Find T, N, and k for the space curve r(t) = (5 sin t)i + (5 cos t) j+ 12tk. T(t) =i+j+k

Q: A curve is given in the parametric form x = [(2x - 1)/ (t + 1)], y = [t / (t+ 1)], z = t + 2. Find…

A: According to the given information, it is required to determine the torsion of the given curve.

Q: Find B and t for the space curve r(t) = N 11 ਕਰਜ |·+|· 1 +1 + 2 3 ()+( 3 +1 j, t> 0.

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Q: 3. Consider the circle as a vector-valued function r(t) = cos(t)i + sin(t)j. Calculate limt→+∞ r(t)…

A: Find the limit

Q: Let C be the curve defined by r(t) [6 cos(t) – 5 cos (t), 6 sin(t) – 5 cos(t) sin(t), cos(t)] for 0…

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Q: The parametric curve 7(t) = t2 i + (3 – t) j + et k as: 2t – 1+ e = 0 - = ť², y = 3 – t, z = et t? +…

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Q: Find the length of the curve r(t) (1,t²,), 0sts1 %3D «3 Ost<1

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Q: Find T, N, and K for the plane curve r(t) = (4cost + 4t sin t)i + (4sin t-4t cost)j, t> 0.

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Q: Let C be the curve defined by r(t) = (2 cos t,t,3 sin t), where 0<t< 2t, (a) Use a table of values…

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