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(Solved): A particle moves on the xy plane such that dtdx=t+11 for t0. At t=3, the tangent lin ...

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A particle moves on the plane such that for . At , the tangent line to the curve traced by the particle is given by . (a) Find the velocity vector and the speed of the particle at . (b) Suppose that at , the -coordinate of the particle is 6 . Find the position of the particle at . (c) Is the particle ever at rest? Justify your answer.

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