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Find r′(t)\mathbf { r } ^ { \prime } ( t )

Question 52

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Find r′(t)\mathbf { r } ^ { \prime } ( t ) and r′′(t)\mathbf { r } ^ { \prime \prime } ( t ) for r(t)=⟨tcos⁡3t−sin⁡3t,tsin⁡4t+cos⁡4t⟩\mathbf { r } ( t ) = \langle t \cos 3 t - \sin 3 t , t \sin 4 t + \cos 4 t \rangle

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\[\begin{array} { l }
\mathbf { r } ^ {...

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