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Mathematics 2450, Calculus 3,
Final Exam
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1. Let the velocity vector be $v(t) = \sin t \mathbf{i} + e^{2t} \mathbf{j} - 2\mathbf{k}$, and the initial position vector be $r(0) = -\mathbf{i} + 2\mathbf{j} - 2\mathbf{k}$. Compute the acceleration vector $a(t)$, and the position vector $r(t)$.
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