8. Find the position vector T(t), velocity vector v (t),acceleration a (t), and the speed for the motion of a particle described with parametric equations: x = 2 cos(2t), y = 2 sin(2t), Find the distance that the particle travels from t = 0, to t = 2. z = t.

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Q: Suppose r(t) = cos(nt) i + sin(t) j+ 3tk represents the position of a particle on a helix, where z…

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Q: 1. For the parametric equations: x = 4t3, y= 2 +60t – 8t?, find: a) All values of t at which the…

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Q: Find the unit tangent vector and the parametric equation of the line tangent to the given curve at…

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Q: Find parametric equations for the tangent line at t=3 for the motion of a particle given by…

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Q: 8. Given the vector r(t) = (sint,cos?, In(cos?)), find the equation of the tangent line in…

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Q: Given that r (t) = (5t cos 2t) j- (5t sin 2t) k, is the position vector of a moving particle, find…

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Q: 6. Find the position vector 7 (t) velocity vector 7(t),acceleration a (t), and the speed for the…

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