Let r(t) = (t 2 , 1 t, 4t). Calculate the derivative of r(t) a(t)

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Let r(t) = (t², 1 − t, 4t). Calculate the derivative of r(t) · a(t) at t = 2, assuming that a(2) = (1, 3, 3) and a'(2) = (−1, 4, 1).

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 04, 2024 01:31 PM

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Let r(t) = (t 2 , 1 t, 4t). Calculate the derivative of r(t) a(t)

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By the Product Rule for dot products we have d rt at rt a t r t at dt ...View the full answer

Calculus

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