Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j aT an II

Q: Find the positive t when the vector r r(t) = (3t, 4t², 10t² - 4) is perpendicular to r'(t). t =

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Q: Find the vector equation of the tangent line to F(t) = (2 sin 2t, cos 2t, – 6t) at the point where…

A: Consider the given vector. rt=2sint,cos2t,-6t   Find the derivative of the vector with respect to t.…

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: I can't find the normal component of the acceleration. (aN)

A: For normal component of acceleration:

Q: ind the curve's unit tangent vector. Also, find the length -(t) = (5cos t)i + (5sin t)j + (V7 t)k,…

A: length is 4(root 2) Pi

Q: Find the unit tangent vector T(t) for r(t) = 2ti + 3tj + 6tk at t = −2. ○-4i-6j-12k ○_1 O 3 :- i- 49…

A: To find the unit tangent vector T(t), we first need to find the derivative of r(t): r(t) = 2ti + 3tj…

Q: Find the acceleration vector r(t)=(6cost)i+(9sint)j

A: Given vector is: r(t)=(6cost)i+(9sint)j

Q: Find the of rit)= <4cos(26), 5 sinlde), 3 css (AE when Unit Normal Vector

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Q: If the position vector r(t)=e9t i +9sqrt(2)t j + e-9t k, compute the normal component of the…

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Q: Find the unit tangent vector (F(t)) and the principle unit normal vector (N(t) ) to the curve given…

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Q: Let r(t) = (t, t², t³) give the position at time t. Find the tangential and normal components of the…

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Q: Find the tangential and normal components of the acceleration vector. r(t) = ti + 2e¹j+e²tk aT an 11…

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