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Given the Velocity Vector v⃗(t)=⟨t,−sin⁡(t),t2⟩\vec { v } ( t ) = \left\langle t , - \sin ( t ) , t ^ { 2 } \right\rangle

Question 53

Essay

Given the velocity vector v⃗(t)=⟨t,−sin⁡(t),t2⟩\vec { v } ( t ) = \left\langle t , - \sin ( t ) , t ^ { 2 } \right\rangle and r⃗(0)=⟨1,1,1⟩\vec { r } ( 0 ) = \langle 1,1,1 \rangle find r⃗(t)\vec { r } ( t )

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