Question 1 1 pts Calculate the curvature and torsion 7 at time t = 1 of a curve r(t) where v(1) = (0.4722, 2.1426, 0.6216), a(1) = (-1.6432, 2.5850, -0.3864), Then cos(k) + sin(T) is da (1) dt -0.5033 O 1.2716 -0.5244 O-1.8600 -0.5828 O 1.1397 O1.0570 -0.0484

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A: given that                                          r→(t)=4cos(2t), 4sin(2t), 2t at t=0…

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A: NOTE: Hi! Thank you for your question. As per the honor code, we'll answer the first question since…

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Q: The parametric form of the tangent line to the image of f(t) = (3t², ½, t + 1) at t = 5 is L(t) =

A: We have the parametric form of the tangent line to the image of f(t)

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Q: 4. Find the parametric equation of the tangent line to r(t) = 4costi – 3tj %3D at Po(2, –n)

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Q: 1. Find the tangent vector to the curve 6t r(t) = [t³ – t, t+1 , (2t + 1)*] at t = 1.

A: As per our guidelines we are supposed to answer only one question. If you want solution of any…

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A: Use chain rule of differentiation to solve this problem.