Find the derivative, r'(t), of the vector function. r(t) at cos(2t)i + b sin5(t)j + c cos³ (t)k r'(t) = (acos (2t) - 2at sin (2t))i + (5b cos (t) sin¹( (t))j – (3c sin(t) cos² (t))) k
Find the derivative, r'(t), of the vector function. r(t) at cos(2t)i + b sin5(t)j + c cos³ (t)k r'(t) = (acos (2t) - 2at sin (2t))i + (5b cos (t) sin¹( (t))j – (3c sin(t) cos² (t))) k
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the derivative, r'(t), of the vector function.
=
at cos(2t)i + b sin5(t)j + c cos³(t)k
r(t)
r'(t) = (acos (2t) — 2at sin ( 2t))i + (5b cos(t) sin¹( (t))j – (3c sin(t)cos²(t))) k
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