Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) = (3t, 4 sin(t), cos(6t)) (0) = (-3, 5, -1) 7(0) = (1, 4, 4) F(t) =

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Q: (a) Find the position vector of a particle that has the given acceleration and the specified initial…

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A: The general form of a single parameter vector-valued function in three-dimensional space is given by…