A particle at (1, 0, 0) starts moving in space in such a way that its position vector at any time t > 0 is R~ (t) = (cost + tsin t)^i+ (sin t -t cost)^j+t²^k, t> | 0. (a) Find parametric equations for the line tangent to the trajectory of the particle at the point where t = t/2. (b) Calculate the acceleration of the particle at time t= t/2.

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