If u(t)=sin(t), cos(4t), t > and v(t) = < t, cos(4t), sin(t) >, use the formula below to find the given derivative. [u(t) · v (t)] = u' (t) · v (t) + u(t) · v' (t) [u(t)- v (t)] = dt

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(t), cos(4t), t > and v(t) = < t, cos(4t), sin(t) >, use the formula below to find the given derivative.
— [u (t) • v (t)] = u' (t) · v (t) + u(t) · v' (t)
dt
d[u(t) - v (t)] =
Transcribed Image Text:If u(t) = < sin(t), cos(4t), t > and v(t) = < t, cos(4t), sin(t) >, use the formula below to find the given derivative. — [u (t) • v (t)] = u' (t) · v (t) + u(t) · v' (t) dt d[u(t) - v (t)] =
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