t), sin(4t) >, use the formula below to find the given derivative. d[u(t) × v (t)] = u' (t) × v (t) + u(t) × v′ (t) u(t) xv (t)] = <

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.10: Modeling Variation
Problem 4E
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If u(t) = < sin(4t), cos(2t), t > and v(t) = < t, cos(2t), sin(4t) >, use the formula below to find the given derivative.
-[u(t) × v (t)] = u' (t) × v (t) + u(t) × v' (t)
dt
× (1) µ] ²
[u(t) x v (t)] = <
>
Transcribed Image Text:If u(t) = < sin(4t), cos(2t), t > and v(t) = < t, cos(2t), sin(4t) >, use the formula below to find the given derivative. -[u(t) × v (t)] = u' (t) × v (t) + u(t) × v' (t) dt × (1) µ] ² [u(t) x v (t)] = < >
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