If r(t) is the position vector of a particle in the plane at time t, find the acceleration vector. r(t) = (6 cos t)i + (3 sin t)j O A. a(t) = (6 sin t)i + (3 cos t)j O B. a(t)=(-6 cos t)i + (−3 sin t)j O C. a(t)=(- 6 sin t)i + (-3 cos t)j O D. a(t)= (6 cos t)i + (3 sin t)j THE

Q: 3. Sketch the vector-valued function r(t) = (sin(2πt), t, 3 cos(2πt)), indicating direction.

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Q: Ans. (5) Given position vector r(t) = (t₁ t - sint, 1- cast) ⇒ r (t) = ti + (t-sint) 3 + (1 - cost)…

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Q: If r(t) is the position vector of a particle in the plane at time t, find the acceleration vector.…

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Q: 3. (a) Given the vector valued function r(t) = 4cos nti + 4 sin ntj + tk. Find the position vector,…

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Q: Let the velocity vector be v(t) = (6 cos(3t), 8 exp(2t), 3t2). Compute the acceleration vector a(t).

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Q: Given the vector function 7(t) = (t, sin (t) – t cos (t), cos (t) +t sin (t)) Calculate B (34)

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